SORGQL(3)

💅 SORGQL(3) — Library Functions Manual 💅

okay bestie, this is the SORGQL(3) page from the Library Functions Manual. yes the title is a whole vibe, but the facts are all here and they are iconic.

🌸 NAME 🌸

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

that's the whole NAME section, bestie. it's literally just the file path. no cap. 🫶

🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

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

SORGQL

💖 Function/Subroutine Documentation 💖

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

SORGQL

🎀 Purpose 🎀

okay so SORGQL generates an M-by-N real matrix Q with orthonormal columns. it's 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. periodt. ✨

🍓 Parameters 🍓

• M — M is INTEGER; it's the number of rows of the matrix Q. constraint: M >= 0. no negative rows, bestie. 🎀
• N — N is INTEGER; it's the number of columns of the matrix Q. constraint: M >= N >= 0. 💖
• K — K is INTEGER; it's the number of elementary reflectors whose product defines the matrix Q. constraint: N >= K >= 0. 🦋
• A — A is 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. slay. 👑
• LDA — LDA is INTEGER; it's the first dimension of the array A. constraint: 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 SGEQLF. 🌸
• WORK — WORK is REAL array, dimension (MAX(1,LWORK)); on exit, if INFO = 0, WORK(1) returns the optimal LWORK. 🫶
• LWORK — LWORK is INTEGER; it's the dimension of the array WORK. constraint: LWORK >= max(1,N). for optimum performance LWORK >= N*NB, where NB is the optimal blocksize. if LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA. 💀
• 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 127 of file sorgql.f.

🤖 Author 🤖

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie, we out 💖 LAPACK Version 3.12.0, footer page /home/abui...RC/sorgql.f(3) — the footer didn't print a date, so that's the whole sign-off. slay ✨