com.numericalmethod.suanshu.algebra.linear.matrix.doubles.operation

Class KroneckerProduct

java.lang.Object

com.numericalmethod.suanshu.algebra.linear.matrix.doubles.matrixtype.dense.DenseMatrix

com.numericalmethod.suanshu.algebra.linear.matrix.doubles.operation.KroneckerProduct

All Implemented Interfaces:

Matrix, MatrixAccess, MatrixRing, MatrixTable, Densifiable, AbelianGroup<Matrix>, Monoid<Matrix>, Ring<Matrix>, Table, DeepCopyable

public class KroneckerProduct
extends DenseMatrix

Given an m-by-n matrix A and a p-by-q matrix B, their Kronecker product C, also called their matrix direct product, is an (mp)-by-(nq) matrix with entries defined by

c_st = a_ij b_kl

where

 s = p(i - 1) + k
 t = q(j - 1) + l
 

See Also:

Wikipedia: Kronecker product

Constructor Summary

Constructors

Constructor and Description
KroneckerProduct(Matrix A, Matrix B) Construct the Kronecker product of two matrices.

Method Summary

Methods inherited from class com.numericalmethod.suanshu.algebra.linear.matrix.doubles.matrixtype.dense.DenseMatrix

add, deepCopy, equals, get, getColumn, getColumn, getRow, getRow, hashCode, minus, multiply, multiply, nCols, nRows, ONE, opposite, scaled, set, setColumn, setRow, t, toDense, toString, ZERO

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

KroneckerProduct

public KroneckerProduct(Matrix A,
                        Matrix B)

Construct the Kronecker product of two matrices.

Parameters:

A - a matrix

B - a matrix