TESTING/MATGEN/zlagsy.f(3)

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version 3.12.1 · 2 versions
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💖 NAME 💖

TESTING/MATGEN/zlagsy.f

okay so bestie, welcome to the page for TESTING/MATGEN/zlagsy.f(3) — it's giving Library Functions Manual energy, and it's all about the zlagsy subroutine. 💅✨

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

subroutine zlagsy (n, k, d, a, lda, iseed, work, info)
    ZLAGSY

💅 Function/Subroutine Documentation 💅

subroutine zlagsy (integer n, integer k, double precision, dimension( * ) d,
    complex*16, dimension( lda, * ) a, integer lda, integer, dimension( 4 )
    iseed, complex*16, dimension( * ) work, integer info)
    ZLAGSY

✨ Purpose: ✨

okay so what's the tea? ZLAGSY generates a complex symmetric matrix A by pre- and post-multiplying a real diagonal matrix D with a random unitary matrix: A = U*D*U**T. The way that the semi-bandwidth gets reduced? It may then be reduced to k by additional unitary transformations. That's the whole serve, fr fr. 🫶

🎀 Parameters 🎀

🌟 N

N is INTEGER. The order of the matrix A. N >= 0. 💖

🌟 K

K is INTEGER. The number of nonzero subdiagonals within the band of A. 0 <= K <= N-1. ✨

🌟 D

D is DOUBLE PRECISION array, dimension (N). The diagonal elements of the diagonal matrix D. 🎀

🌟 A

A is COMPLEX*16 array, dimension (LDA,N). The generated n by n symmetric matrix A (the full matrix is stored). 👑

🌟 LDA

LDA is INTEGER. The leading dimension of the array A. LDA >= N. 💅

🌟 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 COMPLEX*16 array, dimension (2*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 101 of file zlagsy.f.

🌸 Author 🌸

Generated automatically by Doxygen for LAPACK from the source code. 🫶

okay bestie, that's the whole page — LAPACK Version 3.12.0, TESTING/MATGEN/zlagsy.f(3), periodt. 💅✨

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