TESTING/LIN/cgerqs.f(3)

💖 TESTING/LIN/cgerqs.f(3) — Library Functions Manual

okay bestie, welcome to the TESTING/LIN/cgerqs.f page from the Library Functions Manual. This one is all about the CGERQS subroutine, and it's giving “minimum-norm solution via RQ factorization” energy. Let's get into it, no cap ✨

🌸 NAME

TESTING/LIN/cgerqs.f

✨ SYNOPSIS

🧚 Functions/Subroutines

       subroutine cgerqs (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)
           CGERQS

🫶 Function/Subroutine Documentation

💅 subroutine cgerqs

   subroutine cgerqs (integer m, integer n, integer nrhs, complex, dimension(
       lda, * ) a, integer lda, complex, dimension( * ) tau, complex,
       dimension( ldb, * ) b, integer ldb, complex, dimension( lwork ) work,
       integer lwork, integer info)
       CGERQS

🎯 Purpose

Compute a minimum-norm solution min || A*X - B || using the RQ factorization A = R*Q computed by CGERQF. That's the whole main-character mission, periodt 💅

🧸 Parameters

• 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 >= M >= 0.
• NRHS — NRHS is INTEGER. The number of columns of B. NRHS >= 0.
• A — A is COMPLEX array, dimension (LDA,N). Details of the RQ factorization of the original matrix A as returned by CGERQF.
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= M.
• TAU — TAU is COMPLEX array, dimension (M). Details of the orthogonal matrix Q.
• B — B is COMPLEX array, dimension (LDB,NRHS). On entry, the right hand side vectors for the linear system. On exit, the solution vectors X. Each solution vector is contained in rows 1:N of a column of B.
• LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• WORK — WORK is COMPLEX array, dimension (LWORK).
• LWORK — LWORK is INTEGER. The length of the array WORK. LWORK must be at least NRHS, and should be at least NRHS*NB, where NB is the block size for this environment.
• INFO — INFO is INTEGER. = 0: successful exit. < 0: if INFO = -i, the i-th argument had an illegal value.

🌟 Author

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

Definition at line 120 of file cgerqs.f.

💌 Author

Generated automatically by Doxygen for LAPACK from the source code.

---

and that's the whole page, bestie 🫶 the footer is literally LAPACK Version 3.12.0 and TESTING/LIN/cgerqs.f(3) — source/version noted, no separate date field printed. now go forth and slay those minimum-norm solutions 🎀✨