TESTING/LIN/zppt03.f(3)

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version 3.12.1 · 3 versions
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🌸 NAME 🌸

Okay so this is the manual page for TESTING/LIN/zppt03.f — the header is TESTING/LIN/zppt03.f(3) and the manual name is Library Functions Manual, folded in right here so you get the vibe without me copy-pasting the whole top line, bestie 💅.

✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine zppt03 (uplo, n, a, ainv, work, ldwork, rwork, rcond, resid) — ZPPT03

🫶 Function/Subroutine Documentation 🫶

   subroutine zppt03 (character uplo, integer n, complex*16, dimension( * ) a,
       complex*16, dimension( * ) ainv, complex*16, dimension( ldwork, * )
       work, integer ldwork, double precision, dimension( * ) rwork, double
       precision rcond, double precision resid)

ZPPT03 — that's the routine name, main character energy, no cap.

💖 Purpose 💖

ZPPT03 computes the residual for a Hermitian packed matrix times its inverse:

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

where EPS is the machine epsilon. That formula? Obsessed. ✨

🎀 Parameters 🎀

UPLO

UPLO is CHARACTER*1

Specifies whether the upper or lower triangular part of the Hermitian 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 (N*(N+1)/2)

The original Hermitian matrix A, stored as a packed triangular matrix.

AINV

AINV is COMPLEX*16 array, dimension (N*(N+1)/2)

The (Hermitian) inverse of the matrix A, stored as a packed triangular matrix.

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 ( 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 108 of file zppt03.f.

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

And that's the whole page, bestie! Footer vibes: LAPACK, Version 3.12.0, and TESTING/LIN/zppt03.f(3) — there's no extra date line on this one, so I'm not inventing one. Slay. 💖✨🎀

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