Scilab Home page | Wiki | Bug tracker | Forge | Mailing list archives | ATOMS | File exchange
Scilab 6.0.2
Change language to: Français - Português - 日本語 - Русский

# 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 hypermatrices`A` 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

 Version Description 5.5.1 Extension to hypermatrices