fr.cnes.sirius.patrius.math.linear

Interface RealMatrix

All Superinterfaces:

AnyMatrix

All Known Implementing Classes:

AbstractRealMatrix, Array2DRowRealMatrix, BlockRealMatrix, DiagonalMatrix, SymmetricMatrix

public interface RealMatrix
extends AnyMatrix

Interface defining a real-valued matrix with basic algebraic operations.

Matrix element indexing is 0-based -- e.g., getEntry(0, 0) returns the element in the first row, first column of the matrix.

Version:

$Id: RealMatrix.java 18108 2017-10-04 06:45:27Z bignon $

Method Summary

Modifier and Type	Method and Description
RealMatrix	add(RealMatrix m) Returns the sum of this and m.
void	addToEntry(int row, int column, double increment) Adds (in place) the specified value to the specified entry of this matrix.
RealMatrix	copy() Returns a (deep) copy of this.
void	copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination) Copy a submatrix.
void	copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, double[][] destination) Copy a submatrix.
RealMatrix	createMatrix(int rowDimension, int columnDimension) Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
double[]	getColumn(int column) Get the entries at the given column index as an array.
RealMatrix	getColumnMatrix(int column) Get the entries at the given column index as a column matrix.
RealVector	getColumnVector(int column) Get the entries at the given column index as a vector.
double[][]	getData() Returns matrix entries as a two-dimensional array.
double	getEntry(int row, int column) Get the entry in the specified row and column.
double	getFrobeniusNorm() Returns the Frobenius norm of the matrix.
double	getNorm() Returns the maximum absolute row sum norm of the matrix.
double[]	getRow(int row) Get the entries at the given row index.
RealMatrix	getRowMatrix(int row) Get the entries at the given row index as a row matrix.
RealVector	getRowVector(int row) Returns the entries in row number row as a vector.
RealMatrix	getSubMatrix(int[] selectedRows, int[] selectedColumns) Gets a submatrix.
RealMatrix	getSubMatrix(int startRow, int endRow, int startColumn, int endColumn) Gets a submatrix.
double	getTrace() Returns the trace of the matrix (the sum of the elements on the main diagonal).
boolean	isAntisymmetric(double zeroDiagonalThreshold) Checks if this is a antisymmetric matrix
boolean	isDiagonal(double threshold) Given a threshold, is this a diagonal matrix? The method indicates if the matrix is diagonal.
boolean	isInvertible(double threshold) Given a threshold, is this an invertible matrix? The method indicates if the matrix is invertible.
boolean	isOrthogonal(double thresholdNorm, double thresholdOrthogonality) Given a threshold, is this an orthogonal matrix? The method indicates if the matrix is orthogonal.
boolean	isSymmetric() Checks if this is a symmetric matrix
RealMatrix	multiply(RealMatrix m) Returns the result of postmultiplying this by m.
void	multiplyEntry(int row, int column, double factor) Multiplies (in place) the specified entry of this matrix by the specified value.
double[]	operate(double[] v) Returns the result of multiplying this by the vector v.
RealVector	operate(RealVector v) Returns the result of multiplying this by the vector v.
RealMatrix	power(int p) Returns the result of multiplying this with itself p times.
double[]	preMultiply(double[] v) Returns the (row) vector result of premultiplying this by the vector v.
RealMatrix	preMultiply(RealMatrix m) Returns the result of premultiplying this by m.
RealVector	preMultiply(RealVector v) Returns the (row) vector result of premultiplying this by the vector v.
RealMatrix	scalarAdd(double d) Returns the result of adding d to each entry of this.
RealMatrix	scalarMultiply(double d) Returns the result of multiplying each entry of this by d.
void	setColumn(int column, double[] array) Sets the specified column of this matrix to the entries of the specified array.
void	setColumnMatrix(int column, RealMatrix matrix) Sets the specified column of this matrix to the entries of the specified column matrix.
void	setColumnVector(int column, RealVector vector) Sets the specified column of this matrix to the entries of the specified vector.
void	setEntry(int row, int column, double value) Set the entry in the specified row and column.
void	setRow(int row, double[] array) Sets the specified row of this matrix to the entries of the specified array.
void	setRowMatrix(int row, RealMatrix matrix) Sets the specified row of this matrix to the entries of the specified row matrix.
void	setRowVector(int row, RealVector vector) Sets the specified row of this matrix to the entries of the specified vector.
void	setSubMatrix(double[][] subMatrix, int row, int column) Replace the submatrix starting at row, column using data in the input subMatrix array.
RealMatrix	subtract(RealMatrix m) Returns this minus m.
RealMatrix	transpose() Returns the transpose of this matrix.
double	walkInColumnOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries in column order.
double	walkInColumnOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in column order.
double	walkInColumnOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries in column order.
double	walkInColumnOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in column order.
double	walkInOptimizedOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries using the fastest possible order.
double	walkInOptimizedOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries using the fastest possible order.
double	walkInOptimizedOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries using the fastest possible order.
double	walkInOptimizedOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries using the fastest possible order.
double	walkInRowOrder(RealMatrixChangingVisitor visitor) Visit (and possibly change) all matrix entries in row order.
double	walkInRowOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (and possibly change) some matrix entries in row order.
double	walkInRowOrder(RealMatrixPreservingVisitor visitor) Visit (but don't change) all matrix entries in row order.
double	walkInRowOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn) Visit (but don't change) some matrix entries in row order.

