SRQT02(3)

🌸 NAME 🌸

okay so bestie, this is SRQT02(3) — a Library Functions Manual page, and the file it's all about is /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/srqt02.f. 💅✨

✨ SYNOPSIS ✨

💫 Functions/Subroutines 💫

• subroutine SRQT02 (m, n, k, a, af, q, r, lda, tau, work, lwork, rwork, result) — literally the SRQT02 subroutine, no cap. 🫶

🦋 Function/Subroutine Documentation 🦋

subroutine SRQT02 (integer m, integer n, integer k, real, dimension( lda, * ) a, real, dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension( lda, * ) r, integer lda, real, dimension( * ) tau, real, dimension( lwork ) work, integer lwork, real, dimension( * ) rwork, real, dimension( * ) result)

SRQT02 🫶

🎀 Purpose 🎀

okay so SRQT02 tests SORGRQ, which generates an m-by-n matrix Q with orthonormal rows that is defined as the product of k elementary reflectors. ✨

Given the RQ factorization of an m-by-n matrix A, SRQT02 generates the orthogonal matrix Q defined by the factorization of the last k rows of A; it compares R(m-k+1:m,n-m+1:n) with A(m-k+1:m,1:n)*Q(n-m+1:n,1:n)', and checks that the rows of Q are orthonormal. 💖

💖 Parameters 💖

• M — M is INTEGER. The number of rows of the matrix Q to be generated. M >= 0. 👑
• N — N is INTEGER. The number of columns of the matrix Q to be generated. N >= M >= 0. 🌸
• 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). The m-by-n matrix A which was factorized by SRQT01. 💜
• AF — AF is REAL array, dimension (LDA,N). Details of the RQ factorization of A, as returned by SGERQF. See SGERQF for further details. 🔥
• Q — Q is REAL array, dimension (LDA,N). 🎀
• R — R is REAL array, dimension (LDA,M). 🍓
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= N. 💅
• TAU — TAU is REAL array, dimension (M). The scalar factors of the elementary reflectors corresponding to the RQ factorization in AF. ⭐
• WORK — WORK is REAL array, dimension (LWORK). 🧚
• LWORK — LWORK is INTEGER. The dimension of the array WORK. 🌈
• RWORK — RWORK is REAL array, dimension (M). 🫶
• RESULT — RESULT is REAL array, dimension (2). The test ratios: 💖

RESULT(1) = norm( R - A*Q' ) / ( N * norm(A) * EPS )
RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )

👑 Author 👑

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

🧵 Definition 🧵

Definition at line 134 of file srqt02.f. 💫

👑 Author 👑

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

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💖 okay that's the whole page, bestie! Cute sign-off: source/version is LAPACK Version 3.12.0, and the footer date/source stamp is /home/abui...IN/srqt02.f(3). periodt. 💅