SPPT03(3)

💖 SPPT03(3) 💖

okay so bestie, this is the Library Functions Manual page for SPPT03(3). It's giving LAPACK routine energy, and we're keeping every type, parameter, formula, and author line exactly as it is. no cap ✨

🦋 NAME 🦋

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/sppt03.f

✨ SYNOPSIS ✨

💅 Functions/Subroutines 💅

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

🌸 Function/Subroutine Documentation 🌸

here's the full typed-out signature, bestie:

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)

and the description is literally just SPPT03 again. iconic.

🎀 Purpose 🎀

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 — CHARACTER*1. Specifies whether the upper or lower triangular part of the symmetric 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 — REAL array, dimension (N*(N+1)/2). The original symmetric matrix A, stored as a packed triangular matrix.
• AINV — REAL array, dimension (N*(N+1)/2). The (symmetric) inverse of the matrix A, stored as a packed triangular matrix.
• WORK — REAL 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 108 of file sppt03.f.

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie. footer vibe check: LAPACK, Version 3.12.0, and /home/abui...IN/sppt03.f(3). byeee 🫶💜