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

📦 version 3.12.0, in opensuse-leap 16.0

okay bestie, welcome to the glow-up of the slagsy.f page from the Library Functions Manual — page path /home/abui...N/slagsy.f(3). this is LAPACK business and it’s lowkey iconic. 💅✨

🌸 NAME 🌸

this page is literally the manual entry for: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/MATGEN/slagsy.f

✨ SYNOPSIS ✨

here’s the Functions/Subroutines vibe check:

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

💖 Function/Subroutine Documentation 💖

the full signature is giving main character energy:

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

🦋 Purpose 🦋

bestie, SLAGSY generates a real symmetric matrix A, by pre- and post-multiplying a real diagonal matrix D with a random orthogonal matrix: A = U*D*U'. the semi-bandwidth may then be reduced to k by additional orthogonal transformations. no cap, that’s the whole purpose. ✨

💅 Parameters 💅

  • N — N is INTEGER; the order of the matrix A. N >= 0.
  • K — K is INTEGER; the number of nonzero subdiagonals within the band of A. 0 <= K <= N-1.
  • D — D is REAL array, dimension (N); the diagonal elements of the diagonal matrix D.
  • A — A is REAL array, dimension (LDA,N); the generated n by n symmetric matrix A (the full matrix is stored).
  • LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= N.
  • 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 REAL 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 100 of file slagsy.f.

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

sign-off: this page is LAPACK, Version 3.12.0, and the source/page path is /home/abui...N/slagsy.f(3) — there’s no date printed in the footer, so I’m not inventing one, bestie. 💖✨🫶

📦 where this page comes from