/home/abui...D/dgelqs.f(3)

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🌸 NAME 🌸

okay so bestie, you've landed on the Library Functions Manual page for /home/abui...D/dgelqs.f(3), and the NAME section is just this full path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/DEPRECATED/dgelqs.f

yes, the path literally says DEPRECATED; that's in the path, so clock it. 👀💅

✨ SYNOPSIS ✨

Functions/Subroutines

  • subroutine DGELQS (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info) — DGELQS 💖

🎀 Function/Subroutine Documentation 🎀

subroutine DGELQS

subroutine DGELQS (integer m, integer n, integer nrhs, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( * ) tau, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( lwork ) work, integer lwork, integer info)

yup, that's the whole signature. DGELQS. main character energy fr fr. ✨

Purpose

okay so what does it do? It computes a minimum-norm solution:

min || A*X - B ||

using the LQ factorization:

A = L*Q

computed by DGELQF. that's the plot. 💖

Parameters

here's the cast, every single one, no skips:

  • 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 >= M >= 0. 🌟
  • NRHS — NRHS is INTEGER. The number of columns of B. Constraint: NRHS >= 0. 🌟
  • A — A is DOUBLE PRECISION array, dimension (LDA,N). Details of the LQ factorization of the original matrix A as returned by DGELQF. 🦋
  • LDA — LDA is INTEGER. The leading dimension of the array A. Constraint: LDA >= M. 🦋
  • TAU — TAU is DOUBLE PRECISION array, dimension (M). Details of the orthogonal matrix Q. 🦋
  • B — B is DOUBLE PRECISION array, dimension (LDB,NRHS). On entry, the m-by-nrhs right hand side matrix B. On exit, the n-by-nrhs solution matrix X. 🦋
  • LDB — LDB is INTEGER. The leading dimension of the array B. Constraint: LDB >= N. 🦋
  • WORK — WORK is DOUBLE PRECISION 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

the legends behind this:

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

Definition at line 119 of file dgelqs.f.

👑 Author 👑

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