TESTING/LIN/zspt03.f(3)

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🌸 TESTING/LIN/zspt03.f(3) 🌸

okay bestie, this page is from the Library Functions Manual and it’s all about TESTING/LIN/zspt03.f — yes, that’s the whole NAME section, she’s lowkey just the file itself, periodt. 💅

🦋 SYNOPSIS 🦋

Functions/Subroutines

subroutine zspt03 (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)

ZSPT03

🎀 Function/Subroutine Documentation 🎀

   subroutine zspt03 (character uplo, integer n, complex*16, dimension( * ) a,
       complex*16, dimension( * ) ainv, complex*16, dimension( ldw, * ) work,
       integer ldw, double precision, dimension( * ) rwork, double precision
       rcond, double precision resid)

ZSPT03

🎯 Purpose

She computes the residual for a complex symmetric packed matrix times its inverse:

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

where EPS is the machine epsilon. ✨

🌈 Parameters

  • 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 — is INTEGER. The number of rows and columns of the matrix A. N >= 0.
  • A — is COMPLEX*16 array, dimension (N*(N+1)/2). The original complex symmetric matrix A, stored as a packed triangular matrix.
  • AINV — is COMPLEX*16 array, dimension (N*(N+1)/2). The (symmetric) inverse of the matrix A, stored as a packed triangular matrix.
  • WORK — is COMPLEX*16 array, dimension (LDW,N).
  • LDW — is INTEGER. The leading dimension of the array WORK. LDW >= max(1,N).
  • RWORK — is DOUBLE PRECISION array, dimension (N).
  • RCOND — is DOUBLE PRECISION. The reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV).
  • 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 108 of file zspt03.f.

🧚 Author

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that’s the tea, bestie 🫶 this page is from LAPACK, Version 3.12.0, for TESTING/LIN/zspt03.f(3) — iconic, no cap. 🎀✨

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