TESTING/LIN/ssyt01.f(3)

🎀 NAME 🎀

okay bestie, this is the Library Functions Manual page for TESTING/LIN/ssyt01.f(3) — yes, the whole path is the name, and it's iconic.

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine ssyt01 (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork,
    resid)

SSYT01 — that's the subroutine, no cap. 💅

🦋 Function/Subroutine Documentation 🦋

subroutine ssyt01 full signature

subroutine ssyt01 (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. That's the name, periodt.

Purpose:

OMG okay so SSYT01 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. Slay. ✨

Parameters

• UPLO — CHARACTER*1. Tells you whether the upper or lower triangular part of the symmetric matrix A is stored:
  • 'U': Upper triangular
  • 'L': Lower triangular
• N — INTEGER. The number of rows and columns of the matrix A. N >= 0.
• A — REAL array, dimension (LDA,N). The original symmetric matrix A.
• LDA — INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• AFAC — 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 — INTEGER. The leading dimension of the array AFAC. LDAFAC >= max(1,N).
• IPIV — INTEGER array, dimension (N). The pivot indices from SSYTRF.
• C — REAL array, dimension (LDC,N).
• LDC — INTEGER. The leading dimension of the array C. LDC >= max(1,N).
• RWORK — REAL array, dimension (N).
• RESID — 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.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

---

mwah 💖 that's the whole page. Source/version sign-off at the very end: LAPACK Version 3.12.0, auto-generated from source code by Doxygen. No calendar date listed, bestie — just version energy. 🫶