SRC/sorg2r.f(3)

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version 3.12.1 · 7 versions
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💅 SRC/sorg2r.f

okay bestie, this is the Library Functions Manual entry for SRC/sorg2r.f — LAPACK subroutine realness, coming right up. ✨

🌸 NAME 🌸

SRC/sorg2r.f

🌈 SYNOPSIS 🌈

Functions/Subroutines

subroutine sorg2r (m, n, k, a, lda, tau, work, info)

SORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm). 🫶

🎀 Function/Subroutine Documentation 🎀

subroutine sorg2r (integer m, integer n, integer k, real, dimension( lda, * ) a, integer lda, real, dimension( * ) tau, real, dimension( * ) work, integer info)

SORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm). 💖

💖 Purpose 💖

Bestie, the whole point: SORG2R generates an m by n real matrix Q with orthonormal columns, and it’s defined as the first n columns of a product of k elementary reflectors of order m:

Q  =  H(1) H(2) . . . H(k)

as returned by SGEQRF. No cap. 🌟

🦋 Parameters 🦋

  • M — M is INTEGER; the number of rows of the matrix Q. M >= 0.
  • N — N is INTEGER; the number of columns of the matrix Q. M >= N >= 0.
  • K — K is INTEGER; the number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
  • A — A is REAL array, dimension (LDA,N). On entry, the i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGEQRF in the first k columns of its array argument A. On exit, the m-by-n matrix Q. 💅
  • LDA — LDA is INTEGER; the first dimension of the array A. LDA >= max(1,M).
  • TAU — TAU is REAL array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQRF.
  • WORK — WORK is REAL array, dimension (N).
  • INFO — INFO is INTEGER; = 0: successful exit; < 0: if INFO = -i, the i-th argument has an illegal value.

👑 Author 👑

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

Definition at line 113 of file sorg2r.f.

🤖 Author 🤖

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mwah 💖 that’s the whole page, bestie — LAPACK Version 3.12.0, source page SRC/sorg2r.f(3), and yes, the cute little sign-off is right here. 🫶✨

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