Methods inherited from interface fr.cnes.sirius.patrius.math.linear.AnyMatrix

getColumnDimension, getRowDimension, isSquare

Method Detail

createMatrix

RealMatrix createMatrix(int rowDimension,
                        int columnDimension)

Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.

Parameters:

rowDimension - the number of rows in the new matrix

columnDimension - the number of columns in the new matrix

Returns:

a new matrix of the same type as the instance

Throws:

NotStrictlyPositiveException - if row or column dimension is not positive.

Since:

2.0

copy

RealMatrix copy()

Returns a (deep) copy of this.

Returns:

matrix copy

add

RealMatrix add(RealMatrix m)

Returns the sum of this and m.

Parameters:

m - matrix to be added

Returns:

this + m

Throws:

MatrixDimensionMismatchException - if m is not the same size as this.

subtract

RealMatrix subtract(RealMatrix m)

Returns this minus m.

Parameters:

m - matrix to be subtracted

Returns:

this - m

Throws:

MatrixDimensionMismatchException - if m is not the same size as this.

scalarAdd

RealMatrix scalarAdd(double d)

Returns the result of adding d to each entry of this.

Parameters:

d - value to be added to each entry

Returns:

d + this

scalarMultiply

RealMatrix scalarMultiply(double d)

Returns the result of multiplying each entry of this by d.

Parameters:

d - value to multiply all entries by

Returns:

d * this

multiply

RealMatrix multiply(RealMatrix m)

Returns the result of postmultiplying this by m.

Parameters:

m - matrix to postmultiply by

Returns:

this * m

Throws:

DimensionMismatchException - if columnDimension(this) != rowDimension(m)

preMultiply

RealMatrix preMultiply(RealMatrix m)

Returns the result of premultiplying this by m.

Parameters:

m - matrix to premultiply by

Returns:

m * this

Throws:

DimensionMismatchException - if rowDimension(this) != columnDimension(m)

power

RealMatrix power(int p)

Returns the result of multiplying this with itself p times. Depending on the underlying storage, instability for high powers might occur.

Parameters:

p - raise this to power p

Returns:

this^p

Throws:

NotPositiveException - if p < 0

NonSquareMatrixException - if the matrix is not square

getData

double[][] getData()

Returns matrix entries as a two-dimensional array.

Returns:

2-dimensional array of entries

getNorm

double getNorm()

Returns the maximum absolute row sum norm of the matrix.

Returns:

norm

getFrobeniusNorm

double getFrobeniusNorm()

Returns the Frobenius norm of the matrix.

