ZLA_GERPVGRW(3)

💅 ZLA_GERPVGRW(3) — Library Functions Manual energy ✨

okay so bestie, welcome to the Library Functions Manual page for ZLA_GERPVGRW(3). The header path is /home/abui..._gerpvgrw.f(3) — yes, that's the actual header tea 🫖. This page is about a double precision function that says it “multiplies a square real matrix by a complex matrix,” and it also computes a reciprocal pivot growth factor. Both things are literally in here, don't come for me, I'm just reading the page 💖.

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📛 NAME 📛

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

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🌈 SYNOPSIS 🌈

✨ Functions/Subroutines ✨

double precision function ZLA_GERPVGRW (n, ncols, a, lda, af, ldaf)
    ZLA_GERPVGRW multiplies a square real matrix by a complex matrix.

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💖 Function/Subroutine Documentation 💖

double precision function ZLA_GERPVGRW (integer n, integer ncols,
    complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
    ldaf, * ) af, integer ldaf)
    ZLA_GERPVGRW multiplies a square real matrix by a complex matrix.

🎯 Purpose 🎯

okay so the Purpose block is giving reciprocal pivot growth factor realness:

ZLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The norm is used. If this is much less than 1, the stability of the LU factorization of the (equilibrated) matrix A could be poor. This also means that the solution X, estimated condition numbers, and error bounds could be unreliable.

Translation for the group chat: if that thing is much less than 1, the LU factorization stability could be poor, and the solution X, estimated condition numbers, and error bounds could be unreliable. That's the tea, and it's lowkey important 😭.

🧸 Parameters 🧸

• N — N is INTEGER; the number of linear equations, i.e., the order of the matrix A. N >= 0. 💫
• NCOLS — NCOLS is INTEGER; the number of columns of the matrix A. NCOLS >= 0. 🌸
• A — A is COMPLEX*16 array, dimension (LDA,N); on entry, the N-by-N matrix A. 🦋
• LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= max(1,N). ✨
• AF — AF is COMPLEX*16 array, dimension (LDAF,N); the factors L and U from the factorization A = P*L*U as computed by ZGETRF. 👑
• LDAF — LDAF is INTEGER; the leading dimension of the array AF. LDAF >= max(1,N). 💜

👑 Author 👑

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

The page drops this exact line: Definition at line 98 of file zla_gerpvgrw.f. 📍

👑 Author 👑 (Doxygen's version 🌸)

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, cute sign-off time: the footer source/version is LAPACK, Version 3.12.0, and the footer path is /home/abui..._gerpvgrw.f(3). The footer does not show a date, so there's no date to give you. That's the whole footer tea. Stay iconic and may your norm(A)/norm(U) never be much less than 1. 💅✨ periodt.