TESTING/MATGEN/slakf2.f(3)

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version 3.12.1 · 2 versions
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💖 TESTING/MATGEN/slakf2.f(3)

okay so bestie, this page comes from the LAPACK Library Functions Manual, and it's all about the slakf2 subroutine. It's giving “build a big matrix from Kronecker products” energy, and honestly? Kinda iconic. 💅

🌸 NAME

TESTING/MATGEN/slakf2.f — that's the file, and the main character is slakf2.

✨ SYNOPSIS

🎀 Functions/Subroutines

subroutine slakf2 (m, n, a, lda, b, d, e, z, ldz)
    SLAKF2

💅 FUNCTION/SUBROUTINE DOCUMENTATION

subroutine slakf2 (integer m, integer n, real, dimension( lda, * ) a,
    integer lda, real, dimension( lda, * ) b, real, dimension( lda, * ) d,
    real, dimension( lda, * ) e, real, dimension( ldz, * ) z, integer ldz)

SLAKF2 — that's the name, no cap. 🫶

🎀 Purpose

Okay so this one forms the 2*M*N by 2*M*N matrix Z:

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. And kron(X, Y) is the Kronecker product between the matrices X and Y. Math bestie behavior. ✨

🍓 Parameters

  • M — M is INTEGER. Size of matrix, must be >= 1.
  • N — N is INTEGER. Size of matrix, must be >= 1.
  • A — A is REAL, 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 REAL, dimension ( LDA, N ).
  • D — D is REAL, dimension ( LDA, M ).
  • E — E is REAL, dimension ( LDA, N ). The matrices used in forming the output matrix Z.
  • Z — Z is REAL, 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 slakf2.f.

🧚 AUTHOR

Generated automatically by Doxygen for LAPACK from the source code.

okay bestie, that's the whole page 💖 — from the LAPACK footer, Version 3.12.0, page TESTING/MATGEN/slakf2.f(3). The footer doesn't show a separate date, so I'm not gonna make one up — no cap, that's the info as given. 🫶💅

📦 where this page comes from