TESTING/LIN/zppt02.f(3)

🌸 TESTING/LIN/zppt02.f(3) 🌸

hey bestie, welcome to the Library Functions Manual page for TESTING/LIN/zppt02.f(3) 💅 this one's all about zppt02, and yes, it's giving "linear algebra but make it cute". no cap.

💖 NAME 💖

TESTING/LIN/zppt02.f

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

subroutine zppt02 (uplo, n, nrhs, a, x, ldx, b, ldb, rwork, resid)
    ZPPT02

🦋 Function/Subroutine Documentation 🦋

🎀 subroutine zppt02 🎀

subroutine zppt02 (character uplo, integer n, integer nrhs, complex*16,
    dimension( * ) a, complex*16, dimension( ldx, * ) x, integer ldx,
    complex*16, dimension( ldb, * ) b, integer ldb, double precision,
    dimension( * ) rwork, double precision resid)
    ZPPT02

🌟 Purpose 🌟

okay so ZPPT02 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 it computes is:

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

where EPS is the machine precision. periodt.

🌈 Parameters 🌈

• UPLO — CHARACTER*1. Specifies whether the upper or lower triangular part of the Hermitian matrix A is stored:
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• N — INTEGER. The number of rows and columns of the matrix A. N >= 0.
• NRHS — INTEGER. The number of columns of B, the matrix of right hand sides. NRHS >= 0.
• A — COMPLEX*16 array, dimension (N*(N+1)/2). The original Hermitian matrix A, stored as a packed triangular matrix.
• X — COMPLEX*16 array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations.
• LDX — INTEGER. The leading dimension of the array X. LDX >= max(1,N).
• B — COMPLEX*16 array, dimension (LDB,NRHS). On entry, the right hand side vectors for the system of linear equations. On exit, B is overwritten with the difference B - A*X.
• LDB — INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• RWORK — DOUBLE PRECISION array, dimension (N).
• RESID — DOUBLE PRECISION. 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 zppt02.f.

💖 Author 💖 (the meta one)

Generated automatically by Doxygen for LAPACK from the source code.

---

bye bestie 🫶 this page comes from LAPACK, Version 3.12.0, and its footer name is TESTING/LIN/zppt02.f(3) — no date was listed in the footer, so we're not inventing one 🌸✨