TESTING/LIN/sget03.f(3)

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🦋 TESTING/LIN/sget03.f(3) — Library Functions Manual 🦋

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✨ NAME ✨

TESTING/LIN/sget03.f — that’s the file, bestie 🎀

🌸 SYNOPSIS 🌸

💅 Functions/Subroutines

       subroutine sget03 (n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond,
           resid)
           SGET03

💖 Function/Subroutine Documentation 💖

   subroutine sget03 (integer n, real, dimension( lda, * ) a, integer lda,
       real, dimension( ldainv, * ) ainv, integer ldainv, real, dimension(
       ldwork, * ) work, integer ldwork, real, dimension( * ) rwork, real
       rcond, real resid)
       SGET03

🎯 Purpose

SGET03 computes the residual for a general matrix times its inverse, and the formula is literally:

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

where EPS is the machine epsilon. slay. ✨

🍓 Parameters

  • N — N is INTEGER; the number of rows and columns of the matrix A. Requirement: N >= 0. 🫶
  • A — A is REAL array, dimension (LDA,N); the original N x N matrix A. 💖
  • LDA — LDA is INTEGER; the leading dimension of the array A. Requirement: LDA >= max(1,N). ✨
  • AINV — AINV is REAL array, dimension (LDAINV,N); the inverse of the matrix A. 🦋
  • LDAINV — LDAINV is INTEGER; the leading dimension of the array AINV. Requirement: LDAINV >= max(1,N). 🌸
  • WORK — WORK is REAL array, dimension (LDWORK,N). 💅
  • LDWORK — LDWORK is INTEGER; the leading dimension of the array WORK. Requirement: LDWORK >= max(1,N). 🎀
  • RWORK — RWORK is REAL array, dimension (N). 🫶
  • RCOND — RCOND is REAL; the reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV). 💜
  • RESID — RESID is REAL; 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

Definition at line 107 of file sget03.f. ⭐

🌈 Author 🌈

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That’s the whole page, bestie 💖 Source/version: LAPACK Version 3.12.0; page: TESTING/LIN/sget03.f(3). 🫶✨

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