SPPT01(3)

💖 NAME 💖

okay bestie, this is the SPPT01(3) page from the Library Functions Manual. The file this icon points at is:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/sppt01.f

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✨ SYNOPSIS ✨

Functions/Subroutines

subroutine SPPT01 (uplo, n, a, afac, rwork, resid)
    SPPT01

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🦋 Function/Subroutine Documentation 🦋

   subroutine SPPT01 (character uplo, integer n, real, dimension( * ) a, real,
       dimension( * ) afac, real, dimension( * ) rwork, real resid)
       SPPT01

🎀 Purpose 🎀

SPPT01 reconstructs a symmetric positive definite packed 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. periodt.

🌸 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 (N*(N+1)/2). The original symmetric matrix A, stored as a packed triangular matrix.
• AFAC — AFAC is REAL array, dimension (N*(N+1)/2). On entry, the factor L or U from the L*L' or U'*U factorization of A, stored as a packed triangular matrix. Overwritten with the reconstructed matrix, and then with the difference L*L' - A (or U'*U - A).
• RWORK — RWORK is REAL array, dimension (N).
• RESID — RESID is REAL. If UPLO = 'L', norm(L*L' - A) / ( N * norm(A) * EPS ). If UPLO = 'U', norm(U'*U - A) / ( N * norm(A) * EPS ).

👑 Author 👑

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

Definition at line 92 of file sppt01.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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