CPPT02(3)

💖 NAME 💖

Okay so this page is for the file /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cppt02.f — yes, the whole entire path, bestie, no trimming. It's the cppt02.f(3) page from the Library Functions Manual, and it's giving very specific LAPACK testing energy. 💅

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

Here's the vibe check, literally:

       subroutine CPPT02 (uplo, n, nrhs, a, x, ldx, b, ldb, rwork, resid)
           CPPT02

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🫶 Function/Subroutine Documentation 🫶

The full signature is exactly this, no cap:

   subroutine CPPT02 (character uplo, integer n, integer nrhs, complex,
       dimension( * ) a, complex, dimension( ldx, * ) x, integer ldx, complex,
       dimension( ldb, * ) b, integer ldb, real, dimension( * ) rwork, real
       resid)

And the subroutine is simply CPPT02. Iconic.

🎀 Purpose 🎀

CPPT02 computes the residual in the solution of a Hermitian system of linear equations A*x = b when packed storage is used for the coefficient matrix. The ratio computed is literally:

RESID = norm(B - A*X) / ( norm(A) * norm(X) * EPS),

where EPS is the machine precision. Math girlie moment. ✨

🌸 Parameters 🌸

• UPLO — is CHARACTER*1 and tells you which triangular part of the Hermitian matrix A is stored, fr:
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• N — is INTEGER, the number of rows and columns of the matrix A. N >= 0.
• NRHS — is INTEGER, the number of columns of B, the matrix of right hand sides. NRHS >= 0.
• A — is COMPLEX array, dimension (N*(N+1)/2). It's the original Hermitian matrix A, stored as a packed triangular matrix.
• X — is COMPLEX array, dimension (LDX,NRHS). These are the computed solution vectors for the system of linear equations.
• LDX — is INTEGER, the leading dimension of the array X. LDX >= max(1,N).
• B — is COMPLEX array, dimension (LDB,NRHS). On entry, it's the right hand side vectors for the system of linear equations. On exit, B is overwritten with the difference B - A*X.
• LDB — is INTEGER, the leading dimension of the array B. LDB >= max(1,N).
• RWORK — is REAL array, dimension (N).
• RESID — is REAL. It's the maximum over the number of right hand sides of norm(B - A*X) / ( norm(A) * norm(X) * EPS ).

🌈 Author 🌈

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 121 of file cppt02.f. 🫶

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole page, bestie — LAPACK Version 3.12.0, cppt02.f(3). You ate. 🎀💖