LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ dlar2v()

subroutine dlar2v ( integer n,
double precision, dimension( * ) x,
double precision, dimension( * ) y,
double precision, dimension( * ) z,
integer incx,
double precision, dimension( * ) c,
double precision, dimension( * ) s,
integer 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.

Download DLAR2V + dependencies [TGZ] [ZIP] [TXT]

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
[in]N
!>          N is INTEGER
!>          The number of plane rotations to be applied.
!> 
[in,out]X
!>          X is DOUBLE PRECISION array,
!>                         dimension (1+(N-1)*INCX)
!>          The vector x.
!> 
[in,out]Y
!>          Y is DOUBLE PRECISION array,
!>                         dimension (1+(N-1)*INCX)
!>          The vector y.
!> 
[in,out]Z
!>          Z is DOUBLE PRECISION array,
!>                         dimension (1+(N-1)*INCX)
!>          The vector z.
!> 
[in]INCX
!>          INCX is INTEGER
!>          The increment between elements of X, Y and Z. INCX > 0.
!> 
[in]C
!>          C is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
!>          The cosines of the plane rotations.
!> 
[in]S
!>          S is DOUBLE PRECISION array, dimension (1+(N-1)*INCC)
!>          The sines of the plane rotations.
!> 
[in]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.