SPOT01(3)

💅 SPOT01(3) (spot01.f(3)) — Library Functions Manual 💅

🌸 NAME 🌸

bestie, the NAME section is literally this path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/spot01.f

✨ SYNOPSIS ✨

🛠️ Functions/Subroutines

subroutine SPOT01 (uplo, n, a, lda, afac, ldafac, rwork, resid)
    SPOT01

🎀 Function/Subroutine Documentation 🎀

okay so the full signature is giving:

subroutine SPOT01 (character uplo, integer n, real, dimension( lda, * ) a,
    integer lda, real, dimension( ldafac, * ) afac, integer ldafac, real,
    dimension( * ) rwork, real resid)
SPOT01

✨ Purpose: ✨

SPOT01 reconstructs a symmetric positive definite matrix A from its L*L' or U'*U factorization and computes the residual:

norm( L*L' - A ) / ( N * norm(A) * EPS ) or
norm( U'*U - A ) / ( N * norm(A) * EPS ),

where 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. It’s the number of rows and columns of the matrix A. N >= 0.
• A — A is REAL array, dimension (LDA,N). It’s the original symmetric matrix A.
• LDA — LDA is INTEGER. It’s the leading dimension of the array A. LDA >= max(1,N)
• AFAC — AFAC is REAL array, dimension (LDAFAC,N). On entry, it’s the factor L or U from the L * L**T or U**T * U factorization of A. It gets overwritten with the reconstructed matrix, and then with the difference L * L**T - A (or U**T * U - A).
• LDAFAC — LDAFAC is INTEGER. It’s the leading dimension of the array AFAC. LDAFAC >= max(1,N).
• RWORK — RWORK is REAL array, dimension (N).
• RESID — RESID is REAL.
  • If UPLO = 'L', norm(L * L**T - A) / ( N * norm(A) * EPS )
  • If UPLO = 'U', norm(U**T * U - A) / ( N * norm(A) * EPS )

💖 Author 💖

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

Definition at line 103 of file spot01.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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cute sign-off, bestie: this page’s footer vibe is LAPACK Version 3.12.0, with the footer path /home/abui...IN/spot01.f(3). The original footer didn’t print a date, so we’re not inventing one — date: not shown. 💖✨