ZPPT03(3)

💅 ZPPT03(3) — Library Functions Manual 💅

okay so bestie, this is the ZPPT03(3) page from the Library Functions Manual, and it's literally about checking how good a Hermitian packed matrix inverse is. No cap. ✨

---

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/zppt03.f

---

✨ 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

✨ Purpose ✨

okay so here's the tea: 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's the whole vibe. 💖

🌸 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.

---

🫶 that's the whole page, bestie! source/version: LAPACK Version 3.12.0; footer path: /home/abui...IN/zppt03.f(3); and the original footer didn't show a date, so I'm not making one up. periodt. 💅