proj

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.

Examples



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.; ;