dev.nm.algebra.linear.matrix.doubles.operation

Class KroneckerProduct

java.lang.Object

dev.nm.algebra.linear.matrix.doubles.matrixtype.dense.DenseMatrix

dev.nm.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 \[ \begin{gathered} s = p(i - 1) + k \\ t = q(j - 1) + l \end{gathered} \]

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 dev.nm.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

Methods inherited from interface dev.nm.algebra.linear.matrix.doubles.Matrix

toCSV

Constructor Detail

KroneckerProduct

public KroneckerProduct(Matrix A,
                        Matrix B)

Construct the Kronecker product of two matrices.

Parameters:

A - a matrix

B - a matrix