Givens transformation
U=givens(xy) U=givens(x,y) [U,c]=givens(xy) [U,c]=givens(x,y)
two real or complex numbers
real or complex size 2 column vector
2x2 unitary matrix
real or complex size 2 column vector
U= givens(x, y)
or U = givens(xy)
with xy = [x;y]
returns a 2
x2
unitary matrix U
such that:
U*xy=[r;0]=c
.
![]() | Note that givens(x,y) and givens([x;y]) are equivalent. |