/home/abui...syt01_aa.f(3)

📦 version 3.12.0, in opensuse-leap 16.0

🌸 NAME 🌸

okay bestie, welcome to the Library Functions Manual page for /home/abui...syt01_aa.f(3) 🫶 and it is literally all about SSYT01_AA. the file path is right here, no cap:

/home/abuild/rpmbuild/BUILD/lapack-
static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ssyt01_aa.f

✨ SYNOPSIS ✨

Functions/Subroutines — here's the signature, bestie:

subroutine SSYT01_AA (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc,
    rwork, resid)
    SSYT01_AA

💖 Function/Subroutine Documentation 💖

the full signature is giving main character energy:

subroutine SSYT01_AA (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)

🌟 Purpose 🌟

SSYT01_AA 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. ✨

🎀 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).

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.

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 SSYTRF.

C

C is REAL 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 122 of file ssyt01_aa.f. 🌈

👑 Author 👑

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