TESTING/LIN/dget03.f(3)

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version 3.12.1 · 3 versions
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💖 TESTING/LIN/dget03.f(3) 💖

okay bestie, you're looking at the Library Functions Manual page for TESTING/LIN/dget03.f(3) — manual name is right here in the intro, not copied as a header line, periodt. This page is all about the DGET03 subroutine, and it's giving linear-algebra residual main character energy. 💅

✨ NAME ✨

TESTING/LIN/dget03.f — that's the name, bestie. Iconic file path, no notes. 🎀

🦋 SYNOPSIS 🦋

Functions/Subroutines

subroutine dget03 (n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond,
    resid)
    DGET03

💅 Function/Subroutine Documentation 💅

okay so here's the full signature, character-for-character, no cap — DGET03 is lowkey the main character:

subroutine dget03 (integer n, double precision, dimension( lda, * ) a,
    integer lda, double precision, dimension( ldainv, * ) ainv, integer
    ldainv, double precision, dimension( ldwork, * ) work, integer ldwork,
    double precision, dimension( * ) rwork, double precision rcond, double
    precision resid)

DGET03

🎀 Purpose 🎀

DGET03 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. Literally that's the whole purpose, and it ate. ✨ iykyk.

🌸 Parameters 🌸

every single parameter, bestie — no skips, no “I'll come back to it later,” fr fr:

  • N — N is INTEGER. The number of rows and columns of the matrix A. N >= 0.
  • A — A is DOUBLE PRECISION 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 107 of file dget03.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

💖 okay that's the whole page, bestie! Cute sign-off time: source/version/date situation is LAPACK, Version 3.12.0, and TESTING/LIN/dget03.f(3) — and since the original footer doesn't give a separate date, I'm not inventing one. Slay. 🎀✨

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