# dlar2v(3) [centos man page]

dlar2v.f(3) LAPACK dlar2v.f(3)NAME

dlar2v.f-SYNOPSIS

Functions/Subroutines subroutine dlar2v (N, X, Y, Z, INCX, C, S, INCC) DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.Function/Subroutine Documentation subroutine dlar2v (integerN, double precision, dimension( * )X, double precision, dimension( * )Y, double precision, dimension( * )Z, integerINCX, double precision, dimension( * )C, double precision, dimension( * )S, integerINCC) DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Purpose: DLAR2V applies a vector of real plane rotations from both sides to a sequence of 2-by-2 real symmetric matrices, defined by the elements of the vectors x, y and z. For i = 1,2,...,n ( x(i) z(i) ) := ( c(i) s(i) ) ( x(i) z(i) ) ( c(i) -s(i) ) ( z(i) y(i) ) ( -s(i) c(i) ) ( z(i) y(i) ) ( s(i) c(i) ) Parameters: N N is INTEGER The number of plane rotations to be applied. X X is DOUBLE PRECISION array, dimension (1+(N-1)*INCX) The vector x. Y Y is DOUBLE PRECISION array, dimension (1+(N-1)*INCX) The vector y. Z Z is DOUBLE PRECISION array, dimension (1+(N-1)*INCX) The vector z. INCX INCX is INTEGER The increment between elements of X, Y and Z. INCX > 0. C C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC) The cosines of the plane rotations. S S is DOUBLE PRECISION array, dimension (1+(N-1)*INCC) The sines of the plane rotations. INCC INCC is INTEGER The increment between elements of C and S. INCC > 0. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 111 of file dlar2v.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 dlar2v.f(3)

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zlar2v.f(3) LAPACK zlar2v.f(3)NAME

zlar2v.f-SYNOPSIS

Functions/Subroutines subroutine zlar2v (N, X, Y, Z, INCX, C, S, INCC) ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices.Function/Subroutine Documentation subroutine zlar2v (integerN, complex*16, dimension( * )X, complex*16, dimension( * )Y, complex*16, dimension( * )Z, integerINCX, double precision, dimension( * )C, complex*16, dimension( * )S, integerINCC) ZLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. Purpose: ZLAR2V applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices, defined by the elements of the vectors x, y and z. For i = 1,2,...,n ( x(i) z(i) ) := ( conjg(z(i)) y(i) ) ( c(i) conjg(s(i)) ) ( x(i) z(i) ) ( c(i) -conjg(s(i)) ) ( -s(i) c(i) ) ( conjg(z(i)) y(i) ) ( s(i) c(i) ) Parameters: N N is INTEGER The number of plane rotations to be applied. X X is COMPLEX*16 array, dimension (1+(N-1)*INCX) The vector x; the elements of x are assumed to be real. Y Y is COMPLEX*16 array, dimension (1+(N-1)*INCX) The vector y; the elements of y are assumed to be real. Z Z is COMPLEX*16 array, dimension (1+(N-1)*INCX) The vector z. INCX INCX is INTEGER The increment between elements of X, Y and Z. INCX > 0. C C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC) The cosines of the plane rotations. S S is COMPLEX*16 array, dimension (1+(N-1)*INCC) The sines of the plane rotations. INCC INCC is INTEGER The increment between elements of C and S. INCC > 0. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: September 2012 Definition at line 112 of file zlar2v.f.AuthorGenerated automatically by Doxygen for LAPACK from the source code.Version 3.4.2Tue Sep 25 2012 zlar2v.f(3)