TESTING/LIN/cpot02.f(3)

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version 3.12.1 · 2 versions
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🌸 NAME 🌸

TESTING/LIN/cpot02.f — okay so this is the LAPACK Library Functions Manual page for the cpot02 routine, and it's literally the residual-checking bestie for a Hermitian linear system. 💖

✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

  • subroutine cpot02 (uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid) — CPOT02

💖 Function/Subroutine Documentation 💖

   subroutine cpot02 (character uplo, integer n, integer nrhs, complex,
       dimension( lda, * ) a, integer lda, complex, dimension( ldx, * ) x,
       integer ldx, complex, dimension( ldb, * ) b, integer ldb, real,
       dimension( * ) rwork, real resid)

CPOT02

🦋 Purpose 🦋

Okay so CPOT02 computes the residual for the solution of a Hermitian system of linear equations A*x = b:

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

where EPS is the machine epsilon. Slay. ✨

🌸 Parameters 🌸

  • UPLO — UPLO is CHARACTER*1. It 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.
  • NRHS — NRHS is INTEGER. The number of columns of B, the matrix of right hand sides. NRHS >= 0.
  • A — A is COMPLEX array, dimension (LDA,N). The original Hermitian matrix A.
  • LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
  • X — X is COMPLEX array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations.
  • LDX — LDX is INTEGER. The leading dimension of the array X. LDX >= max(1,N).
  • B — B is COMPLEX 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. Not me gasping at an overwrite 😭.
  • LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
  • RWORK — RWORK is REAL array, dimension (N).
  • RESID — RESID is REAL. 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 125 of file cpot02.f.

🎀 Author 🎀

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💖 That's the whole page, bestie — LAPACK, Version 3.12.0, TESTING/LIN/cpot02.f(3). Byeee ✨🦋

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