CQRT16(3)

💅 CQRT16(3) 💅

Okay bestie, hi, welcome to the Library Functions Manual page for CQRT16(3) — yes, that manual name is folded in right here so you know exactly where this lives. This is giving “LAPACK testing routine with main character energy,” and the facts are all staying put. 🫶

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🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cqrt16.f

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

       subroutine CQRT16 (trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork,
           resid)

CQRT16 — the subroutine herself. 💖

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🌈 Function/Subroutine Documentation 🌈

   subroutine CQRT16 (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)

CQRT16 — same icon, full signature, no cap. ✨

🎯 Purpose 🎯

CQRT16 computes the residual for a solution of a system of linear equations A*x = b or A'*x = b:

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

where EPS is the machine epsilon. Literally the whole vibe check for “did this solve actually work?” 😤

🧸 Parameters 🧸

• TRANS — TRANS is CHARACTER*1. 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. M >= 0. 🔢
• N — N is INTEGER. The number of 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 M x N matrix A. ✨
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,M). 🎀
• 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. If TRANS = 'N', LDX >= max(1,N); if TRANS = 'T' or 'C', LDX >= max(1,M). 🌸
• 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. 😭 important: she gets overwritten, bestie!
• 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 REAL array, dimension (M). 🍓
• RESID — RESID is REAL. The maximum over the number of right hand sides of norm(B - A*X) / ( max(m,n) * 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 cqrt16.f. 📌

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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Footer tea, bestie: LAPACK Version 3.12.0 and page path /home/abui...IN/cqrt16.f(3) — that’s the source/version sign-off, no extra date line printed here. Signed, sealed, residual-checked. 💖🫶