SORG2L(3)

✨ okay bestie, this is the Library Functions Manual entry for /home/abui...RC/sorg2l.f(3) — we're keeping the whole receipt, no cap 💅

🌸 NAME 🌸

The path is literally:

/home/abuild/rpmbuild/BUILD/lapack-
static-3.12.0-build/lapack-3.12.0/SRC/sorg2l.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

subroutine SORG2L (m, n, k, a, lda, tau, work, info)
    SORG2L generates all or part of the orthogonal matrix Q from a QL
    factorization determined by sgeqlf (unblocked algorithm).

💅 Function/Subroutine Documentation 💅

subroutine SORG2L (integer m, integer n, integer k, real, dimension( lda, *
) a, integer lda, real, dimension( * ) tau, real, dimension( * ) work,
integer info)

SORG2L generates all or part of the orthogonal matrix Q from a QL factorization determined by sgeqlf (unblocked algorithm).

🎀 Purpose 🎀

SORG2L generates an m by n real matrix Q with orthonormal columns, defined as the last n columns of a product of k elementary reflectors of order m:

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

as returned by SGEQLF. That's the whole glow-up, bestie ✨

🦋 Parameters 🦋

• M — INTEGER. The number of rows of the matrix Q. M >= 0.
• N — INTEGER. The number of columns of the matrix Q. M >= N >= 0.
• K — INTEGER. The number of elementary reflectors whose product defines the matrix Q. N >= K >= 0.
• A — REAL array, dimension (LDA,N). On entry, the (n-k+i)-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGEQLF in the last k columns of its array argument A. On exit, the m by n matrix Q.
• LDA — INTEGER. The first dimension of the array A. LDA >= max(1,M).
• TAU — REAL array, dimension (K). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by SGEQLF.
• WORK — REAL array, dimension (N).
• INFO — 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 sorg2l.f.

💜 Author 💜

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