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

📦 version 3.12.0, in opensuse-leap 16.0

Hey bestie! Welcome to dlagge.f(3) from the Library Functions Manual 💖. This is the DLAGGE subroutine, and yes, it’s giving matrix-generator main character energy.

✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/MATGEN/dlagge.f

🦋 SYNOPSIS 🦋

Functions/Subroutines

subroutine DLAGGE (m, n, kl, ku, d, a, lda, iseed, work, info)
    DLAGGE

🌸 Function/Subroutine Documentation 🌸

subroutine DLAGGE (integer m, integer n, integer kl, integer ku, double precision, dimension( * ) d, double precision, dimension( lda, * ) a, integer lda, integer, dimension( 4 ) iseed, double precision, dimension( * ) work, integer info)
    DLAGGE

💜 Purpose 💜

Okay so here’s the tea: DLAGGE 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. Iconic behavior, honestly.

🎀 Parameters 🎀

  • M — M is INTEGER. The number of rows of the matrix A. Constraint: M >= 0.
  • N — N is INTEGER. The number of columns of the matrix A. Constraint: N >= 0.
  • KL — KL is INTEGER. The number of nonzero subdiagonals within the band of A. Constraint: 0 <= KL <= M-1.
  • KU — KU is INTEGER. The number of nonzero superdiagonals within the band of A. Constraint: 0 <= KU <= N-1.
  • D — D is DOUBLE PRECISION array, dimension (min(M,N)). The diagonal elements of the diagonal matrix D.
  • A — A is DOUBLE PRECISION array, dimension (LDA,N). The generated m by n matrix A.
  • LDA — LDA is INTEGER. The leading dimension of the array A. Constraint: 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 DOUBLE PRECISION 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 dlagge.f.

🖋️ Author 🖋️

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