slar2v.f (3) - Linux Manuals

NAME

slar2v.f -

SYNOPSIS


Functions/Subroutines


subroutine slar2v (N, X, Y, Z, INCX, C, S, INCC)
SLAR2V 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 slar2v (integerN, real, dimension( * )X, real, dimension( * )Y, real, dimension( * )Z, integerINCX, real, dimension( * )C, real, dimension( * )S, integerINCC)

SLAR2V 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:

 SLAR2V 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 REAL array,
                         dimension (1+(N-1)*INCX)
          The vector x.


Y

          Y is REAL array,
                         dimension (1+(N-1)*INCX)
          The vector y.


Z

          Z is REAL 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 REAL array, dimension (1+(N-1)*INCC)
          The cosines of the plane rotations.


S

          S is REAL 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 slar2v.f.

Author

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