clartv (l) - Linux Manuals

clartv: applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y

NAME

CLARTV - applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y

SYNOPSIS

SUBROUTINE CLARTV(
N, X, INCX, Y, INCY, C, S, INCC )

    
INTEGER INCC, INCX, INCY, N

    
REAL C( * )

    
COMPLEX S( * ), X( * ), Y( * )

PURPOSE

CLARTV applies a vector of complex plane rotations with real cosines to elements of the complex vectors x and y. For i = 1,2,...,n
( x(i) ) := (        c(i)   s(i) ) ( x(i) )

( y(i) )    ( -conjg(s(i))  c(i) ) ( y(i) )

ARGUMENTS

N (input) INTEGER
The number of plane rotations to be applied.
X (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
The vector x.
INCX (input) INTEGER
The increment between elements of X. INCX > 0.
Y (input/output) COMPLEX array, dimension (1+(N-1)*INCY)
The vector y.
INCY (input) INTEGER
The increment between elements of Y. INCY > 0.
C (input) REAL array, dimension (1+(N-1)*INCC)
The cosines of the plane rotations.
S (input) COMPLEX array, dimension (1+(N-1)*INCC)
The sines of the plane rotations.
INCC (input) INTEGER
The increment between elements of C and S. INCC > 0.

Pages related to clartv

  • clartv (3)
  • clartg (l) - generates a plane rotation so that [ CS SN ] [ F ] [ R ] [ __ ]
  • clar1v (l) - computes the (scaled) r-th column of the inverse of the sumbmatrix in rows B1 through BN of the tridiagonal matrix L D L^T - sigma I
  • clar2v (l) - applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices,
  • clarcm (l) - performs a very simple matrix-matrix multiplication
  • clarf (l) - applies a complex elementary reflector H to a complex M-by-N matrix C, from either the left or the right
  • clarfb (l) - applies a complex block reflector H or its transpose Haq to a complex M-by-N matrix C, from either the left or the right
  • clarfg (l) - generates a complex elementary reflector H of order n, such that Haq * ( alpha ) = ( beta ), Haq * H = I
  • clarfp (l) - generates a complex elementary reflector H of order n, such that Haq * ( alpha ) = ( beta ), Haq * H = I
  • clarft (l) - forms the triangular factor T of a complex block reflector H of order n, which is defined as a product of k elementary reflectors