clar2v-f(3)

clar2v.f –

Synopsis

Functions/Subroutines

subroutine clar2v (N, X, Y, Z, INCX, C, S, INCC)
CLAR2V 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 clar2v (integerN, complex, dimension( * )X, complex, dimension( * )Y, complex, dimension( * )Z, integerINCX, real, dimension( * )C, complex, dimension( * )S, integerINCC)

CLAR2V 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:

 CLAR2V 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 array, dimension (1+(N-1)*INCX)
 The vector x; the elements of x are assumed to be real.

Y

 Y is COMPLEX array, dimension (1+(N-1)*INCX)
 The vector y; the elements of y are assumed to be real.

Z

 Z is COMPLEX 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 COMPLEX 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 clar2v.f.

Author

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