org.apache.commons.math3.linear
Class Array2DRowRealMatrix

java.lang.Object
  extended by org.apache.commons.math3.linear.RealLinearOperator
      extended by org.apache.commons.math3.linear.AbstractRealMatrix
          extended by org.apache.commons.math3.linear.Array2DRowRealMatrix
All Implemented Interfaces:
Serializable, AnyMatrix, RealMatrix

public class Array2DRowRealMatrix
extends AbstractRealMatrix
implements Serializable

Implementation of RealMatrix using a double[][] array to store entries.

Version:
$Id: Array2DRowRealMatrix.java 7721 2013-02-14 14:07:13Z CardosoP $
See Also:
Serialized Form

Constructor Summary
Array2DRowRealMatrix()
          Creates a matrix with no data
Array2DRowRealMatrix(double[] v)
          Create a new (column) RealMatrix using v as the data for the unique column of the created matrix.
Array2DRowRealMatrix(double[][] d)
          Create a new RealMatrix using the input array as the underlying data array.
Array2DRowRealMatrix(double[][] d, boolean copyArray)
          Create a new RealMatrix using the input array as the underlying data array.
Array2DRowRealMatrix(int rowDimension, int columnDimension)
          Create a new RealMatrix with the supplied row and column dimensions.
 
Method Summary
 Array2DRowRealMatrix add(Array2DRowRealMatrix m)
          Compute 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.
 RealMatrix createMatrix(int rowDimension, int columnDimension)
          Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
 int getColumnDimension()
          Returns the number of columns of this matrix.
 double[][] getData()
          Returns matrix entries as a two-dimensional array.
 double[][] getDataRef()
          Get a reference to the underlying data array.
 double getEntry(int row, int column)
          Get the entry in the specified row and column.
 int getRowDimension()
          Returns the number of rows of this matrix.
 Array2DRowRealMatrix multiply(Array2DRowRealMatrix 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.
 double[] preMultiply(double[] v)
          Returns the (row) vector result of premultiplying this by the vector v.
 void setEntry(int row, int column, double value)
          Set the entry in the specified row and column.
 void setSubMatrix(double[][] subMatrix, int row, int column)
          Replace the submatrix starting at row, column using data in the input subMatrix array.
 Array2DRowRealMatrix subtract(Array2DRowRealMatrix m)
          Returns this minus m.
 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 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 class org.apache.commons.math3.linear.AbstractRealMatrix
add, copySubMatrix, copySubMatrix, equals, getColumn, getColumnMatrix, getColumnVector, getFrobeniusNorm, getNorm, getRow, getRowMatrix, getRowVector, getSubMatrix, getSubMatrix, getTrace, hashCode, isAntisymmetric, isDiagonal, isInvertible, isOrthogonal, isSquare, isSymmetric, isSymmetric, multiply, operate, power, preMultiply, preMultiply, scalarAdd, scalarMultiply, setColumn, setColumnMatrix, setColumnVector, setRow, setRowMatrix, setRowVector, subtract, toString, transpose, walkInOptimizedOrder, walkInOptimizedOrder, walkInOptimizedOrder, walkInOptimizedOrder
 
Methods inherited from class org.apache.commons.math3.linear.RealLinearOperator
isTransposable, operateTranspose
 
Methods inherited from class java.lang.Object
clone, finalize, getClass, notify, notifyAll, wait, wait, wait
 

Constructor Detail

Array2DRowRealMatrix

public Array2DRowRealMatrix()
Creates a matrix with no data


Array2DRowRealMatrix

public Array2DRowRealMatrix(int rowDimension,
                            int columnDimension)
                     throws NotStrictlyPositiveException
Create a new RealMatrix with the supplied row and column dimensions.

Parameters:
rowDimension - Number of rows in the new matrix.
columnDimension - Number of columns in the new matrix.
Throws:
NotStrictlyPositiveException - if the row or column dimension is not positive.

Array2DRowRealMatrix

public Array2DRowRealMatrix(double[][] d)
                     throws DimensionMismatchException,
                            NoDataException,
                            NullArgumentException
Create a new RealMatrix using the input array as the underlying data array.

