TESTING/LIN/clatsp.f(3)

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version 3.12.1 · 2 versions
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💅 TESTING/LIN/clatsp.f — Library Functions Manual

✨ NAME ✨

TESTING/LIN/clatsp.f — bestie, this is the page for the clatsp subroutine, and yes it's giving “test-matrix generator that knows exactly what it's doing” energy.

🌸 SYNOPSIS 🌸

🎀 Functions/Subroutines 🎀

       subroutine clatsp (uplo, n, x, iseed)
           CLATSP

🦋 Function/Subroutine Documentation 🦋

       subroutine clatsp (character uplo, integer n, complex, dimension( * ) x,
       integer, dimension( * ) iseed)
           CLATSP

🎀 Purpose 🎀

Okay so CLATSP generates a special test matrix for the complex symmetric (indefinite) factorization for packed matrices. The pivot blocks of the generated matrix will be in the following order:

  • 2x2 pivot block, non diagonalizable
  • 1x1 pivot block
  • 2x2 pivot block, diagonalizable
  • (cycle repeats)

A row interchange is required for each non-diagonalizable 2x2 block. That's not a vibe, that's a requirement, bestie.

🌈 Parameters 🌈

  • UPLO — UPLO is CHARACTER. It 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. Slay, simple.
  • X — X is COMPLEX array, dimension (N*(N+1)/2). This is the generated matrix in packed storage format. The matrix consists of 3x3 and 2x2 diagonal blocks which result in the pivot sequence given above. The matrix outside these diagonal blocks is zero. Zero meaning empty, not “we forgot to fill it in”, iykyk.
  • 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) Keep that oddness in mind, no cap.

👑 Author 👑

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

Definition at line 83 of file clatsp.f.

🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

LAPACK Version 3.12.0 • TESTING/LIN/clatsp.f(3) • footer date? Not here, so no invented date — just source/version and bestie sign-off energy 🫶✨

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