Application of block Cayley-Hamilton theorem to generalized inversion

Predrag Stanimirović, Aleksandar S. Randjelovic

DOI Number
-
First page
209
Last page
232

Abstract


In this paper we propose two algorithms for computation of the outer inverse with prescribed range and null space and the Drazin inverse of block matrix. The proposed algorithms are based on the extension of the Leverrier-Faddeev algorithm and the block Cayley-Hamilton theorem. These algorithms are implemented using symbolic and functional possibilities of the packages {\it Mathematica} and using numerical possibilities of {\it Matlab}.

Keywords


Block Cayley Hamilton; generalized inversion; Kronecker product; Leverrier-Faddeev algorithm.

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