SPOT03(3)

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/spot03.f — that's the file path chilling in the NAME section, bestie. This page is spot03(3) from the Library Functions Manual, and the header does that cute repeated shorthand thing: /home/abui...IN/spot03.f(3). It's giving LAPACK testing energy, fr.

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine SPOT03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork,
    rcond, resid)
    SPOT03

💅 Function/Subroutine Documentation 💅

subroutine SPOT03 (character uplo, 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)

SPOT03

🦋 Purpose 🦋

Okay so SPOT03 computes the residual for a symmetric matrix times its inverse:

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

where EPS is the machine epsilon. Slay.

🎀 Parameters 🎀

• UPLO — UPLO is CHARACTER*1. It specifies whether the upper or lower triangular part of the symmetric matrix A is stored:
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• N — N is INTEGER. The number of rows and columns of the matrix A. N >= 0.
• A — A is REAL array, dimension (LDA,N). The original symmetric matrix A.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• AINV — AINV is REAL array, dimension (LDAINV,N). On entry, the inverse of the matrix A, stored as a symmetric matrix in the same format as A. In this version, AINV is expanded into a full matrix and multiplied by A, so the opposing triangle of AINV will be changed; i.e., if the upper triangular part of AINV is stored, the lower triangular part will be used as work space.
• LDAINV — LDAINV is INTEGER. The leading dimension of the array AINV. LDAINV >= max(1,N).
• WORK — WORK is REAL array, dimension (LDWORK,N).
• LDWORK — LDWORK is INTEGER. The leading dimension of the array WORK. 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 - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )

👑 Author 👑

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

Definition at line 123 of file spot03.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole vibe, bestie. This page is LAPACK Version 3.12.0, and the footer bit is /home/abui...IN/spot03.f(3) — periodt. 💖✨