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Please note that the recommended version of Scilab is 6.0.0. This page might be outdated.
See the recommended documentation of this function

Справка Scilab >> Linear Algebra > Matrix Analysis > orth

orth

orthogonal basis

Calling Sequence

Q=orth(A)

Arguments

A

real or complex matrix

Q

real or complex matrix

Description

Q=orth(A) 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 — QR decomposition
  • rowcomp — row compression, range
  • colcomp — column compression, kernel, nullspace
  • range — range (span) of A^k
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Last updated:
Thu Oct 02 14:01:05 CEST 2014