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Scilab manual >> Linear Algebra > fullrfk

fullrfk

full rank factorization of A^k

Calling Sequence

[Bk,Ck]=fullrfk(A,k)

Arguments

A

real or complex matrix

k

integer

Bk,Ck

real or complex matrices

Description

This function computes the full rank factorization of A^k i.e. Bk*Ck=A^k where Bk is full column rank and Ck full row rank. One has range(Bk)=range(A^k) and ker(Ck)=ker(A^k).

For k=1, fullrfk is equivalent to fullrf.

Examples

A=rand(5,2)*rand(2,5);[Bk,Ck]=fullrfk(A,3);
norm(Bk*Ck-A^3,1)

See Also

Authors

F.D (1990);

<< fullrf Linear Algebra genmarkov >>

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Last updated:
Wed Jan 26 16:23:41 CET 2011