?lagge

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

?lagge

Generates a general m -by- n matrix .

Syntax

lapack_intLAPACKE_slagge ( intmatrix_layout , lapack_intm , lapack_intn , lapack_intkl , lapack_intku , constfloat*d , float*a , lapack_intlda , lapack_int*iseed );

lapack_intLAPACKE_dlagge ( intmatrix_layout , lapack_intm , lapack_intn , lapack_intkl , lapack_intku , constdouble*d , double*a , lapack_intlda , lapack_int*iseed );

lapack_intLAPACKE_clagge ( intmatrix_layout , lapack_intm , lapack_intn , lapack_intkl , lapack_intku , constfloat*d , lapack_complex_float*a , lapack_intlda , lapack_int*iseed );

lapack_intLAPACKE_zlagge ( intmatrix_layout , lapack_intm , lapack_intn , lapack_intkl , lapack_intku , constdouble*d , lapack_complex_double*a , lapack_intlda , lapack_int*iseed );

Include Files

mkl.h

Description

slagge dlagge clagge zlagge

The routine generates a general m -by- n matrix A , by pre- and post- multiplying a real diagonal matrix D with random matrices U and V :

A := U*D*V ,

where U and V are orthogonal for real flavors and unitary for complex flavors. The lower and upper bandwidths may then be reduced to kl and ku by additional orthogonal transformations.

Input Parameters

A <datatype> placeholder, if present, is used for the C interface data types in the C interface section above. See C Interface Conventions for the C interface principal conventions and type definitions.

m

The number of rows of the matrix A ( m≥ 0 ).

n

The number of columns of the matrix A ( n≥ 0 ).

kl

The number of nonzero subdiagonals within the band of A ( 0 ≤kl≤m-1) .

ku

The number of nonzero superdiagonals within the band of A ( 0 ≤ku≤n-1) .

d: REAL for slagge , clagge DOUBLE PRECISION for dlagge , zlagge . The array d with the dimension of ( min(m, n) ) contains the diagonal elements of the diagonal matrix D .

lda

The leading dimension of the array a ( lda≥m ) for column major layout and ( lda≥n ) for row major layout .

iseed

The array iseed with the dimension of 4 contains the seed of the random number generator. The elements must be between 0 and 4095 and iseed(4) must be odd.

work: REAL for slagge DOUBLE PRECISION for dlagge COMPLEX for clagge DOUBLE COMPLEX for zlagge . Work array of size ( m + n

Output Parameters

a

REAL for slagge DOUBLE PRECISION for dlagge COMPLEX for clagge DOUBLE COMPLEX for zlagge .

The array a with size at least max(1, lda * n ) for column major layout and max(1, lda * m ) for row major layout contains the generated m -by- n matrix A .

iseed

The array iseed contains the updated seed on exit.

Return Values

This function returns a value info .

If info = 0 , the execution is successful.
If info < 0 , the i -th parameter had an illegal value.
If info = -1011 , memory allocation error occurred.

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Developer Reference for Intel® oneAPI Math Kernel Library for C

?lagge

Syntax

Include Files

Description

Input Parameters

Output Parameters

Return Values