# clarfg.f(3) [centos man page]

clarfg.f(3) LAPACK clarfg.f(3)NAME

clarfg.f-SYNOPSIS

Functions/Subroutines subroutine clarfg (N, ALPHA, X, INCX, TAU) CLARFG generates an elementary reflector (Householder matrix).Function/Subroutine Documentation subroutine clarfg (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU) CLARFG generates an elementary reflector (Householder matrix). Purpose: CLARFG generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, with beta real, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Otherwise 1 <= real(tau) <= 2 and abs(tau-1) <= 1 . Parameters: N N is INTEGER The order of the elementary reflector. ALPHA ALPHA is COMPLEX On entry, the value alpha. On exit, it is overwritten with the value beta. X X is COMPLEX array, dimension (1+(N-2)*abs(INCX)) On entry, the vector x. On exit, it is overwritten with the vector v. INCX INCX is INTEGER The increment between elements of X. INCX > 0. TAU TAU is COMPLEX The value tau. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 107 of file clarfg.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 clarfg.f(3)

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clarfgp.f(3) LAPACK clarfgp.f(3)NAME

clarfgp.f-SYNOPSIS

Functions/Subroutines subroutine clarfgp (N, ALPHA, X, INCX, TAU) CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta.Function/Subroutine Documentation subroutine clarfgp (integerN, complexALPHA, complex, dimension( * )X, integerINCX, complexTAU) CLARFGP generates an elementary reflector (Householder matrix) with non-negatibe beta. Purpose: CLARFGP generates a complex elementary reflector H of order n, such that H**H * ( alpha ) = ( beta ), H**H * H = I. ( x ) ( 0 ) where alpha and beta are scalars, beta is real and non-negative, and x is an (n-1)-element complex vector. H is represented in the form H = I - tau * ( 1 ) * ( 1 v**H ) , ( v ) where tau is a complex scalar and v is a complex (n-1)-element vector. Note that H is not hermitian. If the elements of x are all zero and alpha is real, then tau = 0 and H is taken to be the unit matrix. Parameters: N N is INTEGER The order of the elementary reflector. ALPHA ALPHA is COMPLEX On entry, the value alpha. On exit, it is overwritten with the value beta. X X is COMPLEX array, dimension (1+(N-2)*abs(INCX)) On entry, the vector x. On exit, it is overwritten with the vector v. INCX INCX is INTEGER The increment between elements of X. INCX > 0. TAU TAU is COMPLEX The value tau. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 105 of file clarfgp.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 clarfgp.f(3)