com.numericalmethod.suanshu.matrix.doubles.operation
Class ImmutableKroneckerProduct

java.lang.Object
  com.numericalmethod.suanshu.matrix.doubles.operation.ImmutableKroneckerProduct

All Implemented Interfaces:

DeepCopyable, AbelianGroup<Matrix>, Monoid<Matrix>, Ring<Matrix>, Matrix, MatrixAccessor, MatrixRing, MatrixDimension

public class ImmutableKroneckerProduct
extends java.lang.Object
implements Matrix

This immutable version of KroneckerProduct is fast and efficient for construction and read-only operations. The constructor just copies and stores the two input matrices, hence, saves much memory space. The accessor method, get(int, int) computes the requested entry value from the two matrices upon each call.

However, if the Kronecker product is reused for matrix operations frequently, the class KroneckerProduct, in which all entries are computed at construction, should be used instead.

See Also:

KroneckerProduct

Constructor Summary

ImmutableKroneckerProduct(Matrix a, Matrix b)
Construct a read-only Kronecker product representation.

Method Summary

Matrix	add(Matrix that) this + that
Matrix	deepCopy() Return 'this' as this Matrix is immutable.
double	get(int row, int col) Get the matrix entry at [row, col].
Vector	getColumn(int col) Get a specified column as a vector.
Vector	getRow(int row) Get a specified row as a vector.
Matrix	minus(Matrix that) this - that
Matrix	multiply(Matrix that) this %*% that
Vector	multiply(Vector v) Right multiply this matrix, A by a vector.
int	nCols() Get the number of columns.
int	nRows() Get the number of rows.
Matrix	ONE() Get an identity matrix that has the same dimension as this matrix.
Matrix	opposite() Get the opposite of this matrix.
Matrix	scaled(double scalar) scalar * this
void	set(int row, int col, double value) Set the matrix entry at [row, col] to value.
Matrix	t() t(this) Compute the transpose of this matrix.
Matrix	ZERO() Get a zero matrix that has the same dimension as this matrix.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

ImmutableKroneckerProduct

public ImmutableKroneckerProduct(Matrix a,
                                 Matrix b)

Construct a read-only Kronecker product representation.

Parameters:

a - a matrix

b - another matrix

Method Detail

nRows

public int nRows()

Description copied from interface: MatrixDimension

Get the number of rows. Rows count from 1.

Specified by:

nRows in interface MatrixDimension

Returns:

the number of rows

nCols

public int nCols()

Description copied from interface: MatrixDimension

Get the number of columns. Columns count from 1.

Specified by:

nCols in interface MatrixDimension

Returns:

the number of columns

set

public void set(int row,
                int col,
                double value)
         throws MatrixAccessException

Description copied from interface: MatrixAccessor

Set the matrix entry at [row, col] to value.

This is the only method that may change the entries of a matrix.

Specified by:

set in interface MatrixAccessor

Parameters:

row - the row index

col - the column index

value - the value to set A[row, col] to

Throws:

MatrixAccessException - if row or col is out of range

get

public double get(int row,
                  int col)
           throws MatrixAccessException

Description copied from interface: MatrixAccessor

Get the matrix entry at [row, col].

Specified by:

get in interface MatrixAccessor

Parameters:

row - the row index

col - the column index

Returns:

A[row, col]

Throws:

MatrixAccessException - if row or col is out of range

getRow

public Vector getRow(int row)
              throws MatrixAccessException

Description copied from interface: MatrixAccessor

Get a specified row as a vector.

Specified by:

getRow in interface MatrixAccessor

Parameters:

row - the row index

Returns:

a vector A[row, ]

Throws:

MatrixAccessException - when row < 1, or when row > number of rows

getColumn

public Vector getColumn(int col)
                 throws MatrixAccessException

Description copied from interface: MatrixAccessor

Get a specified column as a vector.

Specified by:

getColumn in interface MatrixAccessor

Parameters:

col - the column index

Returns:

a vector A[, col]

Throws:

MatrixAccessException - when col < 1, or when col > number of columns

add

public Matrix add(Matrix that)

Description copied from interface: MatrixRing

this + that

Specified by:

add in interface AbelianGroup<Matrix>

Specified by:

add in interface MatrixRing

Parameters:

that - another matrix

Returns:

the sum of this and that

minus

public Matrix minus(Matrix that)

Description copied from interface: MatrixRing

this - that

Specified by:

minus in interface AbelianGroup<Matrix>

Specified by:

minus in interface MatrixRing

Parameters:

that - another matrix

Returns:

the difference between this and that

multiply

public Matrix multiply(Matrix that)

Description copied from interface: MatrixRing

this %*% that

Specified by:

multiply in interface Monoid<Matrix>

Specified by:

multiply in interface MatrixRing

Parameters:

that - another matrix

Returns:

the product of this and that

multiply

public Vector multiply(Vector v)

Description copied from interface: Matrix

Right multiply this matrix, A by a vector.

Specified by:

multiply in interface Matrix

Parameters:

v - a vector

Returns:

A %*% v

scaled

public Matrix scaled(double scalar)

Description copied from interface: Matrix

scalar * this

Specified by:

scaled in interface Matrix

Parameters:

scalar - a double

Returns:

scalar * this

opposite

public Matrix opposite()

Description copied from interface: MatrixRing

Get the opposite of this matrix.

Specified by:

opposite in interface AbelianGroup<Matrix>

Specified by:

opposite in interface MatrixRing

Returns:

-this

See Also:

Wikipedia: Additive inverse

ZERO

public Matrix ZERO()

Description copied from interface: MatrixRing

Get a zero matrix that has the same dimension as this matrix.

Specified by:

ZERO in interface AbelianGroup<Matrix>

Specified by:

ZERO in interface MatrixRing

Returns:

the 0 matrix

ONE

public Matrix ONE()

Description copied from interface: MatrixRing

Get an identity matrix that has the same dimension as this matrix.

For a non-square matrix, it zeros out the rows (columns) with index > nCols (nRows).

Specified by:

ONE in interface Monoid<Matrix>

Specified by:

ONE in interface MatrixRing

Returns:

an identity matrix

t

public Matrix t()

Description copied from interface: MatrixRing

t(this)

Compute the transpose of this matrix. The original matrix does not change. The returned value is independent and can be modified anyhow.

This is the involution on the matrix ring.

Specified by:

t in interface MatrixRing

Returns:

the transpose of this matrix, of the same type

deepCopy

public Matrix deepCopy()

Return 'this' as this Matrix is immutable. To produce a mutable copy, please use KroneckerProduct.

Specified by:

deepCopy in interface DeepCopyable

Specified by:

deepCopy in interface Matrix

Returns:

'this'