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.
Examples
A=[3,4;5,6];
U=givens(A(:,1));
U*A