Weighted G-Drazin inverses and a new pre-order on rectangular matrices.
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| Title: | Weighted G-Drazin inverses and a new pre-order on rectangular matrices. |
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| Authors: | Coll, C.1 mccoll@mat.upv.es, Lattanzi, M.2 mblatt@exactas.unlpam.edu.ar, Thome, N.1 njthome@mat.upv.es |
| Source: | Applied Mathematics & Computation. Jan2018, Vol. 317, p12-24. 13p. |
| Subjects: | Inverse problems, Matrices (Mathematics), Ordered groups, Set theory, Uniform distribution (Probability theory) |
| Abstract: | This paper deals with weighted G-Drazin inverses, which is a new class of matrices introduced to extend (to the rectangular case) G-Drazin inverses recently considered by Wang and Liu for square matrices. First, we define and characterize weighted G-Drazin inverses. Next, we consider a new pre-order defined on complex rectangular matrices based on weighted G-Drazin inverses. Finally, we characterize this pre-order and relate it to the minus partial order and to the weighted Drazin pre-order. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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