TESTING/LIN/cqrt03.f(3)

NAME

TESTING/LIN/cqrt03.f — bestie, this is the CQRT03 test routine page, and it's brought to you by the Library Functions Manual 💅✨

SYNOPSIS

   Functions/Subroutines
       subroutine cqrt03 (m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork,
           result)
           CQRT03

🧪 Function/Subroutine Documentation 🧪

   subroutine cqrt03 (integer m, integer n, integer k, complex, dimension( lda,
       * ) af, complex, dimension( lda, * ) c, complex, dimension( lda, * ) cc,
       complex, dimension( lda, * ) q, integer lda, complex, dimension( * )
       tau, complex, dimension( lwork ) work, integer lwork, real, dimension( *
       ) rwork, real, dimension( * ) result)
       CQRT03

🎯 Purpose:

Okay so CQRT03 tests CUNMQR, which computes Q*C, Q'*C, C*Q or C*Q' 👑

CQRT03 compares the results of a call to CUNMQR with the results of forming Q explicitly by a call to CUNGQR and then performing matrix multiplication by a call to CGEMM. That's the whole plot, no cap 🫶

🌸 Parameters 🌸

• M — M is INTEGER. It's the order of the orthogonal matrix Q. M >= 0. 💖
• N — N is INTEGER. The number of rows or columns of the matrix C; C is m-by-n if Q is applied from the left, or n-by-m if Q is applied from the right. N >= 0. ✨
• K — K is INTEGER. The number of elementary reflectors whose product defines the orthogonal matrix Q. M >= K >= 0. 🎀
• AF — AF is COMPLEX array, dimension (LDA,N). Details of the QR factorization of an m-by-n matrix, as returned by CGEQRF. See CGEQRF for further details. 🦋
• C — C is COMPLEX array, dimension (LDA,N). She's the matrix C, main character energy 😌
• CC — CC is COMPLEX array, dimension (LDA,N). Another COMPLEX array of dimension (LDA,N), periodt 💅
• Q — Q is COMPLEX array, dimension (LDA,M). The orthogonal matrix Q gets her own array, as she should 👑
• LDA — LDA is INTEGER. The leading dimension of the arrays AF, C, CC, and Q. 🔥
• TAU — TAU is COMPLEX array, dimension (min(M,N)). The scalar factors of the elementary reflectors corresponding to the QR factorization in AF. 🌈
• WORK — WORK is COMPLEX array, dimension (LWORK). Workspace says hi 💜
• LWORK — LWORK is INTEGER. The length of WORK. LWORK must be at least M, and should be M*NB, where NB is the blocksize for this environment. ⭐
• RWORK — RWORK is REAL array, dimension (M). Real array, real useful, real (M) 🍓
• RESULT — RESULT is REAL array, dimension (4). The test ratios compare two techniques for multiplying a random matrix C by an m-by-m orthogonal matrix Q.

RESULT(1) = norm( Q*C - Q*C )  / ( M * norm(C) * EPS )
RESULT(2) = norm( C*Q - C*Q )  / ( M * norm(C) * EPS )
RESULT(3) = norm( Q'*C - Q'*C )/ ( M * norm(C) * EPS )
RESULT(4) = norm( C*Q' - C*Q' )/ ( M * norm(C) * EPS )

👑 Author 👑

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

📌 Definition at line 134 of file cqrt03.f.

Yep, that's literally where she's defined: line 134 of file cqrt03.f 💀✨

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