TESTING/LIN/clatsy.f(3)

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version 3.12.1 · 3 versions
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💅 TESTING/LIN/clatsy.f(3) 💅

Okay so this is the TESTING/LIN/clatsy.f(3) page from the Library Functions Manual, and it’s all about CLATSY — a subroutine with main-character energy for generating a special test matrix. Bestie, we’re in LAPACK testing territory, and it’s lowkey iconic. 🎀

✨ SYNOPSIS ✨

  • Functions/Subroutines
    • subroutine clatsy (uplo, n, x, ldx, iseed) — the callable in question, aka CLATSY.

🦋 Function/Subroutine Documentation 🦋

subroutine clatsy (character uplo, integer n, complex, dimension( ldx, * )
x, integer ldx, integer, dimension( * ) iseed)

CLATSY

🌸 Purpose 🌸

CLATSY generates a special test matrix for the complex symmetric (indefinite) factorization. The pivot blocks of the generated matrix will be in the following order: 1. 2x2 pivot block, non diagonalizable 2. 1x1 pivot block 3. 2x2 pivot block, diagonalizable 4. (cycle repeats) A row interchange is required for each non-diagonalizable 2x2 block.

No cap, that pivot sequence is the whole vibe. 💅

🎀 Parameters 🎀

  • UPLO — UPLO is CHARACTER. Specifies whether the generated matrix is to be upper or lower triangular. = 'U': Upper triangular; = 'L': Lower triangular.
  • N — N is INTEGER. The dimension of the matrix to be generated.
  • X — X is COMPLEX array, dimension (LDX,N). The generated matrix, consisting of 3x3 and 2x2 diagonal blocks which result in the pivot sequence given above. The matrix outside of these diagonal blocks is zero.
  • LDX — LDX is INTEGER. The leading dimension of the array X.
  • ISEED — ISEED is INTEGER array, dimension (4). On entry, the seed for the random number generator. The last of the four integers must be odd. (modified on exit)

👑 Author 👑

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 88 of file clatsy.f.

⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code.

Footer recap, bestie: this one signs off with LAPACK, Version 3.12.0, and TESTING/LIN/clatsy.f(3) — that’s the source/version/path situation. No date was listed in the footer, so we’re not inventing one, periodt. 🫶💖

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