TESTING/LIN/zget03.f(3)

🎀 TESTING/LIN/zget03.f 🎀

okay so this is the whole manual-page vibe for TESTING/LIN/zget03.f, and yes, it's from the Library Functions Manual. Let's get into it. 💅

🌸 NAME 🌸

TESTING/LIN/zget03.f — that's the name, bestie, literally the file path and nothing else. 💖

🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

This page is serving one subroutine, and its name is ZGET03. The synopsis is exactly:

subroutine zget03 (n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond,
    resid)

👑 Function/Subroutine Documentation 👑

Here's the full signature, with all the types and dimensions spelled out exactly:

subroutine zget03 (integer n, complex*16, dimension( lda, * ) a, integer
    lda, complex*16, dimension( ldainv, * ) ainv, integer ldainv,
    complex*16, dimension( ldwork, * ) work, integer ldwork, double
    precision, dimension( * ) rwork, double precision rcond, double
    precision resid)

ZGET03 — that's the label, periodt. 🫶

🎀 Purpose 🎀

ZGET03 computes the residual for a general matrix times its inverse:

norm( I - AINV*A ) / ( N * norm(A) * norm(AINV) * EPS ),

where EPS is the machine epsilon. That's the whole goal, no cap. ✨

🌸 Parameters 🌸

Every parameter, every type, every dimension, all staying exactly as written:

🔹 N

N is INTEGER — the number of rows and columns of the matrix A. N >= 0. 💖

🔹 A

A is COMPLEX*16 array, dimension (LDA,N) — the original N x N matrix A. 🦋

🔹 LDA

LDA is INTEGER — the leading dimension of the array A. LDA >= max(1,N). ✨

🔹 AINV

AINV is COMPLEX*16 array, dimension (LDAINV,N) — the inverse of the matrix A. 💅

🔹 LDAINV

LDAINV is INTEGER — the leading dimension of the array AINV. LDAINV >= max(1,N). 🌟

🔹 WORK

WORK is COMPLEX*16 array, dimension (LDWORK,N). 🎀

🔹 LDWORK

LDWORK is INTEGER — the leading dimension of the array WORK. LDWORK >= max(1,N). 🫶

🔹 RWORK

RWORK is DOUBLE PRECISION array, dimension (N). 🌈

🔹 RCOND

RCOND is DOUBLE PRECISION — the reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV). 🔥

🔹 RESID

RESID is DOUBLE PRECISION — norm(I - AINV*A) / ( N * norm(A) * norm(AINV) * EPS ). 👑

💜 Author 💜

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

Definition at line 108 of file zget03.f.

💜 Author 💜 — the generated one

Generated automatically by Doxygen for LAPACK from the source code. No cap. 🫶

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okay bestie, that's the whole page. The footer vibe is LAPACK, Version 3.12.0, and TESTING/LIN/zget03.f(3) — and there's no separate date in the original, so we're keeping it real and not inventing one. Bye! 💖✨🎀