The input array is copied, not referenced. This constructor has the same effect as calling Array2DRowRealMatrix(double[][], boolean) with the second argument set to true.

Parameters:
d - Data for the new matrix.
Throws:
DimensionMismatchException - if d is not rectangular.
NoDataException - if d row or colum dimension is zero.
NullArgumentException - if d is null.
See Also:
Array2DRowRealMatrix(double[][], boolean)

Array2DRowRealMatrix

public Array2DRowRealMatrix(double[][] d,
                            boolean copyArray)
                     throws DimensionMismatchException,
                            NoDataException,
                            NullArgumentException
Create a new RealMatrix using the input array as the underlying data array. If an array is built specially in order to be embedded in a RealMatrix and not used directly, the copyArray may be set to false. This will prevent the copying and improve performance as no new array will be built and no data will be copied.

Parameters:
d - Data for new matrix.
copyArray - if true, the input array will be copied, otherwise it will be referenced.
Throws:
DimensionMismatchException - if d is not rectangular.
NoDataException - if d row or colum dimension is zero.
NullArgumentException - if d is null.
See Also:
Array2DRowRealMatrix(double[][])

Array2DRowRealMatrix

public Array2DRowRealMatrix(double[] v)
Create a new (column) RealMatrix using v as the data for the unique column of the created matrix. The input array is copied.

Parameters:
v - Column vector holding data for new matrix.
Method Detail

createMatrix

public RealMatrix createMatrix(int rowDimension,
                               int columnDimension)
                        throws NotStrictlyPositiveException
Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.

Specified by:
createMatrix in interface RealMatrix
Specified by:
createMatrix in class AbstractRealMatrix
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.

copy

public RealMatrix copy()
Returns a (deep) copy of this.

Specified by:
copy in interface RealMatrix
Specified by:
copy in class AbstractRealMatrix
Returns:
matrix copy

add

public Array2DRowRealMatrix add(Array2DRowRealMatrix m)
                         throws MatrixDimensionMismatchException
Compute 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

public Array2DRowRealMatrix subtract(Array2DRowRealMatrix m)
                              throws MatrixDimensionMismatchException
Returns this minus m.

Parameters:
m - Matrix to be subtracted.
Returns:
this - m
Throws:
MatrixDimensionMismatchException - if m is not the same size as this.

multiply

public Array2DRowRealMatrix multiply(Array2DRowRealMatrix m)
                              throws DimensionMismatchException
Returns the result of postmultiplying this by m.

Parameters:
m - matrix to postmultiply by
Returns:
this * m
Throws:
DimensionMismatchException - if columnDimension(this) != rowDimension(m)

getData

public double[][] getData()
Returns matrix entries as a two-dimensional array.

Specified by:
getData in interface RealMatrix
Overrides:
getData in class AbstractRealMatrix
Returns:
2-dimensional array of entries

getDataRef

public double[][] getDataRef()
Get a reference to the underlying data array.

Returns:
2-dimensional array of entries.

setSubMatrix

public void setSubMatrix(double[][] subMatrix,
                         int row,
                         int column)
                  throws NoDataException,
                         OutOfRangeException,
                         DimensionMismatchException,
                         NullArgumentException
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
 

Specified by:
setSubMatrix in interface RealMatrix
Overrides:
setSubMatrix in class AbstractRealMatrix
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.

getEntry

public double getEntry(int row,
                       int column)
                throws OutOfRangeException
Get the entry in the specified row and column. Row and column indices start at 0.

Specified by:
getEntry in interface RealMatrix
Specified by:
getEntry in class AbstractRealMatrix
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

public void setEntry(int row,
                     int column,
                     double value)
              throws OutOfRangeException
Set the entry in the specified row and column. Row and column indices start at 0.

Specified by:
setEntry in interface RealMatrix
Specified by:
setEntry in class AbstractRealMatrix
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

addToEntry

public void addToEntry(int row,
                       int column,
                       double increment)
                throws OutOfRangeException
Adds (in place) the specified value to the specified entry of this matrix. Row and column indices start at 0.

Specified by:
addToEntry in interface RealMatrix
Overrides:
addToEntry in class AbstractRealMatrix
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.

multiplyEntry

public void multiplyEntry(int row,
                          int column,
                          double factor)
                   throws OutOfRangeException
Multiplies (in place) the specified entry of this matrix by the specified value. Row and column indices start at 0.

