pinv

Arguments

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 — rank
• svd — singular value decomposition
• qr — QR decomposition

Used Functions

pinv function is based on the singular value decomposition (Scilab function svd).