DPOT03(3)

💅 DPOT03(3) — Library Functions Manual, but make it cute 💅

okay so bestie, this page is chilling at /home/abui...IN/dpot03.f(3) in the Library Functions Manual, and it's all about DPOT03. no cap, it's giving "residual check era" and I'm obsessed.

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🌸 NAME 🌸

The name is literally this path, bestie — copy it exactly or the vibe check fails:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/dpot03.f

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

subroutine DPOT03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork,
    rcond, resid)
    DPOT03

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💖 Function/Subroutine Documentation 💖

Here's the full signature, character for character, because we do not play with literals:

subroutine DPOT03 (character uplo, 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)
    DPOT03

🎀 Purpose 🎀

DPOT03 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 DOUBLE PRECISION 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 DOUBLE PRECISION 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 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 - A*AINV) / ( N * norm(A) * norm(AINV) * EPS ).

👑 Author 👑

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

⭐ Definition ⭐

Definition at line 123 of file dpot03.f.

💀 Author 💀

Generated automatically by Doxygen for LAPACK from the source code.

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💖 That's the whole page, bestie — footer vibes: LAPACK, Version 3.12.0, and the path /home/abui...IN/dpot03.f(3). Mwah 💋