Specified by:
multiplyEntry in interface RealMatrix
Overrides:
multiplyEntry in class AbstractRealMatrix
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.

getRowDimension

public int getRowDimension()
Returns the number of rows of this matrix.

Specified by:
getRowDimension in interface AnyMatrix
Specified by:
getRowDimension in class AbstractRealMatrix
Returns:
the number of rows.

getColumnDimension

public int getColumnDimension()
Returns the number of columns of this matrix.

Specified by:
getColumnDimension in interface AnyMatrix
Specified by:
getColumnDimension in class AbstractRealMatrix
Returns:
the number of columns.

operate

public double[] operate(double[] v)
                 throws DimensionMismatchException
Returns the result of multiplying this by the vector v.

Specified by:
operate in interface RealMatrix
Overrides:
operate in class AbstractRealMatrix
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.

preMultiply

public double[] preMultiply(double[] v)
                     throws DimensionMismatchException
Returns the (row) vector result of premultiplying this by the vector v.

Specified by:
preMultiply in interface RealMatrix
Overrides:
preMultiply in class AbstractRealMatrix
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.

walkInRowOrder

public 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.

Specified by:
walkInRowOrder in interface RealMatrix
Overrides:
walkInRowOrder in class AbstractRealMatrix
Parameters:
visitor - visitor used to process all matrix entries
Returns:
the value returned by RealMatrixChangingVisitor.end() at the end of the walk
See Also:
RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public 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.

Specified by:
walkInRowOrder in interface RealMatrix
Overrides:
walkInRowOrder in class AbstractRealMatrix
Parameters:
visitor - visitor used to process all matrix entries
Returns:
the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
See Also:
RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public double walkInRowOrder(RealMatrixChangingVisitor visitor,
                             int startRow,
                             int endRow,
                             int startColumn,
                             int endColumn)
                      throws OutOfRangeException,
                             NumberIsTooSmallException
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.

Specified by:
walkInRowOrder in interface RealMatrix
Overrides:
walkInRowOrder in class AbstractRealMatrix
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:
RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInRowOrder

public double walkInRowOrder(RealMatrixPreservingVisitor visitor,
                             int startRow,
                             int endRow,
                             int startColumn,
                             int endColumn)
                      throws OutOfRangeException,
                             NumberIsTooSmallException
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.

Specified by:
walkInRowOrder in interface RealMatrix
Overrides:
walkInRowOrder in class AbstractRealMatrix
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:
RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public 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.

Specified by:
walkInColumnOrder in interface RealMatrix
Overrides:
walkInColumnOrder in class AbstractRealMatrix
Parameters:
visitor - visitor used to process all matrix entries
Returns:
the value returned by RealMatrixChangingVisitor.end() at the end of the walk
See Also:
RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public 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.

Specified by:
walkInColumnOrder in interface RealMatrix
Overrides:
walkInColumnOrder in class AbstractRealMatrix
Parameters:
visitor - visitor used to process all matrix entries
Returns:
the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
See Also:
RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public double walkInColumnOrder(RealMatrixChangingVisitor visitor,
                                int startRow,
                                int endRow,
                                int startColumn,
                                int endColumn)
                         throws OutOfRangeException,
                                NumberIsTooSmallException
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.

Specified by:
walkInColumnOrder in interface RealMatrix
Overrides:
walkInColumnOrder in class AbstractRealMatrix
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:
RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)

walkInColumnOrder

public double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
                                int startRow,
                                int endRow,
                                int startColumn,
                                int endColumn)
                         throws OutOfRangeException,
                                NumberIsTooSmallException
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.

Specified by:
walkInColumnOrder in interface RealMatrix
Overrides:
walkInColumnOrder in class AbstractRealMatrix
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:
RealMatrix.walkInRowOrder(RealMatrixChangingVisitor), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor), RealMatrix.walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor), RealMatrix.walkInColumnOrder(RealMatrixPreservingVisitor), RealMatrix.walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor), RealMatrix.walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), RealMatrix.walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)


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