zlarf(3) [debian man page]
zlarf.f(3) LAPACK zlarf.f(3) NAME
zlarf.f - SYNOPSIS
Functions/Subroutines subroutine zlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) ZLARF Function/Subroutine Documentation subroutine zlarf (characterSIDE, integerM, integerN, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C, integerLDC, complex*16, dimension( * )WORK) ZLARF Purpose: ZLARF applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right. H is represented in the form H = I - tau * v * v**H where tau is a complex scalar and v is a complex vector. If tau = 0, then H is taken to be the unit matrix. To apply H**H, supply conjg(tau) instead tau. Parameters: SIDE SIDE is CHARACTER*1 = 'L': form H * C = 'R': form C * H M M is INTEGER The number of rows of the matrix C. N N is INTEGER The number of columns of the matrix C. V V is COMPLEX*16 array, dimension (1 + (M-1)*abs(INCV)) if SIDE = 'L' or (1 + (N-1)*abs(INCV)) if SIDE = 'R' The vector v in the representation of H. V is not used if TAU = 0. INCV INCV is INTEGER The increment between elements of v. INCV <> 0. TAU TAU is COMPLEX*16 The value tau in the representation of H. C C is COMPLEX*16 array, dimension (LDC,N) On entry, the M-by-N matrix C. On exit, C is overwritten by the matrix H * C if SIDE = 'L', or C * H if SIDE = 'R'. LDC LDC is INTEGER The leading dimension of the array C. LDC >= max(1,M). WORK WORK is COMPLEX*16 array, dimension (N) if SIDE = 'L' or (M) if SIDE = 'R' Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 129 of file zlarf.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 zlarf.f(3)
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zlatzm.f(3) LAPACK zlatzm.f(3) NAME
zlatzm.f - SYNOPSIS
Functions/Subroutines subroutine zlatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK) ZLATZM Function/Subroutine Documentation subroutine zlatzm (characterSIDE, integerM, integerN, complex*16, dimension( * )V, integerINCV, complex*16TAU, complex*16, dimension( ldc, * )C1, complex*16, dimension( ldc, * )C2, integerLDC, complex*16, dimension( * )WORK) ZLATZM Purpose: This routine is deprecated and has been replaced by routine ZUNMRZ. ZLATZM applies a Householder matrix generated by ZTZRQF to a matrix. 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. If SIDE equals 'R', let C = [ C1, C2 ] m 1 n-1 Then C is overwritten by C*P. Parameters: SIDE SIDE is CHARACTER*1 = 'L': form P * C = 'R': form C * P M M is INTEGER The number of rows of the matrix C. N N is INTEGER The number of columns of the matrix C. V V is COMPLEX*16 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. INCV INCV is INTEGER The increment between elements of v. INCV <> 0 TAU TAU is COMPLEX*16 The value tau in the representation of P. C1 C1 is COMPLEX*16 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'. C2 C2 is COMPLEX*16 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'. LDC LDC is INTEGER The leading dimension of the arrays C1 and C2. LDC >= max(1,M). WORK WORK is COMPLEX*16 array, dimension (N) if SIDE = 'L' (M) if SIDE = 'R' Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 153 of file zlatzm.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 zlatzm.f(3)