CGET02(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

πŸ’– NAME πŸ’–

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cget02.f β€” okay bestie, this is the name entry for cget02.f(3) from the Library Functions Manual. It’s a Fortran file path, and it’s here to spill the tea on CGET02. πŸ’…

✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine CGET02 (trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid) β€” CGET02

πŸŽ€ Function/Subroutine Documentation πŸŽ€

subroutine CGET02 (character trans, integer m, 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)

CGET02 β€” yes, she’s the main character πŸ‘‘

Purpose:

CGET02 computes the residual for a solution of a system of linear equations op(A)*X = B:

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

where op(A) = A, A**T, or A**H, depending on TRANS, and EPS is the machine epsilon. No cap, that’s the whole vibe. πŸ’–

Parameters

  • TRANS β€” TRANS is CHARACTER*1. It specifies the form of the system of equations, and you already know she has options:
    • = 'N': A * X = B (No transpose)
    • = 'T': A**T * X = B (Transpose)
    • = 'C': A**H * X = B (Conjugate transpose)
  • M β€” M is INTEGER. The number of rows of the matrix A. M >= 0. Keep it cute and non-negative. ✨
  • N β€” N is INTEGER. The number of columns of the matrix A. N >= 0. Slay. πŸ’…
  • NRHS β€” NRHS is INTEGER. The number of columns of B, the matrix of right hand sides. NRHS >= 0.
  • A β€” A is COMPLEX array, dimension (LDA,N). The original M x N matrix A. Iconic. πŸ¦‹
  • LDA β€” LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,M). Respect the leading dimension, periodt.
  • X β€” X is COMPLEX array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations.
  • LDX β€” LDX is INTEGER. The leading dimension of the array X. If TRANS = 'N', LDX >= max(1,N); if TRANS = 'T' or 'C', LDX >= max(1,M).
  • B β€” 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 - op(A)*X. Not me getting overwritten mid-call 😭
  • LDB β€” LDB is INTEGER. The leading dimension of the array B. IF TRANS = 'N', LDB >= max(1,M); if TRANS = 'T' or 'C', LDB >= max(1,N).
  • RWORK β€” RWORK is REAL array, dimension (M). That’s it, that’s the whole note. 🌸
  • RESID β€” RESID is REAL. The maximum over the number of right hand sides of norm(B - op(A)*X) / ( norm(op(A)) * norm(X) * EPS ). This is the final boss number, bestie. πŸ‘‘

πŸ‘‘ Author πŸ‘‘

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

Definition at line 132 of file cget02.f.

🌸 Author 🌸

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mwah πŸ’‹ β€” source/version check: LAPACK Version 3.12.0, page path: /home/abui...IN/cget02.f(3), no date listed, just pure LAPACK energy. Byeee bestie 🫢

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