Returns:

norm

getSubMatrix

RealMatrix getSubMatrix(int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)

Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

The subMatrix containing the data of the specified rows and columns.

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

getSubMatrix

RealMatrix getSubMatrix(int[] selectedRows,
                        int[] selectedColumns)

Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

selectedRows - Array of row indices.

selectedColumns - Array of column indices.

Returns:

The subMatrix containing the data in the specified rows and columns

Throws:

NullArgumentException - if the row or column selections are null

NoDataException - if the row or column selections are empty (zero length).

OutOfRangeException - if the indices are not valid.

copySubMatrix

void copySubMatrix(int startRow,
                   int endRow,
                   int startColumn,
                   int endColumn,
                   double[][] destination)

Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

MatrixDimensionMismatchException - if the destination array is too small.

copySubMatrix

void copySubMatrix(int[] selectedRows,
                   int[] selectedColumns,
                   double[][] destination)

Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.

Parameters:

selectedRows - Array of row indices.

selectedColumns - Array of column indices.

destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)

Throws:

NullArgumentException - if the row or column selections are null

NoDataException - if the row or column selections are empty (zero length).

OutOfRangeException - if the indices are not valid.

MatrixDimensionMismatchException - if the destination array is too small.

setSubMatrix

void setSubMatrix(double[][] subMatrix,
                  int row,
                  int column)

Replace the submatrix starting at row, column using data in the input subMatrix array. Indexes are 0-based.

Example:
Starting with

 1  2  3  4
 5  6  7  8
 9  0  1  2
 

and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in

 1  2  3  4
 5  3  4  8
 9  5  6  2
 

Parameters:

subMatrix - array containing the submatrix replacement data

row - row coordinate of the top, left element to be replaced

column - column coordinate of the top, left element to be replaced

Throws:

NoDataException - if subMatrix is empty.

OutOfRangeException - if subMatrix does not fit into this matrix from element in (row, column).

DimensionMismatchException - if subMatrix is not rectangular (not all rows have the same length) or empty.

NullArgumentException - if subMatrix is null.

Since:

2.0

getRowMatrix

RealMatrix getRowMatrix(int row)

Get the entries at the given row index as a row matrix. Row indices start at 0.

Parameters:

row - Row to be fetched.

Returns:

row Matrix.

Throws:

OutOfRangeException - if the specified row index is invalid.

setRowMatrix

void setRowMatrix(int row,
                  RealMatrix matrix)

Sets the specified row of this matrix to the entries of the specified row matrix. Row indices start at 0.

Parameters:

row - Row to be set.

matrix - Row matrix to be copied (must have one row and the same number of columns as the instance).

Throws:

OutOfRangeException - if the specified row index is invalid.

MatrixDimensionMismatchException - if the row dimension of the matrix is not 1, or the column dimensions of this and matrix do not match.

getColumnMatrix

RealMatrix getColumnMatrix(int column)

Get the entries at the given column index as a column matrix. Column indices start at 0.

Parameters:

column - Column to be fetched.

Returns:

column Matrix.

Throws:

OutOfRangeException - if the specified column index is invalid.

setColumnMatrix

void setColumnMatrix(int column,
                     RealMatrix matrix)

Sets the specified column of this matrix to the entries of the specified column matrix. Column indices start at 0.

Parameters:

column - Column to be set.

matrix - Column matrix to be copied (must have one column and the same number of rows as the instance).

Throws:

OutOfRangeException - if the specified column index is invalid.

MatrixDimensionMismatchException - if the column dimension of the matrix is not 1, or the row dimensions of this and matrix do not match.

getRowVector

RealVector getRowVector(int row)

Returns the entries in row number row as a vector. Row indices start at 0.

Parameters:

row - Row to be fetched.

Returns:

a row vector.

Throws:

OutOfRangeException - if the specified row index is invalid.

setRowVector

void setRowVector(int row,
                  RealVector vector)

Sets the specified row of this matrix to the entries of the specified vector. Row indices start at 0.

