CQRT11(3)

💖 CQRT11(3) — Library Functions Manual 💖

okay so bestie, welcome to CQRT11(3) from the Library Functions Manual ✨. This page is about the file /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cqrt11.f, and we are keeping every technical deet intact while making it less “manpage from 2003” and more “group chat with your favorite Unix goblin” 🫶.

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/cqrt11.f — that’s the path, no cap. The function is CQRT11, and we’re about to vibe through it 💅.

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

• real function CQRT11 (m, k, a, lda, tau, work, lwork) — CQRT11.

🎀 Function/Subroutine Documentation 🎀

real function CQRT11 (integer m, integer k, complex, dimension( lda, * ) a, integer lda, complex, dimension( * ) tau, complex, dimension( lwork ) work, integer lwork)

CQRT11

💖 Purpose 💖

okay so CQRT11 computes the test ratio:

|| Q'*Q - I || / (eps * m)

where the orthogonal matrix Q is represented as a product of elementary transformations. Each transformation has the form:

H(k) = I - tau(k) v(k) v(k)'

where tau(k) is stored in TAU(k), and v(k) is an m-vector of the form [ 0 ... 0 1 x(k) ]', where x(k) is a vector of length m-k stored in A(k+1:m,k). That’s the whole purpose, and it ate 💅.

🌸 Parameters 🌸

• M — M is INTEGER, and it’s the number of rows of the matrix A.
• K — K is INTEGER, and it’s the number of columns of A whose subdiagonal entries contain information about orthogonal transformations.
• A — A is COMPLEX array, dimension (LDA,K), and it’s the (possibly partial) output of a QR reduction routine.
• LDA — LDA is INTEGER, the leading dimension of the array A.
• TAU — TAU is COMPLEX array, dimension (K). These are the scaling factors tau for the elementary transformations as computed by the QR factorization routine.
• WORK — WORK is COMPLEX array, dimension (LWORK).
• LWORK — LWORK is INTEGER, the length of the array WORK. Requirement: LWORK >= M*M + M.

👑 Author 👑

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

Definition at line 97 of file cqrt11.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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