File: proj.cat

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scilab 2.6-4
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proj             Scilab Group             Scilab Function              proj
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.