TESTING/LIN/zlatsy.f(3)

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version 3.12.1 · 2 versions
, in arch rolling

💖 NAME 💖

TESTING/LIN/zlatsy.f(3) — okay bestie, this is the Library Functions Manual page for zlatsy, and she is lowkey iconic. No cap, every detail is staying. 💅

✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine zlatsy (uplo, n, x, ldx, iseed) — ZLATSY

🧚 FUNCTION/SUBROUTINE DOCUMENTATION 🧚

subroutine zlatsy (character uplo, integer n, complex*16, dimension( ldx, * ) x, integer ldx, integer, dimension( * ) iseed)
    ZLATSY

🌸 PURPOSE 🌸

Bestie, ZLATSY generates a special test matrix for the complex symmetric (indefinite) factorization. The pivot blocks of the generated matrix will be in this exact 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. Periodt.

🎀 PARAMETERS 🎀

  • UPLO — is CHARACTER. Specifies whether the generated matrix is to be upper or lower triangular. = 'U': Upper triangular = 'L': Lower triangular
  • N — is INTEGER. The dimension of the matrix to be generated.
  • X — is COMPLEX*16 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 — is INTEGER. The leading dimension of the array X.
  • 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 zlatsy.f. 📌

Definition at line 88 of file zlatsy.f.

🤖 AUTHOR 🤖

Generated automatically by Doxygen for LAPACK from the source code.

cute sign-off: the footer says LAPACK, Version 3.12.0, and TESTING/LIN/zlatsy.f(3) — that’s the source/version vibe, bestie. The footer line doesn’t show an extra date, so we’re not inventing one. 🫶💖

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