proj - Projection (original) (raw)

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Scilab help >> Linear Algebra > proj

projection

Calling Sequence

P = proj(X1,X2)

Arguments

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 — spectral operators
• orth — orthogonal basis
• fullrf — full rank factorization

Authors

F. D.; ;