File: givens.cat

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givens            Scilab Group            Scilab Function            givens
NAME
   givens - Givens transformation
  
CALLING SEQUENCE
 U=givens(xy)
 U=givens(x,y)
 [U,c]=givens(xy)
 [U,c]=givens(x,y)
PARAMETERS
 x,y   : two real or complex numbers
       
 xy    :  real or complex size 2 column vector
       
 U     : 2x2 unitary matrix
       
 c     :  real or complex size 2 column vector
       
DESCRIPTION
   U = givens(x, y) or U = givens(xy) with xy = [x;y] returns a 2x2 unitary
  matrix U such that:
  
   U*xy=[r;0]=c.
  
   Note that givens(x,y) and givens([x;y]) are equivalent.
  
EXAMPLE
 A=[3,4;5,6];
 U=givens(A(:,1));
 U*A
SEE ALSO
   qr