orth - orthogonal basis

Calling Sequence

Q=orth(A)

Parameters

• A : real or complex matrix
• Q : real or complex matrix

Description

returns Q, an orthogonal basis for the span of A. Range(Q) = Range(A) and Q'*Q=eye.

The number of columns of Q is the rank of A as determined by the QR algorithm.

Examples

A=rand(5,3)*rand(3,4);
[X,dim]=rowcomp(A);X=X';
svd([orth(A),X(:,1:dim)])
 

See Also

qr  rowcomp  colcomp  range