givens¶

Givens transformation

Calling Sequence¶

U=givens(xy)
U=givens(x,y)
[U,c]=givens(xy)
[U,c]=givens(x,y)

: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 :

U= givens(x, y) or U = givens(xy) with xy = [x;y] returns a 2`x `2 unitary matrix U such that:

U*xy=[r;0]=c.

Note that givens(x,y) and givens([x;y]) are equivalent.

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