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Справка Scilab >> Linear Algebra > Matrix Analysis > orth

orth

orthogonal basis

Syntax

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:
Tue Feb 14 15:13:21 CET 2017