givens
Givens transformation
Syntax
U=givens(xy) U=givens(x,y) [U,c]=givens(xy) [U,c]=givens(x,y)
Arguments
- 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
See also
- qr — QR decomposition
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