# zlagge.f - Man Page

TESTING/MATGEN/zlagge.f

## Synopsis

### Functions/Subroutines

subroutine **zlagge** (m, n, kl, ku, d, a, lda, iseed, work, info)**ZLAGGE**

## Function/Subroutine Documentation

### subroutine zlagge (integer m, integer n, integer kl, integer ku, double precision, dimension( * ) d, complex*16, dimension( lda, * ) a, integer lda, integer, dimension( 4 ) iseed, complex*16, dimension( * ) work, integer info)

**ZLAGGE**

**Purpose:**

ZLAGGE generates a complex general m by n matrix A, by pre- and post- multiplying a real diagonal matrix D with random unitary matrices: A = U*D*V. The lower and upper bandwidths may then be reduced to kl and ku by additional unitary transformations.

**Parameters***M*M is INTEGER The number of rows of the matrix A. M >= 0.

*N*N is INTEGER The number of columns of the matrix A. N >= 0.

*KL*KL is INTEGER The number of nonzero subdiagonals within the band of A. 0 <= KL <= M-1.

*KU*KU is INTEGER The number of nonzero superdiagonals within the band of A. 0 <= KU <= N-1.

*D*D is DOUBLE PRECISION array, dimension (min(M,N)) The diagonal elements of the diagonal matrix D.

*A*A is COMPLEX*16 array, dimension (LDA,N) The generated m by n matrix A.

*LDA*LDA is INTEGER The leading dimension of the array A. LDA >= M.

*ISEED*ISEED is INTEGER array, dimension (4) On entry, the seed of the random number generator; the array elements must be between 0 and 4095, and ISEED(4) must be odd. On exit, the seed is updated.

*WORK*WORK is COMPLEX*16 array, dimension (M+N)

*INFO*INFO is INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value

**Author**Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line **113** of file **zlagge.f**.

## Author

Generated automatically by Doxygen for LAPACK from the source code.

## Referenced By

The man page zlagge(3) is an alias of zlagge.f(3).

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK