TESTING/LIN/zpot01.f(3)

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TESTING/LIN/zpot01.f(3) — from the Library Functions Manual 💖

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NAME

TESTING/LIN/zpot01.f

SYNOPSIS

Functions/Subroutines 🎀

subroutine zpot01 (uplo, n, a, lda, afac, ldafac, rwork, resid)
    ZPOT01

Function/Subroutine Documentation ✨

subroutine zpot01 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( * ) rwork, double precision resid)
    ZPOT01

Purpose 💅

ZPOT01 reconstructs a Hermitian 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, L' is the conjugate transpose of L, and U' is the conjugate transpose of U. Slay. 🔥

Parameters 🦋

  • UPLO — CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian 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 — COMPLEX*16 array, dimension (LDA,N). The original Hermitian matrix A.
  • LDA — INTEGER. The leading dimension of the array A. LDA >= max(1,N)
  • AFAC — COMPLEX*16 array, dimension (LDAFAC,N). On entry, the factor L or U from the L * L**H or U**H * U factorization of A. Overwritten with the reconstructed matrix, and then with the difference L * L**H - A (or U**H * U - A).
  • LDAFAC — INTEGER. The leading dimension of the array AFAC. LDAFAC >= max(1,N).
  • RWORK — DOUBLE PRECISION array, dimension (N)
  • RESID — DOUBLE PRECISION.
    • If UPLO = 'L', norm(L * L**H - A) / ( N * norm(A) * EPS )
    • If UPLO = 'U', norm(U**H * U - A) / ( N * norm(A) * EPS )

Author 👑

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

Definition 📌

Definition at line 105 of file zpot01.f.

Author 🦋

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