TESTING/LIN/zlatsp.f(3)

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💅 TESTING/LIN/zlatsp.f(3) — Library Functions Manual energy ✨

okay so bestie, this is the TESTING/LIN/zlatsp.f page from the Library Functions Manual, and it is literally all about one little routine named ZLATSP. Group-chat receipts, but make them Fortran. 🫶

🌸 NAME 🌸

TESTING/LIN/zlatsp.f — the page/file, and the main-character routine is zlatsp / ZLATSP. 💖

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

subroutine zlatsp (uplo, n, x, iseed)
    ZLATSP

💖 Function/Subroutine Documentation 💖

🦋 subroutine zlatsp 🦋

subroutine zlatsp (character uplo, integer n, complex*16, dimension( * ) x,
       integer, dimension( * ) iseed)
       ZLATSP

💫 Purpose 💫

okay so here’s the tea: ZLATSP 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. 👑

🍓 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*16 array, dimension (N*(N+1)/2). 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. 🫶
  • 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 83 of file zlatsp.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

Source/version/page sign-off, bestie: LAPACK, Version 3.12.0, TESTING/LIN/zlatsp.f(3) — that’s the footer vibe, and there’s no separate date line in it. Mwah. 💋✨

📦 where this page comes from