zlagge.f - Man Page

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

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.