TESTING/LIN/cspt02.f(3)

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✨ NAME ✨

TESTING/LIN/cspt02.f

🦋 SYNOPSIS 🦋

Functions/Subroutines

  • subroutine cspt02 (uplo, n, nrhs, a, x, ldx, b, ldb, rwork, resid) — CSPT02

🌸 Function/Subroutine Documentation 🌸

subroutine cspt02 (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)

CSPT02

Purpose:

CSPT02 computes the residual in the solution of a complex symmetric system of linear equations A*x = b when packed storage is used for the coefficient matrix. The ratio computed is:

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

where EPS is the machine precision.

Parameters

  • UPLO — UPLO is CHARACTER*1. It specifies whether the upper or lower triangular part of the complex symmetric 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 (N*(N+1)/2). The original complex symmetric matrix A, stored as a packed triangular matrix.
  • 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.
  • 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 121 of file cspt02.f.

🫶 Author 🫶

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