CSYT01_ROOK.F(3)

CSYT01_ROOK(3) 💅

okay so bestie, welcome to the manual page for CSYT01_ROOK(3). The manual name is TESTING/LIN/csyt01_rook.f — yes, it’s giving Library Functions Manual energy. We’re gonna go through every single detail together, no cap. ✨

NAME

TESTING/LIN/csyt01_rook.f

SYNOPSIS

Functions/Subroutines

subroutine csyt01_rook (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc,
    rwork, resid)

CSYT01_ROOK

🦋 Function/Subroutine Documentation 🦋

subroutine csyt01_rook (character uplo, integer n, complex, dimension( lda,
* ) a, integer lda, complex, dimension( ldafac, * ) afac, integer
ldafac, integer, dimension( * ) ipiv, complex, dimension( ldc, * ) c,
integer ldc, real, dimension( * ) rwork, real resid)

CSYT01_ROOK

Purpose 🎯

okay so CSYT01_ROOK reconstructs a complex 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, EPS is the machine epsilon, L' is the transpose of L, and U' is the transpose of U. slay. 💖

Parameters 🧚

• UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the complex 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 COMPLEX array, dimension (LDA,N). The original complex symmetric matrix A.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N)
• AFAC — AFAC is COMPLEX 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 CSYTRF_ROOK.
• LDAFAC — LDAFAC is INTEGER. The leading dimension of the array AFAC. LDAFAC >= max(1,N).
• IPIV — IPIV is INTEGER array, dimension (N). The pivot indices from CSYTRF_ROOK.
• C — C is COMPLEX array, dimension (LDC,N)
• LDC — LDC is INTEGER. The leading dimension of the array C. LDC >= max(1,N).
• RWORK — RWORK is REAL array, dimension (N)
• 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 123 of file csyt01_rook.f.

Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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okay that’s the whole page, bestie 💖 — this one’s from LAPACK Version 3.12.0, source page TESTING/LI...yt01_rook.f(3), and the footer didn’t give a date, so I’m not inventing one. periodt. 🎀