Parameters:

row - Row to be set.

vector - row vector to be copied (must have the same number of column as the instance).

Throws:

OutOfRangeException - if the specified row index is invalid.

MatrixDimensionMismatchException - if the vector dimension does not match the column dimension of this matrix.

getColumnVector

RealVector getColumnVector(int column)

Get the entries at the given column index as a vector. Column indices start at 0.

Parameters:

column - Column to be fetched.

Returns:

a column vector.

Throws:

OutOfRangeException - if the specified column index is invalid

setColumnVector

void setColumnVector(int column,
                     RealVector vector)

Sets the specified column of this matrix to the entries of the specified vector. Column indices start at 0.

Parameters:

column - Column to be set.

vector - column vector to be copied (must have the same number of rows as the instance).

Throws:

OutOfRangeException - if the specified column index is invalid.

MatrixDimensionMismatchException - if the vector dimension does not match the row dimension of this matrix.

getRow

double[] getRow(int row)

Get the entries at the given row index. Row indices start at 0.

Parameters:

row - Row to be fetched.

Returns:

the array of entries in the row.

Throws:

OutOfRangeException - if the specified row index is not valid.

setRow

void setRow(int row,
            double[] array)

Sets the specified row of this matrix to the entries of the specified array. Row indices start at 0.

Parameters:

row - Row to be set.

array - Row matrix to be copied (must have the same number of columns as the instance)

Throws:

OutOfRangeException - if the specified row index is invalid.

MatrixDimensionMismatchException - if the array length does not match the column dimension of this matrix.

getColumn

double[] getColumn(int column)

Get the entries at the given column index as an array. Column indices start at 0.

Parameters:

column - Column to be fetched.

Returns:

the array of entries in the column.

Throws:

OutOfRangeException - if the specified column index is not valid.

setColumn

void setColumn(int column,
               double[] array)

Sets the specified column of this matrix to the entries of the specified array. Column indices start at 0.

Parameters:

column - Column to be set.

array - Column array to be copied (must have the same number of rows as the instance).

Throws:

OutOfRangeException - if the specified column index is invalid.

MatrixDimensionMismatchException - if the array length does not match the row dimension of this matrix.

getEntry

double getEntry(int row,
                int column)

Get the entry in the specified row and column. Row and column indices start at 0.

Parameters:

row - Row index of entry to be fetched.

column - Column index of entry to be fetched.

Returns:

the matrix entry at (row, column).

Throws:

OutOfRangeException - if the row or column index is not valid.

setEntry

void setEntry(int row,
              int column,
              double value)

Set the entry in the specified row and column. Row and column indices start at 0.

Parameters:

row - Row index of entry to be set.

column - Column index of entry to be set.

value - the new value of the entry.

Throws:

OutOfRangeException - if the row or column index is not valid

Since:

2.0

addToEntry

void addToEntry(int row,
                int column,
                double increment)

Adds (in place) the specified value to the specified entry of this matrix. Row and column indices start at 0.

Parameters:

row - Row index of the entry to be modified.

column - Column index of the entry to be modified.

increment - value to add to the matrix entry.

Throws:

OutOfRangeException - if the row or column index is not valid.

Since:

2.0

multiplyEntry

void multiplyEntry(int row,
                   int column,
                   double factor)

Multiplies (in place) the specified entry of this matrix by the specified value. Row and column indices start at 0.

Parameters:

row - Row index of the entry to be modified.

column - Column index of the entry to be modified.

factor - Multiplication factor for the matrix entry.

Throws:

OutOfRangeException - if the row or column index is not valid.

Since:

2.0

transpose

RealMatrix transpose()

Returns the transpose of this matrix.

Returns:

transpose matrix

isOrthogonal

boolean isOrthogonal(double thresholdNorm,
                     double thresholdOrthogonality)

Given a threshold, is this an orthogonal matrix? The method indicates if the matrix is orthogonal. To do so the method checks if the column vectors of the matrix form an orthonomal set.

