CLAQGE(3)

Welcome to claqge.f(3) from the Library Functions Manual, bestie 💖 — we’re in LAPACK land, and this page is lowkey serving Fortran subroutine realness. I’m obsessed. It’s all about CLAQGE, a general rectangular matrix, and the row/column scaling factors from sgeequ doing their main character thing. ✨

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🌸 NAME 🌸

The file this page is for is literally:

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

That’s the whole NAME section vibe — no cap, no extra lore. 🫶

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine CLAQGE (m, n, a, lda, r, c, rowcnd, colcnd, amax, equed)
    CLAQGE scales a general rectangular matrix, using row and column
    scaling factors computed by sgeequ.

💖 Function/Subroutine Documentation 💖

subroutine CLAQGE (integer m, integer n, complex, dimension( lda, * ) a,
integer lda, real, dimension( * ) r, real, dimension( * ) c, real
rowcnd, real colcnd, real amax, character equed)

The synopsis tea is: CLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ. 🍓

🎯 Purpose 🎯

Okay so vibe check: CLAQGE equilibrates a general M by N matrix A using the row and column scaling factors in the vectors R and C. That’s the whole plot, and it ate. 💅 periodt.

🌺 Parameters 🌺

• M — INTEGER. The number of rows of the matrix A. M >= 0. 👑
• N — INTEGER. The number of columns of the matrix A. N >= 0. 👑
• A — COMPLEX array, dimension (LDA,N). On entry, it’s the M by N matrix A. On exit, it’s the equilibrated matrix. See EQUED for the form of the equilibrated matrix. 🦋
• LDA — INTEGER. The leading dimension of the array A. LDA >= max(M,1). 🫶
• R — REAL array, dimension (M). The row scale factors for A. 🌸
• C — REAL array, dimension (N). The column scale factors for A. 🌸
• ROWCND — REAL. Ratio of the smallest R(i) to the largest R(i). ⭐
• COLCND — REAL. Ratio of the smallest C(i) to the largest C(i). ⭐
• AMAX — REAL. Absolute value of largest matrix entry. 🔥
• EQUED — CHARACTER*1. Specifies the form of equilibration that was done:
  • = 'N': No equilibration
  • = 'R': Row equilibration, i.e., A has been premultiplied by diag(R).
  • = 'C': Column equilibration, i.e., A has been postmultiplied by diag(C).
  • = 'B': Both row and column equilibration, i.e., A has been replaced by diag(R) * A * diag(C).

🔧 Internal Parameters: 🔧

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

👑 Author 👑

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

Definition at line 141 of file claqge.f. 📌

👑 Author 👑

This page was generated automatically by Doxygen for LAPACK from the source code. 🧚

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