/home/abui...t01_rook.f(3)

💖 NAME 💖

okay so this page is from the Library Functions Manual, and it's all about the file /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ssyt01_rook.f. That's the whole NAME section, bestie — no cap. 🫶

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🌸 SYNOPSIS 🌸

✨ Functions/Subroutines ✨

• subroutine SSYT01_ROOK (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid) — the whole subroutine in one glorious line. Slay. 💅

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💖 Function/Subroutine Documentation 💖

subroutine SSYT01_ROOK (character uplo, integer n, real, dimension( lda, * ) a, integer lda, real, dimension( ldafac, * ) afac, integer ldafac, integer, dimension( * ) ipiv, real, dimension( ldc, * ) c, integer ldc, real, dimension( * ) rwork, real resid)

SSYT01_ROOK — that's the main character right there. ⭐

🎯 Purpose 🎯

okay so, SSYT01_ROOK reconstructs a symmetric indefinite matrix A from its block L*D*L' or U*D*U' factorization and computes the residual

norm( C - A ) / ( N * norm(A) * EPS ),

where C is the reconstructed matrix and EPS is the machine epsilon. Literally the whole vibe check. 🦋

🎀 Parameters 🎀

UPLO 🦋

• UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the symmetric matrix A is stored:
  • = 'U': Upper triangular
  • = 'L': Lower triangular

N 🌸

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

A 💜

• A — A is REAL array, dimension (LDA,N). The original symmetric matrix A.

LDA ✨

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

AFAC 🔥

• AFAC — AFAC is REAL array, dimension (LDAFAC,N). The factored form of the matrix A. AFAC contains the block diagonal matrix D and the multipliers used to obtain the factor L or U from the block L*D*L' or U*D*U' factorization as computed by SSYTRF_ROOK.

LDAFAC 🌈

• LDAFAC — LDAFAC is INTEGER. The leading dimension of the array AFAC. LDAFAC >= max(1,N).

IPIV 👑

• IPIV — IPIV is INTEGER array, dimension (N). The pivot indices from SSYTRF_ROOK.

C 🎀

• C — C is REAL array, dimension (LDC,N).

LDC 💖

• LDC — LDC is INTEGER. The leading dimension of the array C. LDC >= max(1,N).

RWORK 🧚

• RWORK — RWORK is REAL array, dimension (N).

RESID ⭐

• RESID — RESID is REAL. If UPLO = 'L', norm(L*D*L' - A) / ( N * norm(A) * EPS ). If UPLO = 'U', norm(U*D*U' - A) / ( N * norm(A) * EPS ).

Author 💜

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

Definition at line 122 of file ssyt01_rook.f.

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💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's a wrap! 💋 Source/version energy: LAPACK Version 3.12.0, and the footer page path is /home/abui...t01_rook.f(3). Go forth and residual-check, bestie — periodt. 🌈✨