/home/abui.../cgemlqt.f(3)

💖 NAME 💖

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/cgemlqt.f — okay bestie, this is the Library Functions Manual page for /home/abui.../cgemlqt.f(3), and it's all about the CGEMLQT subroutine. ✨

✨ SYNOPSIS ✨

Functions/Subroutines

subroutine CGEMLQT (side, trans, m, n, k, mb, v, ldv, t, ldt, c, ldc,
           work, info)

And that's the synopsis — the main character here is CGEMLQT. 💅

🌸 Function/Subroutine Documentation 🌸

Here's the full signature, exactly as it shows up:

subroutine CGEMLQT (character side, character trans, integer m, integer n,
    integer k, integer mb, complex, dimension( ldv, * ) v, integer ldv,
    complex, dimension( ldt, * ) t, integer ldt, complex, dimension( ldc, *
    ) c, integer ldc, complex, dimension( * ) work, integer info)

CGEMLQT

🎀 Purpose 🎀

CGEMLQT overwrites the general complex M-by-N matrix C with:

                SIDE = 'L'     SIDE = 'R'
TRANS = 'N':      Q C            C Q
TRANS = 'C':   Q**H C            C Q**H

where Q is a complex unitary matrix defined as the product of K elementary reflectors:

Q = H(1) H(2) . . . H(K) = I - V T V**H

generated using the compact WY representation as returned by CGELQT. Q is of order M if SIDE = 'L' and of order N if SIDE = 'R'. 👑

🌈 Parameters 🌈

• SIDE — CHARACTER*1. 'L': apply Q or QH from the Left; 'R': apply Q or QH from the Right.
• TRANS — CHARACTER*1. 'N': No transpose, apply Q; 'C': Conjugate transpose, apply Q**H.
• M — INTEGER. The number of rows of the matrix C. M >= 0.
• N — INTEGER. The number of columns of the matrix C. N >= 0.
• K — INTEGER. The number of elementary reflectors whose product defines the matrix Q. If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0.
• MB — INTEGER. The block size used for the storage of T. K >= MB >= 1. This must be the same value of MB used to generate T in CGELQT.
• V — COMPLEX array, dimension (LDV,M) if SIDE = 'L', (LDV,N) if SIDE = 'R'. The i-th row must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CGELQT in the first K rows of its array argument A.
• LDV — INTEGER. The leading dimension of the array V. LDV >= max(1,K).
• T — COMPLEX array, dimension (LDT,K). The upper triangular factors of the block reflectors as returned by CGELQT, stored as a MB-by-K matrix.
• LDT — INTEGER. The leading dimension of the array T. LDT >= MB.
• C — COMPLEX array, dimension (LDC,N). On entry, the M-by-N matrix C. On exit, C is overwritten by Q C, Q**H C, C Q**H or C Q.
• LDC — INTEGER. The leading dimension of the array C. LDC >= max(1,M).
• WORK — COMPLEX array. The dimension of WORK is N*MB if SIDE = 'L', or M*MB if SIDE = 'R'.
• INFO — 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.

Definition at line 151 of file cgemlqt.f.

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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And that's the whole page, bestie! 💖 Signed off with LAPACK — Version 3.12.0 — and the footer path /home/abui.../cgemlqt.f(3). 🎀✨