Generalizations of M-matrices which may not have a nonnegative inverse |
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| Authors: | Abed Elhashash Daniel B Szyld |
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| Institution: | a Department of Mathematics, Drexel University, 3141 Chestnut Street, Philadelphia, PA 19104-2816, USA
b Department of Mathematics, Temple University (038-16), 1805 N. Broad Street, Philadelphia, PA 19122-6094, USA |
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| Abstract: | Generalizations of M-matrices are studied, including the new class of GM-matrices. The matrices studied are of the form sI-B with B having the Perron-Frobenius property, but not necessarily being nonnegative. Results for these classes of matrices are shown, which are analogous to those known for M-matrices. Also, various splittings of a GM-matrix are studied along with conditions for their convergence. |
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| Keywords: | 15A48 |
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