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Scilab Help >> Elementary Functions > Matrix operations > kron

kron

Kronecker product (.*.)

Syntax

kron(A,B)
A.*.B

Arguments

A

a matrix or hypermatrix.

B

a matrix or hypermatrix.

Description

kron(A,B) or A.*.B returns the Kronecker tensor product of two matrices or hypermatricesA and B. The resulting matrix has the following block form:

If A is a m x n matrix and B a p x q x r hypermatrix then A.*.B is a (m*p) x (n*q) x (1*r) hypermatrix.

A and B can be sparse matrices, although the Kronecker product is not defined between a sparse matrix and a hypermatrix.

Examples

A = [1,2;3,4];
kron(A,A)
A.*.A
sparse(A).*.sparse(A)
A(1,1) = %i;
kron(A,A)

// With hypermatrices
// ------------------
b = matrix(1:24, [4 3 2]);

// row .*. hypermat
a = 1:2, b
a.*.b

// hypermat .*. row
b,a
b .*. a

// column .*. hypermat
a = [1;2], b
a.*.b

// matrix .*. hypermat
a = [-1 -2; 2 1], b
a.*.b

// hypermat .*. hypermat
a = matrix([-1,-2, 1 2], [1 2 2]), b
a.*.b

History

VersionDescription
5.5.1

Extension to hypermatrices

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Last updated:
Thu Feb 14 14:57:13 CET 2019