A deflation method for regular matrix pencils
Applied Mathematics and Computation Vol. 218, Nº 6, pp. 2913 - 2920, November, 2011.
ISSN (print): 1873-5649
ISSN (online): 0096-3003
Journal Impact Factor: 1,551 (in 2014)
Digital Object Identifier: 10.1016/j.amc.2011.08.034
A generalization of the concept of eigenvalue is introduced for a matrix pencil and it is called eigenpencil; an eigenpencil is a pencil itself and it contains part of the spectral information of the matrix pencil. A Wielandt type deflation procedure for regular matrix pencils is developed, using eigenpencils and supposing that they can have both finite and infinite eigenvalues. A numerical example illustrates the proposed method.