TESTING/LIN/zhet01_3.f(3)

💅 TESTING/LIN/zhet01_3.f(3) 💅

okay bestie, this page is from the Library Functions Manual and it's all about TESTING/LIN/zhet01_3.f — we're covering every single parameter, no skips, periodt. 💖

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✨ NAME ✨

TESTING/LIN/zhet01_3.f

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🌸 SYNOPSIS 🌸

🦋 Functions/Subroutines 🦋

subroutine zhet01_3 (uplo, n, a, lda, afac, ldafac, e, ipiv, c, ldc,
    rwork, resid)

ZHET01_3

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🎀 Function/Subroutine Documentation 🎀

🌟 subroutine zhet01_3 🌟

subroutine zhet01_3 (character uplo, integer n, complex*16, dimension( lda,
    * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer
    ldafac, complex*16, dimension( * ) e, integer, dimension( * ) ipiv,
    complex*16, dimension( ldc, * ) c, integer ldc, double precision,
    dimension( * ) rwork, double precision resid)

ZHET01_3

🎯 Purpose:

ZHET01_3 reconstructs a Hermitian indefinite matrix A from its block L*D*L' or U*D*U' factorization computed by ZHETRF_RK (or ZHETRF_BK) 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 — 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). Diagonal of the block diagonal matrix D and factors U or L as computed by ZHETRF_RK and ZHETRF_BK:
  • a) ONLY diagonal elements of the Hermitian block diagonal matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D should be provided on entry in array E), and
  • b) If UPLO = 'U': factor U in the superdiagonal part of A. If UPLO = 'L': factor L in the subdiagonal part of A.
• LDAFAC — INTEGER. The leading dimension of the array AFAC. LDAFAC >= max(1,N).
• E — COMPLEX*16 array, dimension (N). On entry, contains the superdiagonal (or subdiagonal) elements of the Hermitian block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not referenced; If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced.
• IPIV — INTEGER array, dimension (N). The pivot indices from ZHETRF_RK (or ZHETRF_BK).
• C — COMPLEX*16 array, dimension (LDC,N).
• LDC — INTEGER. The leading dimension of the array C. LDC >= max(1,N).
• RWORK — DOUBLE PRECISION array, dimension (N).
• RESID — DOUBLE PRECISION.
  • 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 139 of file zhet01_3.f.

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🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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