File: proj.cat

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proj(1)                        Scilab Function                        proj(1)
NAME
  proj - projection

CALLING SEQUENCE
  P = proj(X1,X2)

PARAMETERS

  X1,X2       : two real matrices with equal number of columns

  P           : real projection matrix (P^2=P)

DESCRIPTION
  P is the projection on X2 parallel to X1.

EXAMPLE
  X1=rand(5,2);X2=rand(5,3);
  P=proj(X1,X2);
  norm(P^2-P,1)
  trace(P)    // This is dim(X2)
  [Q,M]=fullrf(P);
  svd([Q,X2])   // span(Q) = span(X2)

SEE ALSO
  projspec, orth, fullrf

AUTHOR
  F. D.