TESTING/LIN/cspt03.f(3)

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version 3.12.1 · 2 versions
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🌸 NAME 🌸

Okay so this is the TESTING/LIN/cspt03.f(3) page from the Library Functions Manual, and the NAME section is literally just TESTING/LIN/cspt03.f — no cap, that's the whole name vibe 💅.

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

Bestie, the synopsis is giving:

       subroutine cspt03 (uplo, n, a, ainv, work, ldw, rwork, rcond, resid)
           CSPT03

🦋 Function/Subroutine Documentation 🦋

Here's the full signature, exactly as it appears, no edits, no cap:

   subroutine cspt03 (character uplo, integer n, complex, dimension( * ) a,
       complex, dimension( * ) ainv, complex, dimension( ldw, * ) work, integer
       ldw, real, dimension( * ) rwork, real rcond, real resid)

The routine name is CSPT03 — periodt 😌.

🎀 Purpose 🎀

CSPT03 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. That's the whole purpose, and it ate 💅.

🌸 Parameters 🌸

Vibe check on the parameters, one by one:

UPLO

UPLO is CHARACTER*1 and 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 array, dimension (N*(N+1)/2) — the original complex symmetric matrix A, stored as a packed triangular matrix.

AINV

AINV is COMPLEX array, dimension (N*(N+1)/2) — the (symmetric) inverse of the matrix A, stored as a packed triangular matrix.

WORK

WORK is COMPLEX array, dimension (LDW,N).

LDW

LDW is INTEGER — the leading dimension of the array WORK. LDW >= max(1,N).

RWORK

RWORK is REAL array, dimension (N).

RCOND

RCOND is REAL — the reciprocal of the condition number of A, computed as ( 1/norm(A) ) / norm(AINV).

RESID

RESID is 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 108 of file cspt03.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

Okay that's the page, bestie! Footer tea: LAPACK Version 3.12.0, page TESTING/LIN/cspt03.f(3) — and there's no date printed in that footer, so I'm not inventing one, slay responsibly 🫶💜✨

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