?lakf2

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 10/15/2026

Version

Public

?lakf2

Forms a matrix containing Kronecker products between the given matrices.

Syntax

void slakf2(lapack_int *m, lapack_int *n, float *a, lapack_int *lda, float *b, float *d,
            float *e, float *z, lapack_int *ldz);

void dlakf2(lapack_int *m, lapack_int *n, double *a, lapack_int *lda, double *b,
            double *d, double *e, double *z, lapack_int *ldz);

void clakf2(lapack_int *m, lapack_int *n, lapack_complex *a, lapack_int *lda,
            lapack_complex *b, lapack_complex *d, lapack_complex *e, lapack_complex *z,
            lapack_int *ldz);

void zlakf2(lapack_int *m, lapack_int *n, lapack_complex_double *a, lapack_int *lda,
            lapack_complex_double *b, lapack_complex_double *d, lapack_complex_double *e,
            lapack_complex_double *z, lapack_int *ldz);

Include Files

mkl.h

Description

The routine ?lakf2 forms the 2* m * n by 2* m * n matrix Z .

, where In is the identity matrix of size n and X^T is the transpose of X . kron(X, Y) is the Kronecker product between the matrices X and Y .

Input Parameters

m

Size of matrix, m ≥ 1

n

Size of matrix, n ≥ 1

a: REAL for slakf2 , DOUBLE PRECISION for dlakf2 , COMPLEX for clakf2 , DOUBLE COMPLEX for zlakf2 , Array, size lda -by- n . The matrix A in the output matrix Z .

lda

The leading dimension of a , b , d , and e . lda≥m+n .

b: REAL for slakf2 , DOUBLE PRECISION for dlakf2 , COMPLEX for clakf2 , DOUBLE COMPLEX for zlakf2 , Array, size lda by n . Matrix used in forming the output matrix Z .
d: REAL for slakf2 , DOUBLE PRECISION for dlakf2 , COMPLEX for clakf2 , DOUBLE COMPLEX for zlakf2 , Array, size lda by m . Matrix used in forming the output matrix Z .
e: REAL for slakf2 , DOUBLE PRECISION for dlakf2 , COMPLEX for clakf2 , DOUBLE COMPLEX for zlakf2 , Array, size lda by n . Matrix used in forming the output matrix Z .

ldz

The leading dimension of Z . ldz≥ 2* m*n .

Output Parameters

z: REAL for slakf2 , DOUBLE PRECISION for dlakf2 , COMPLEX for clakf2 , DOUBLE COMPLEX for zlakf2 , Array, size ldz -by-2* m * n . The resultant Kronecker m * n *2 -by- m * n *2 matrix.

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Developer Reference for Intel® oneAPI Math Kernel Library for C

?lakf2

Syntax

Include Files

Description

Input Parameters

Output Parameters