TESTING/LIN/sppt03.f(3)

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version 3.12.1 · 2 versions
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✨ NAME ✨

Okay so, bestie, welcome to the Library Functions Manual — this is the page for TESTING/LIN/sppt03.f(3), and it's lowkey iconic. 💅

TESTING/LIN/sppt03.f

🌈 SYNOPSIS 🌈

Functions/Subroutines

  • subroutine sppt03 (uplo, n, a, ainv, work, ldwork, rwork, rcond, resid) — SPPT03

💅 Function/Subroutine Documentation 💅

   subroutine sppt03 (character uplo, integer n, real, dimension( * ) a, real,
       dimension( * ) ainv, real, dimension( ldwork, * ) work, integer ldwork,
       real, dimension( * ) rwork, real rcond, real resid)

SPPT03, no cap. 🫶

🎯 Purpose:

Bestie, here's the whole point: SPPT03 computes the residual for a symmetric packed matrix times its inverse:

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

where EPS is the machine epsilon. 💅

🌈 Parameters 🌈

UPLO

UPLO is CHARACTER*1 and it specifies whether the upper or lower triangular part of the 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 REAL array, dimension (N*(N+1)/2) — the original symmetric matrix A, stored as a packed triangular matrix.

AINV

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

WORK

WORK is REAL array, dimension (LDWORK,N).

LDWORK

LDWORK is INTEGER — the leading dimension of the array WORK. LDWORK >= 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 sppt03.f.

🪄 Author

Generated automatically by Doxygen for LAPACK from the source code.

That's the whole page, bestie! 💖 Source/version vibes: LAPACK Version 3.12.0, page TESTING/LIN/sppt03.f(3). The footer doesn't give me a date, so I'm not inventing one — just sending sparkles. 🎀✨

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