CLA_GERPVGRW(3)

📦 version 3.12.0, in opensuse-leap 16.0

🌸 NAME 🌸

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

Hey bestie 💖 welcome to the Library Functions Manual page for this file. It’s giving very “full build path realness,” and yes, that whole path is the name up top.

✨ SYNOPSIS ✨

Functions/Subroutines

  • real function CLA_GERPVGRW (n, ncols, a, lda, af, ldaf) — the synopsis line, no cap. The one-liner says CLA_GERPVGRW multiplies a square real matrix by a complex matrix. That’s literally what it says, bestie 🫶

💅 Function/Subroutine Documentation 💅

The full signature is exactly this:

real function CLA_GERPVGRW (integer n, integer ncols, complex, dimension(
       lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf)

And the description line is exactly:

CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

🎯 Purpose

Okay so CLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). For the norm part, the docs literally say The norm is used. — that’s the wording, periodt.

If this is much less than 1, the stability of the LU factorization of the (equilibrated) matrix A could be poor. That also means the solution X, estimated condition numbers, and error bounds could be unreliable. So yeah, if it’s tiny, side-eye the numbers 😭

🧾 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 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 array, dimension (LDAF,N).

The factors L and U from the factorization A = P*L*U as computed by CGETRF.

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.

Definition at line 97 of file cla_gerpvgrw.f.

👑 Author

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