CLAQHE(3)

💅 CLAQHE(3) — the Hermitian glow-up subroutine ✨

okay so bestie, this is claqhe(3) from the Library Functions Manual, and the header/footer vibe points at /home/abui...RC/claqhe.f(3). It is a Fortran situation, and it scales a Hermitian matrix. No cap, that is the whole main-character energy. 💖

🏷️ NAME

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/claqhe.f

📜 SYNOPSIS

🧩 Functions/Subroutines

• subroutine CLAQHE (uplo, n, a, lda, s, scond, amax, equed) — CLAQHE scales a Hermitian matrix.

📚 Function/Subroutine Documentation

subroutine CLAQHE (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, real, dimension( * ) s, real scond, real amax, character equed)

CLAQHE scales a Hermitian matrix.

🎯 Purpose

CLAQHE equilibrates a Hermitian matrix A using the scaling factors in the vector S. That is the purpose, periodt. ✨

🌸 Parameters

Here is the whole cast, no skips:

• UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian matrix A is stored.
  • 'U': Upper triangular.
  • 'L': Lower triangular.
• N — N is INTEGER. The order of the matrix A. N >= 0.
• A — A is COMPLEX array, dimension (LDA,N). On entry, the Hermitian matrix A. If UPLO = 'U', the leading n by n upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.

On exit, if EQUED = 'Y', the equilibrated matrix: diag(S) * A * diag(S).

• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(N,1).
• S — S is REAL array, dimension (N). The scale factors for A.
• SCOND — SCOND is REAL. Ratio of the smallest S(i) to the largest S(i).
• AMAX — AMAX is REAL. Absolute value of largest matrix entry.
• EQUED — EQUED is CHARACTER*1. Specifies whether or not equilibration was done.
  • 'N': No equilibration.
  • 'Y': Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).

🕵️♀️ Internal Parameters

• THRESH is a threshold value used to decide if scaling should be done based on the ratio of the scaling factors. If SCOND < THRESH, scaling is done.
• LARGE and SMALL are threshold values used to decide if scaling should be done based on the absolute size of the largest matrix element. If AMAX > LARGE or AMAX < SMALL, scaling is done.

👑 Author

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

Definition at line 133 of file claqhe.f.

🤖 Author

Generated automatically by Doxygen for LAPACK from the source code.

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Source/version sign-off, bestie: LAPACK Version 3.12.0, from /home/abui...RC/claqhe.f(3). The footer did not hand us a real date, so we are not inventing one — no cap, periodt. 💖✨