?laghe

Generates a complex Hermitian matrix .

Syntax

lapack_int LAPACKE_claghe (int matrix_layout , lapack_int n , lapack_int k , const float * d , lapack_complex_float * a , lapack_int lda , lapack_int * iseed );

lapack_int LAPACKE_zlaghe (int matrix_layout , lapack_int n , lapack_int k , const double * d , lapack_complex_double * a , lapack_int lda , lapack_int * iseed );

Include Files

  • mkl.h

Description

The routine generates a complex Hermitian matrix A, by pre- and post- multiplying a real diagonal matrix D with random unitary matrix:

A := U*D*UH

The semi-bandwidth may then be reduced to k by additional unitary 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.

matrix_layout

Specifies whether matrix storage layout is row major (LAPACK_ROW_MAJOR) or column major ( LAPACK_COL_MAJOR ).

n

The order of the matrix A (n 0).

k

The number of nonzero subdiagonals within the band of A (0 kn-1).

d

The array d with the dimension of (n) contains the diagonal elements of the diagonal matrix D.

lda

The leading dimension of the array a (ldan).

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[3] must be odd.

Output Parameters

a

The array a of size at least max (1,lda*n) contains the generated n-by-n Hermitian matrix D.

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.

For more complete information about compiler optimizations, see our Optimization Notice.
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