SRC/dlar2v.f(3)

NAME
SRC/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 (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.

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.

Definition at line 109 of file dlar2v.f.

Author

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