TESTING/LIN/zget08.f(3)

💅 NAME 💅

Okay bestie, this is the TESTING/LIN/zget08.f page from the LAPACK Library Functions Manual, and it's all about the subroutine zget08. Iconic behavior.

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine zget08 (trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork,
    resid)
    ZGET08

🎀 Function/Subroutine Documentation 🎀

Here's the full signature, no cap:

subroutine zget08 (character trans, integer m, integer n, integer nrhs,
    complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
    ldx, * ) x, integer ldx, complex*16, dimension( ldb, * ) b, integer ldb,
    double precision, dimension( * ) rwork, double precision resid)
    ZGET08

🎯 Purpose: 🎯

ZGET08 computes the residual for a solution of a system of linear equations A*x = b or A'*x = b:

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

where EPS is the machine epsilon. Slay.

🦋 Parameters 🦋

TRANS

• TRANS is CHARACTER*1 and specifies the form of the system of equations:
  • = 'N': A *x = b
  • = 'T': A^T*x = b, where A^T is the transpose of A
  • = 'C': A^H*x = b, where A^H is the conjugate transpose of A

M

• M is INTEGER. The number of rows of the matrix A. Constraint: M >= 0.

N

• N is INTEGER. The number of columns of the matrix A. Constraint: N >= 0.

NRHS

• NRHS is INTEGER. The number of columns of B, the matrix of right hand sides. Constraint: NRHS >= 0.

A

• A is COMPLEX*16 array, dimension (LDA,N). The original M x N matrix A.

LDA

• LDA is INTEGER. The leading dimension of the array A. Constraint: LDA >= max(1,M).

X

• X is COMPLEX*16 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. If TRANS = 'N', then LDX >= max(1,N); if TRANS = 'T' or 'C', then LDX >= max(1,M).

B

• B is 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

• 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

• RWORK is DOUBLE PRECISION array, dimension (M).

RESID

• RESID is 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 131 of file zget08.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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Okay that's the whole thing, bestie! LAPACK Version 3.12.0, page TESTING/LIN/zget08.f(3) — that's the version and source/page info. The footer didn't include a date, so no cap on that, but the vibes are immaculate. Byeee! 💖✨🫶