Subdirect sums of nonsingular M-matrices and of their inverses

By R. Bru, F. Pedroche, Daniel B. Szyld. 2005

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The question of when the subdirect sum of two nonsingular M -matrices is a nonsingular M -matrix is studied. Su cient conditions are given. The case of inverses of M -matrices is also studied. In particular, it is shown that the subdirect sum of overlapping principal submatrices of a nonsingular M -matrix is a nonsingular M -matrix. Some examples illustrating the conditions presented are also given. AMS subject classi cations. 15A48.

Subfields: Computational Theory and Mathematics, Electrical and Electronic Engineering, Numerical Analysis

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