pinv

pinv — pseudoinverse

Calling sequence

pinv(A,[tol])  

Parameters

A : real or complex matrix
tol : real number

Description

X = pinv(A) produces a matrix X of the same dimensions as A' such that:

A*X*A = A, X*A*X = X and both A*X and X*A are Hermitian .

The computation is based on SVD and any singular values lower than a tolerance are treated as zero: this tolerance is accessed by X=pinv(A,tol).

Examples



A=rand(5,2)*rand(2,4);
norm(A*pinv(A)*A-A,1)
 
  

See also

rank, svd, qr