TESTING/MATGEN/clakf2.f(3)

💅 NAME 💅

okay so bestie, welcome to the TESTING/MATGEN/clakf2.f(3) page from the LAPACK Library Functions Manual ✨. The file in the NAME section is TESTING/MATGEN/clakf2.f, and it’s the home of clakf2 — lowkey giving “let me build you a big Kronecker matrix” main character energy 💖.

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

• subroutine clakf2 (m, n, a, lda, b, d, e, z, ldz) — CLAKF2

🌈 Function/Subroutine Documentation 🌈

here’s the full signature, character-for-character, no cap:

   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 the name, and yes it’s iconic 💅.

🎀 Purpose 🎀

okay so this subroutine 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. 🧚

🍓 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, 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, dimension ( LDA, N ).
• D — D is COMPLEX, dimension ( LDA, M ).
• E — E is COMPLEX, dimension ( LDA, N ). The matrices used in forming the output matrix Z.
• Z — Z is COMPLEX, 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 clakf2.f.

🤖 Author 🤖

Generated automatically by Doxygen for LAPACK from the source code.

---

okay that’s the whole page, bestie — sign-off from LAPACK Version 3.12.0, source page TESTING/MATGEN/clakf2.f(3), and the footer doesn’t print a date so I’m not gonna invent one 💖✨💅 periodt.