TESTING/MATGEN/slagge.f(3)

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💖 TESTING/MATGEN/slagge.f(3) — LAPACK Library Functions Manual 💖

okay bestie, welcome to the slagge page. This is the LAPACK Library Functions Manual, and the manual name is TESTING/MATGEN/slagge.f(3) — yes, that exact path, no cap. It's giving testing/matgen energy, and we're obsessed. 🫶

✨ NAME ✨

TESTING/MATGEN/slagge.f — that's the name of this page, and it's literally the file we're talking about. Slay. 💅

🌈 SYNOPSIS 🌈

🎀 Functions/Subroutines 🎀

  • subroutine slagge (m, n, kl, ku, d, a, lda, iseed, work, info) — SLAGGE

🦋 Function/Subroutine Documentation 🦋

subroutine slagge (integer m, integer n, integer kl, integer ku, real,
     dimension( * ) d, real, dimension( lda, * ) a, integer lda, integer,
     dimension( 4 ) iseed, real, dimension( * ) work, integer info)

SLAGGE

🌸 Purpose 🌸

SLAGGE generates a real general m by n matrix A, by pre- and post-multiplying a real diagonal matrix D with random orthogonal matrices:

A = U*D*V

The lower and upper bandwidths may then be reduced to kl and ku by additional orthogonal transformations. That's the whole plot, and it ate. ✨

🎀 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 REAL array, dimension (min(M,N)). The diagonal elements of the diagonal matrix D.
  • A — A is REAL 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 REAL 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 112 of file slagge.f.

🧚 Author 🧚

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