clar2v (l) - Linux Manuals

clar2v: applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices,

NAME

CLAR2V - applies a vector of complex plane rotations with real cosines from both sides to a sequence of 2-by-2 complex Hermitian matrices,

SYNOPSIS

SUBROUTINE CLAR2V(
N, X, Y, Z, INCX, C, S, INCC )

    
INTEGER INCC, INCX, N

    
REAL C( * )

    
COMPLEX S( * ), X( * ), Y( * ), Z( * )

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)  )

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; the elements of x are assumed to be real.
Y (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
The vector y; the elements of y are assumed to be real.
Z (input/output) COMPLEX array, dimension (1+(N-1)*INCX)
The vector z.
INCX (input) INTEGER
The increment between elements of X, Y and Z. INCX > 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 clar2v

  • clar2v (3)
  • 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
  • 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
  • clarfx (l) - applies a complex elementary reflector H to a complex m by n matrix C, from either the left or the right
  • clargv (l) - generates a vector of complex plane rotations with real cosines, determined by elements of the complex vectors x and y