Parameters:

thresholdNorm - : allowed relative error with respect to the normality of the vectors

thresholdOrthogonality - : allowed absolute error with respect to the mutual orthogonality of the vectors

Returns:

true if the vectors form an orthonormal set taking into account an allowed error, false otherwise

isDiagonal

boolean isDiagonal(double threshold)

Given a threshold, is this a diagonal matrix? The method indicates if the matrix is diagonal. To do so the method checks if the non diagonal elements are zero.

Parameters:

threshold - : allowed absolute error on non diagonal elements

Returns:

true if the non diagonal elements are zero taking into account a threshold, false otherwise

isInvertible

boolean isInvertible(double threshold)

Given a threshold, is this an invertible matrix? The method indicates if the matrix is invertible. To do so the method checks the linear independence between the column vectors of the matrix.

Parameters:

threshold - : allowed relative error on the column vectors independence

Returns:

true if the determinant is different to zero taking into account a threshold, false otherwise

getTrace

double getTrace()

Returns the trace of the matrix (the sum of the elements on the main diagonal).

Returns:

the trace.

Throws:

NonSquareMatrixException - if the matrix is not square.

isSymmetric

boolean isSymmetric()

Checks if this is a symmetric matrix

Returns:

true if this is a symmetric matrix

isAntisymmetric

boolean isAntisymmetric(double zeroDiagonalThreshold)

Checks if this is a antisymmetric matrix

Parameters:

zeroDiagonalThreshold - the threshold used in comparisons to zero for the diagonal values

Returns:

true if this is a antisymmetric matrix

operate

double[] operate(double[] v)

Returns the result of multiplying this by the vector v.

Parameters:

v - the vector to operate on

Returns:

this * v

Throws:

DimensionMismatchException - if the length of v does not match the column dimension of this.

operate

RealVector operate(RealVector v)

Returns the result of multiplying this by the vector v.

Parameters:

v - the vector to operate on

Returns:

this * v

Throws:

DimensionMismatchException - if the dimension of v does not match the column dimension of this.

preMultiply

double[] preMultiply(double[] v)

Returns the (row) vector result of premultiplying this by the vector v.

Parameters:

v - the row vector to premultiply by

Returns:

v * this

Throws:

DimensionMismatchException - if the length of v does not match the row dimension of this.

preMultiply

RealVector preMultiply(RealVector v)

Returns the (row) vector result of premultiplying this by the vector v.

Parameters:

v - the row vector to premultiply by

Returns:

v * this

Throws:

DimensionMismatchException - if the dimension of v does not match the row dimension of this.

walkInRowOrder

double walkInRowOrder(RealMatrixChangingVisitor visitor)

Visit (and possibly change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

See Also:

walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

double walkInRowOrder(RealMatrixPreservingVisitor visitor)

Visit (but don't change) all matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

double walkInRowOrder(RealMatrixChangingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)

Visit (and possibly change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

double walkInRowOrder(RealMatrixPreservingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)

Visit (but don't change) some matrix entries in row order.

Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixChangingVisitor visitor)

Visit (and possibly change) all matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixPreservingVisitor visitor)

Visit (but don't change) all matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixChangingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)

Visit (and possibly change) some matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)

Visit (but don't change) some matrix entries in column order.

Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixChangingVisitor visitor)

Visit (and possibly change) all matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)

Visit (but don't change) all matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixChangingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)

Visit (and possibly change) some matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

the value returned by RealMatrixChangingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInOptimizedOrder

double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)

Visit (but don't change) some matrix entries using the fastest possible order.

The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.

Parameters:

visitor - visitor used to process all matrix entries

startRow - Initial row index

endRow - Final row index (inclusive)

startColumn - Initial column index

endColumn - Final column index (inclusive)

Returns:

the value returned by RealMatrixPreservingVisitor.end() at the end of the walk

Throws:

OutOfRangeException - if the indices are not valid.

NumberIsTooSmallException - if endRow < startRow or endColumn < startColumn.

See Also:

walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)