TESTING/MATGEN/zlakf2.f(3)

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version 3.12.1 · 2 versions
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🎀 TESTING/MATGEN/zlakf2.f(3) 🎀

okay so welcome to the Library Functions Manual, bestie — today's entry is TESTING/MATGEN/zlakf2.f, and it's giving "Fortran routine that builds a big matrix" main character energy 💅✨

💖 NAME 💖

TESTING/MATGEN/zlakf2.f — that's the name, no cap 🫶

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine zlakf2 (m, n, a, lda, b, d, e, z, ldz)
    ZLAKF2

🦋 Function/Subroutine Documentation 🦋

🧚 subroutine zlakf2 🧚

subroutine zlakf2 (integer m, integer n, complex*16, dimension( lda, * ) a,
     integer lda, complex*16, dimension( lda, * ) b, complex*16, dimension(
     lda, * ) d, complex*16, dimension( lda, * ) e, complex*16, dimension(
     ldz, * ) z, integer ldz)

ZLAKF2 — yes bestie, it's literally the same name again, the source said so and we respect the source 💖

Purpose

This one forms the 2*M*N by 2*M*N matrix:

Z = [ kron(In, A)  -kron(B', Im) ]
    [ kron(In, D)  -kron(E', Im) ],

where In is the identity matrix of size n and X' is the transpose of X. kron(X, Y) is the Kronecker product between the matrices X and Y. Slay linear algebra, honestly 🧚✨

Parameters

  • M — M is INTEGER. Size of matrix, must be >= 1.
  • N — N is INTEGER. Size of matrix, must be >= 1.
  • A — A is COMPLEX*16, dimension ( LDA, M ). The matrix A in the output matrix Z.
  • LDA — LDA is INTEGER. The leading dimension of A, B, D, and E. (LDA >= M+N)
  • B — B is COMPLEX*16, dimension ( LDA, N ).
  • D — D is COMPLEX*16, dimension ( LDA, M ).
  • E — E is COMPLEX*16, dimension ( LDA, N ). The matrices used in forming the output matrix Z.
  • Z — Z is COMPLEX*16, dimension ( LDZ, 2*M*N ). The resultant Kronecker M*N*2 by M*N*2 matrix (see above.)
  • LDZ — LDZ is INTEGER. The leading dimension of Z. (LDZ >= 2*M*N)

Author

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

Definition at line 104 of file zlakf2.f.

🌟 Author 🌟

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okay bye bestie 💖 this footer energy is LAPACK Version 3.12.0, source TESTING/MATGEN/zlakf2.f(3) — and there's no date listed on the page, so that's the whole sign-off, periodt ✨🫶

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