/home/abui...N/zlagsy.f(3)

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✨ NAME ✨

okay so bestie, welcome to zlagsy.f(3) from the Library Functions Manual 💖. This page is literally about this file path: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/MATGEN/zlagsy.f.

💅 SYNOPSIS 💅

Functions/Subroutines

subroutine ZLAGSY (n, k, d, a, lda, iseed, work, info)

ZLAGSY

🫶 Function/Subroutine Documentation 🫶

subroutine ZLAGSY (integer n, integer k, double precision, dimension( * ) d,
    complex*16, dimension( lda, * ) a, integer lda, integer, dimension( 4 )
    iseed, complex*16, dimension( * ) work, integer info)

ZLAGSY

🎀 Purpose 🎀

ZLAGSY generates a complex symmetric matrix A, by pre- and post-multiplying a real diagonal matrix D with a random unitary matrix: A = U*D*U**T. The semi-bandwidth may then be reduced to k by additional unitary transformations. periodt 💅

🦋 Parameters 🦋

N

N is INTEGER — the order of the matrix A. Constraint: N >= 0.

K

K is INTEGER — the number of nonzero subdiagonals within the band of A. Constraint: 0 <= K <= N-1.

D

D is a DOUBLE PRECISION array, dimension (N). It holds the diagonal elements of the diagonal matrix D.

A

A is a COMPLEX*16 array, dimension (LDA,N). It's the generated n by n symmetric matrix A — and yes, the full matrix is stored. iconic ✨

LDA

LDA is INTEGER — the leading dimension of the array A. Constraint: LDA >= N.

ISEED

ISEED is an INTEGER array, dimension (4). On entry, it's 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. no cap 🎲

WORK

WORK is a COMPLEX*16 array, dimension (2*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 101 of file zlagsy.f.

🌈 Author 🌈

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