CLAQHP(3)

🎀 CLAQHP(3) 🎀

okay bestie, welcome to CLAQHP(3), and yes — this is the Library Functions Manual page. Buckle up, we're doing Hermitian matrix scaling and it's honestly kind of iconic. 💅✨

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🌸 NAME 🌸

• /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/claqhp.f — the exact file path, no cap.

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine CLAQHP (uplo, n, ap, s, scond, amax, equed)

CLAQHP scales a Hermitian matrix stored in packed form. periodt. 💖

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💖 Function/Subroutine Documentation 💖

subroutine CLAQHP (character uplo, integer n, complex, dimension( * ) ap,
     real, dimension( * ) s, real scond, real amax, character equed)

CLAQHP scales a Hermitian matrix stored in packed form. bestie, that's the whole vibe. 🫶

🌈 Purpose 🌈

The purpose is literally this: CLAQHP equilibrates a Hermitian matrix A using the scaling factors in the vector S. 💫

🌸 Parameters 🌸

• UPLO — UPLO is CHARACTER*1. It 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.
• AP — AP is COMPLEX array, dimension (N*(N+1)/2).
  • On entry, it's the upper or lower triangle of the Hermitian matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:
    • if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
    • if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.
  • On exit, it's the equilibrated matrix: diag(S) * A * diag(S), in the same storage format as A. slay. ✨
• 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  • = 'Y': Equilibration was done, i.e., A has been replaced by diag(S) * A * diag(S).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 — 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 — 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 125 of file claqhp.f.

👑 Author (the Doxygen autogen one) 👑

Generated automatically by Doxygen for LAPACK from the source code.

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k bye bestie 💖 this is LAPACK Version 3.12.0, footer file /home/abui...RC/claqhp.f(3) — slay and stay hydrated 🫶✨