CUNM2R(3)

💅 CUNM2R(3) — from the Library Functions Manual ✨

🌸 NAME

okay so bestie, this is the source file, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/cunm2r.f

🦋 SYNOPSIS

🎀 Functions/Subroutines

   subroutine CUNM2R (side, trans, m, n, k, a, lda, tau, c, ldc, work,
       info)

CUNM2R multiplies a general matrix by the unitary matrix from a QR factorization determined by cgeqrf (unblocked algorithm).

🔥 Function/Subroutine Documentation

✨ subroutine CUNM2R

   subroutine CUNM2R (character side, character trans, integer m, integer n,
       integer k, complex, dimension( lda, * ) a, integer lda, complex,
       dimension( * ) tau, complex, dimension( ldc, * ) c, integer ldc,
       complex, dimension( * ) work, integer info)

CUNM2R multiplies a general matrix by the unitary matrix from a QR factorization determined by cgeqrf (unblocked algorithm).

💫 Purpose:

Okay so CUNM2R overwrites the general complex m-by-n matrix C with:

       Q * C  if SIDE = 'L' and TRANS = 'N', or

       Q**H* C  if SIDE = 'L' and TRANS = 'C', or

       C * Q  if SIDE = 'R' and TRANS = 'N', or

       C * Q**H if SIDE = 'R' and TRANS = 'C',

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

       Q = H(1) H(2) . . . H(k)

as returned by CGEQRF. Q is of order m if SIDE = 'L' and of order n if SIDE = 'R'.

🎛️ Parameters

vibe check on every single argument, bestie — nothing skipped, periodt:

• SIDE — SIDE is CHARACTER*1
  • = 'L': apply Q or Q**H from the Left
  • = 'R': apply Q or Q**H from the Right
• TRANS — TRANS is CHARACTER*1
  • = 'N': apply Q (No transpose)
  • = 'C': apply Q**H (Conjugate transpose)
• M — M is INTEGER — the number of rows of the matrix C. M >= 0.
• N — N is INTEGER — the number of columns of the matrix C. N >= 0.
• K — K is INTEGER — the number of elementary reflectors whose product defines the matrix Q. If SIDE = 'L', M >= K >= 0; if SIDE = 'R', N >= K >= 0.
• A — A is COMPLEX array, dimension (LDA,K) — the i-th column must contain the vector which defines the elementary reflector H(i), for i = 1,2,...,k, as returned by CGEQRF in the first k columns of its array argument A. A is modified by the routine but restored on exit.
• LDA — LDA is INTEGER — the leading dimension of the array A. If SIDE = 'L', LDA >= max(1,M); if SIDE = 'R', LDA >= max(1,N).
• TAU — TAU is COMPLEX array, dimension (K) — TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by CGEQRF.
• C — C is COMPLEX array, dimension (LDC,N) — on entry, the m-by-n matrix C. On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q.
• LDC — LDC is INTEGER — the leading dimension of the array C. LDC >= max(1,M).
• WORK — WORK is COMPLEX array, dimension
  • (N) if SIDE = 'L',
  • (M) if SIDE = 'R'
• 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.

Definition at line 157 of file cunm2r.f.

🌟 Author

Generated automatically by Doxygen for LAPACK from the source code.

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