TESTING/LIN/zsyt03.f(3)

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💖 NAME 💖

TESTING/LIN/zsyt03.f

✨ SYNOPSIS ✨

🌸 Functions/Subroutines 🌸

• subroutine zsyt03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid) — ZSYT03

       subroutine zsyt03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork,
           rcond, resid)
           ZSYT03

💅 Function/Subroutine Documentation 💅

subroutine zsyt03 (character uplo, integer n, complex*16, dimension( lda, *
       ) a, integer lda, complex*16, dimension( ldainv, * ) ainv, integer
       ldainv, complex*16, dimension( ldwork, * ) work, integer ldwork, double
       precision, dimension( * ) rwork, double precision rcond, double
       precision resid)
       ZSYT03

🔥 Purpose 🔥

okay so ZSYT03 computes the residual for a complex symmetric matrix times its inverse:

norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS )

where EPS is the machine epsilon. that's the whole vibe check 🫶

🎀 Parameters 🎀

• UPLO — UPLO is CHARACTER*1. Specifies whether the upper or lower triangular part of the complex 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 COMPLEX*16 array, dimension (LDA,N). The original complex symmetric matrix A.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N)
• AINV — AINV is COMPLEX*16 array, dimension (LDAINV,N). On entry, the inverse of the matrix A, stored as a symmetric matrix in the same format as A. In this version, AINV is expanded into a full matrix and multiplied by A, so the opposing triangle of AINV will be changed; i.e., if the upper triangular part of AINV is stored, the lower triangular part will be used as work space.
• LDAINV — LDAINV is INTEGER. The leading dimension of the array AINV. LDAINV >= max(1,N).
• WORK — WORK is COMPLEX*16 array, dimension (LDWORK,N)
• LDWORK — LDWORK is INTEGER. The leading dimension of the array WORK. LDWORK >= max(1,N).
• RWORK — RWORK is DOUBLE PRECISION array, dimension (N)
• RCOND — RCOND is DOUBLE PRECISION. The reciprocal of the condition number of A, computed as RCOND = 1/ (norm(A) * norm(AINV)).
• RESID — RESID is DOUBLE PRECISION. norm(I - A*AINV) / ( N * norm(A) * norm(AINV) * EPS )

👑 Author 👑

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

Definition at line 124 of file zsyt03.f.

🦋 Author 🦋

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