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zlagge.f File Reference

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Functions/Subroutines

subroutine zlagge (M, N, KL, KU, D, A, LDA, ISEED, WORK, INFO)
 ZLAGGE More...
 

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
[in]M
          M is INTEGER
          The number of rows of the matrix A.  M >= 0.
[in]N
          N is INTEGER
          The number of columns of the matrix A.  N >= 0.
[in]KL
          KL is INTEGER
          The number of nonzero subdiagonals within the band of A.
          0 <= KL <= M-1.
[in]KU
          KU is INTEGER
          The number of nonzero superdiagonals within the band of A.
          0 <= KU <= N-1.
[in]D
          D is DOUBLE PRECISION array, dimension (min(M,N))
          The diagonal elements of the diagonal matrix D.
[out]A
          A is COMPLEX*16 array, dimension (LDA,N)
          The generated m by n matrix A.
[in]LDA
          LDA is INTEGER
          The leading dimension of the array A.  LDA >= M.
[in,out]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.
[out]WORK
          WORK is COMPLEX*16 array, dimension (M+N)
[out]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.
Date
November 2011

Definition at line 115 of file zlagge.f.

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