TESTING/MATGEN/clagsy.f(3)

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version 3.12.1 · 3 versions
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hey bestie!! welcome to the Library Functions Manual page for TESTING/MATGEN/clagsy.f(3) 💅✨ this one is all about a little subroutine that makes a complex symmetric matrix, and honestly? iconic.

🌸 NAME 🌸

TESTING/MATGEN/clagsy.f — that's the page, periodt 💖

✨ SYNOPSIS ✨

okay so here's the quick vibe check:

Functions/Subroutines
    subroutine clagsy (n, k, d, a, lda, iseed, work, info)
        CLAGSY

🦋 Function/Subroutine Documentation 🦋

the full signature, served fresh:

subroutine clagsy (integer n, integer k, real, dimension( * ) d, complex,
    dimension( lda, * ) a, integer lda, integer, dimension( 4 ) iseed,
    complex, dimension( * ) work, integer info)
CLAGSY

🎀 Purpose 🎀

okay so CLAGSY generates a complex symmetric matrix A by pre- and post-multiplying a real diagonal matrix D with a random unitary matrix, like this: A = U*D*U**T. then the semi-bandwidth may be reduced to k by additional unitary transformations. that's the whole glow-up ✨

🔥 Parameters 🔥

  • N — INTEGER. the order of the matrix A. N >= 0. no cap.
  • K — INTEGER. the number of nonzero subdiagonals within the band of A. 0 <= K <= N-1.
  • D — REAL array, dimension (N). the diagonal elements of the diagonal matrix D.
  • A — COMPLEX array, dimension (LDA,N). the generated n by n symmetric matrix A (the full matrix is stored).
  • LDA — INTEGER. the leading dimension of the array A. LDA >= N.
  • ISEED — 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. iykyk 🌈
  • WORK — COMPLEX array, dimension (2*N).
  • INFO — 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 📍

Definition at line 101 of file clagsy.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

and that's the tea ☕ this page is from LAPACK Version 3.12.0, and the file is TESTING/MATGEN/clagsy.f(3) — bye bestie, slay your matrix generation 💅💖

📦 where this page comes from