A new proof for Decell's finite algorithm for generalized inverses

Author:

Kalaba Robert,Rasakhoo Nima,Tishler Asher,Wang Jia Song

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference9 articles.

1. Introduction to Higher Algebra;Bôcher,1907

2. An application of the Cayley-Hamilton theorem to generalized matrix inversion;Decell;SIAM Review,1965

3. Numerical Methods in Linear Algebra;Faddeev,1959

4. R. Kalaba and N. Rasakhoo, An algorithm for generalized inverses, unpublished manuscript.

5. Solving Least Squares Problems;Lawson,1974

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1. Computational Aspects;Generalized Inverses: Theory and Computations;2018

2. On the Leverrier-Faddeev algorithm for computing the Moore-Penrose inverse;Journal of Applied Mathematics and Computing;2009-10-03

3. Extensions of Faddeev’s algorithms to polynomial matrices;Applied Mathematics and Computation;2009-08

4. A finite algorithm for the Drazin inverse of a polynomial matrix;Applied Mathematics and Computation;2002-08

5. Finite algorithms for the (2)-generalized inverse;Linear and Multilinear Algebra;1995-11

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