/home/abui...D/clatzm.f(3)
πΈ NAME πΈ
Hey bestie π welcome to the clatzm.f(3) page from the Library Functions Manual. This is the manual entry for /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/DEPRECATED/clatzm.f β yes, the whole long path, we keep it exact fr fr.
β¨ SYNOPSIS β¨
π§ Functions/Subroutines π§
subroutine CLATZM (side, m, n, v, incv, tau, c1, c2, ldc, work)βCLATZM(the routine itself, no cap)
π Function/Subroutine Documentation π
Okay so here's the whole signature, copied exactly because we do not play with literal code around here:
subroutine CLATZM (character side, integer m, integer n, complex, dimension(
* ) v, integer incv, complex tau, complex, dimension( ldc, * ) c1,
complex, dimension( ldc, * ) c2, integer ldc, complex, dimension( * )
work)
CLATZM
π Purpose π
β οΈ Deprecated alert, bestie: this routine is deprecated and has been replaced by routine CUNMRZ. That's the vibe check. π
CLATZM applies a Householder matrix generated by CTZRQF to a matrix. Slay.
Let
P = I - tau*u*u**H, u = ( 1 ),
( v )
where v is an (m-1) vector if SIDE = 'L', or a (n-1) vector if SIDE = 'R'.
If SIDE equals 'L', let
C = [ C1 ] 1
[ C2 ] m-1
n
Then C is overwritten by P*C. Periodt.
If SIDE equals 'R', let
C = [ C1, C2 ] m
1 n-1
Then C is overwritten by C*P. No cap.
π Parameters π
π SIDE
SIDE is CHARACTER*1
= 'L': formP * C= 'R': formC * P
π M
M is INTEGER
The number of rows of the matrix C.
π N
N is INTEGER
The number of columns of the matrix C.
π V
V is COMPLEX array, dimension
(1 + (M-1)*abs(INCV)) if SIDE = 'L'
(1 + (N-1)*abs(INCV)) if SIDE = 'R'
The vector v in the representation of P. V is not used if TAU = 0.
π INCV
INCV is INTEGER
The increment between elements of v. INCV <> 0.
π TAU
TAU is COMPLEX
The value tau in the representation of P.
π C1
C1 is COMPLEX array, dimension
(LDC,N) if SIDE = 'L'
(M,1) if SIDE = 'R'
On entry, the n-vector C1 if SIDE = 'L', or the m-vector C1 if SIDE = 'R'.
On exit, the first row of P*C if SIDE = 'L', or the first column of C*P if SIDE = 'R'.
π C2
C2 is COMPLEX array, dimension
(LDC, N) if SIDE = 'L'
(LDC, N-1) if SIDE = 'R'
On entry, the (m - 1) x n matrix C2 if SIDE = 'L', or the m x (n - 1) matrix C2 if SIDE = 'R'.
On exit, rows 2:m of P*C if SIDE = 'L', or columns 2:m of C*P if SIDE = 'R'.
π LDC
LDC is INTEGER
The leading dimension of the arrays C1 and C2. LDC >= max(1,M).
π WORK
WORK is COMPLEX array, dimension
(N) if SIDE = 'L'
(M) if SIDE = 'R'
π Author π
The institutions behind this absolute icon, ngl:
Univ. of TennesseeUniv. of California BerkeleyUniv. of Colorado DenverNAG Ltd.
Definition at line 151 of file clatzm.f.
π§ Author π§
Generated automatically by Doxygen for LAPACK from the source code.
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