ZGERQ2(3)

okay bestie, welcome to the Library Functions Manual page for /home/abui...RC/zgerq2.f(3) 💖 the full source path is /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zgerq2.f, and this whole page is about ZGERQ2. no cap, she is very much iconic. 🎀

💅 NAME

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zgerq2.f

That's the file/page name, bestie — keep it exact. ✨

✨ SYNOPSIS

Functions/Subroutines

subroutine ZGERQ2 (m, n, a, lda, tau, work, info)
    ZGERQ2 computes the RQ factorization of a general rectangular matrix
    using an unblocked algorithm.

🎀 Function/Subroutine Documentation

subroutine ZGERQ2 (integer m, integer n, complex*16, dimension( lda, * ) a,
    integer lda, complex*16, dimension( * ) tau, complex*16, dimension( * )
    work, integer info)

ZGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm. periodt. 💅

🌸 Purpose

!>
!> ZGERQ2 computes an RQ factorization of a complex m by n matrix A:
!> A = R * Q.
!>

That's the whole purpose, bestie: it splits A into R * Q. iconic math behavior. 🌈

🌈 Parameters

• M — M is INTEGER. The number of rows of the matrix A. M >= 0.
• N — N is INTEGER. The number of columns of the matrix A. N >= 0.
• A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the m by n matrix A. On exit, if m <= n, the upper triangle of the subarray A(1:m,n-m+1:n) contains the m by m upper triangular matrix R; if m >= n, the elements on and above the (m-n)-th subdiagonal contain the m by n upper trapezoidal matrix R; the remaining elements, with the array TAU, represent the unitary matrix Q as a product of elementary reflectors (see Further Details).
• LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,M).
• TAU — TAU is COMPLEX*16 array, dimension (min(M,N)). The scalar factors of the elementary reflectors (see Further Details).
• WORK — WORK is COMPLEX*16 array, dimension (M).
• INFO — INFO is INTEGER

= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal value

👑 Author

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

🧚 Further Details

!>
!>  The matrix Q is represented as a product of elementary reflectors
!>
!>     Q = H(1)**H H(2)**H . . . H(k)**H, where k = min(m,n).
!>
!>  Each H(i) has the form
!>
!>     H(i) = I - tau * v * v**H
!>
!>  where tau is a complex scalar, and v is a complex vector with
!>  v(n-k+i+1:n) = 0 and v(n-k+i) = 1; conjg(v(1:n-k+i-1)) is stored on
!>  exit in A(m-k+i,1:n-k+i-1), and tau in TAU(i).
!>

Definition at line 122 of file zgerq2.f. 📌

👑 Author

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and that's the whole vibe 🫶 this page is from LAPACK, Version 3.12.0, and the footer path is /home/abui...RC/zgerq2.f(3). mwah 💋✨