/home/abui...N/clakf2.f(3)

💅 /home/abui...N/clakf2.f(3) — Library Functions Manual 💅

okay so bestie, welcome to the glow-up corner of your terminal 🫶 this is a Library Functions Manual page, and the file living its best life at the center of it all is:

/home/abuild/rpmbuild/BUILD/lapack-
static-3.12.0-build/lapack-3.12.0/TESTING/MATGEN/clakf2.f

yes the path is that long, no we are not shortening it, it's iconic and we respect it ✨

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🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/MATGEN/clakf2.f

like, that's the name. that's the whole name. she's long, she's hyphenated, she contains multitudes 💀

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🎀 SYNOPSIS 🎀

Functions/Subroutines

• subroutine CLAKF2 (m, n, a, lda, b, d, e, z, ldz) — CLAKF2

subroutine CLAKF2 (m, n, a, lda, b, d, e, z, ldz)
   CLAKF2

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🦋 Function/Subroutine Documentation 🦋

subroutine CLAKF2 (integer m, integer n, complex, dimension( lda, * ) a,
    integer lda, complex, dimension( lda, * ) b, complex, dimension( lda, *
    ) d, complex, dimension( lda, * ) e, complex, dimension( ldz, * ) z,
    integer ldz)

CLAKF2 — that's her. that's the subroutine. say hi 👋

⭐ Purpose:

!>
!> Form 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.
!>

so basically she forms this big 2*M*N by 2*M*N matrix, lowkey a whole block structure moment, and it's giving Kronecker realness 👑

🌈 Parameters

• M

!>          M is INTEGER
!>          Size of matrix, must be >= 1.
!>

size of the matrix, and she has to be at least 1. periodt. M >= 1 or go home.

• N

!>          N is INTEGER
!>          Size of matrix, must be >= 1.
!>

also a size of matrix, also >= 1. twins 🫶

• A

!>          A is COMPLEX, dimension ( LDA, M )
!>          The matrix A in the output matrix Z.
!>

a COMPLEX matrix of dimension ( LDA, M ), and she's literally the matrix A in the output matrix Z. main character energy tbh.

• LDA

!>          LDA is INTEGER
!>          The leading dimension of A, B, D, and E. ( LDA >= M+N )
!>

an INTEGER, the leading dimension of A, B, D, and E. and the vibe check is LDA >= M+N ✨

• B

!>          B is COMPLEX, dimension ( LDA, N )
!>

COMPLEX, dimension ( LDA, N ). that's it, that's her.

• D

!>          D is COMPLEX, dimension ( LDA, M )
!>

COMPLEX, dimension ( LDA, M ). slay.

• E

!>          E is COMPLEX, dimension ( LDA, N )
!>
!>          The matrices used in forming the output matrix Z.
!>

COMPLEX, dimension ( LDA, N ) — and B, D, E are the matrices used in forming the output matrix Z. they're the supporting cast but honestly they ate 💅

• Z

!>          Z is COMPLEX, dimension ( LDZ, 2*M*N )
!>          The resultant Kronecker M*N*2 by M*N*2 matrix (see above.)
!>

COMPLEX, dimension ( LDZ, 2*M*N ), and she's the resultant Kronecker M*N*2 by M*N*2 matrix (see above 👀). the moment. the payoff.

• LDZ

!>          LDZ is INTEGER
!>          The leading dimension of Z. ( LDZ >= 2*M*N )
!>

an INTEGER, the leading dimension of Z. guardrail: LDZ >= 2*M*N, no cap 🔥

👑 Author

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

the whole squad came together for this one, we love a collab 🌈

Definition at line 104 of file clakf2.f.

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💜 Author

Generated automatically by Doxygen for LAPACK from the source code.

like, a robot wrote this section but we're still gonna hype it up, that's just manners 🎀

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ngl bestie, if you're passing dimensions around, double-check those LDA >= M+N and LDZ >= 2*M*N constraints before you send it — the docs said it, not me 🙈

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LAPACK · Version 3.12.0 · /home/abui...N/clakf2.f(3) — and that's the whole page, mwah, bye bestie 💖✨🦋