SORGLQ(3)

💖 NAME 💖

Bestie, this is the SORGLQ page, living at /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/sorglq.f in the Library Functions Manual (header tag: /home/abui...RC/sorglq.f(3)). No cap, it’s giving “LAPACK source file with main character energy.” 💅

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

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

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👑 Function/Subroutine Documentation 👑

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

🌸 Purpose 🌸

Okay so SORGLQ generates an M-by-N real matrix Q with orthonormal rows, and that matrix is defined as the first M rows of a product of K elementary reflectors of order N:

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

It’s literally as returned by SGELQF. 🫶

🍓 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. N >= M. ✨
• K — K is INTEGER. The number of elementary reflectors whose product defines the matrix Q. M >= K >= 0. 🎀
• A — A is REAL array, dimension (LDA,N). On entry, the i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by SGELQF in the first k rows 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 SGELQF. 🌸
• WORK — WORK is REAL array, dimension (MAX(1,LWORK)). On exit, if INFO = 0, WORK(1) returns the optimal LWORK. 🎀
• LWORK — LWORK is INTEGER. The dimension of the array WORK. LWORK >= max(1,M). For optimum performance LWORK >= M*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 126 of file sorglq.f. ⭐

Yup, Definition at line 126 of file sorglq.f. — iconic. 👑

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🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code. 🤖💖

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Signed off with love by LAPACK Version 3.12.0 from /home/abui...RC/sorglq.f(3) 💅✨🎀🦋🌸🫶