epsfin(1)

NAME
epsfin - reduced pencil

CALLING SEQUENCE
[Er,Ar,Q,Z]=epsfin(F)
[Er,Ar,Q,Z]=epsfin(E,A)

PARAMETERS

F   : real matrix pencil F=s*E-A

E,A : two real matrices of same dimensions

Q,Z : two orthogonal matrices (not necessarily square)

Er,Ar
    : two real matrices of same dimensions (reduced pencil)

DESCRIPTION
Returns the epsilon + finite part of the pencil F=sE-A.

Er=Q*E*Z, Ar=Q*A*Z has only epsilon and finite Kronecker invariants and Er is full row rank.

Z : right subspace associated with epsilon and finite part of the pencil

For a regular pencil Z spans the right finite eigenspace.

AUTHOR
F. D. & R. N.

SEE ALSO
kroneck, pencan, fineta