CPOT03(3)

💖 CPOT03(3) / cpot03.f(3) — Library Functions Manual 💖

okay so bestie, welcome to the glow-up of a LAPACK manual page 🫶. This is cpot03.f(3) from the Library Functions Manual, and we’re gonna get through it together, no cap.

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✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cpot03.f

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💅 SYNOPSIS 💅

Under Functions/Subroutines:

   Functions/Subroutines
       subroutine CPOT03 (uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork,
           rcond, resid)
           CPOT03

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🦋 Function/Subroutine Documentation 🦋

   subroutine CPOT03 (character uplo, integer n, complex, dimension( lda, * )
       a, integer lda, complex, dimension( ldainv, * ) ainv, integer ldainv,
       complex, dimension( ldwork, * ) work, integer ldwork, real, dimension( *
       ) rwork, real rcond, real resid)
       CPOT03

🎯 Purpose

CPOT03 computes the residual for a Hermitian matrix times its inverse:

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

where EPS is the machine epsilon. Math girl summer, honestly 😭✨.

🧸 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 array, dimension (LDA,N). The original Hermitian matrix A.
• LDA — INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• AINV — COMPLEX array, dimension (LDAINV,N). On entry, the inverse of the matrix A, stored as a Hermitian matrix in the same format as A.

🚨 Heads up, bestie: 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. It’s giving “we’re using that side as scrap paper” energy 💀.

• LDAINV — INTEGER. The leading dimension of the array AINV. LDAINV >= max(1,N).
• WORK — COMPLEX array, dimension (LDWORK,N).
• LDWORK — INTEGER. The leading dimension of the array WORK. LDWORK >= max(1,N).
• RWORK — REAL array, dimension (N).
• RCOND — REAL. The reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV).
• RESID — REAL. 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 cpot03.f.

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🌸 Author 🌸

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, final footer energy, cute sign-off style: LAPACK, Version 3.12.0, /home/abui...IN/cpot03.f(3) 💖🎀✨