File: orth.cat

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orth(1)                        Scilab Function                        orth(1)
NAME
  orth - orthogonal basis

CALLING SEQUENCE
  Q=orth(A)

PARAMETERS

  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 algo-
  rithm.

EXAMPLE
  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