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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.
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]
Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: 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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  Data: <i>Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.amc.2017.08.047
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        Text: English
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        PageCount: 13
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        Type: general
      – SubjectFull: Matrices (Mathematics)
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      – SubjectFull: Ordered groups
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      – SubjectFull: Set theory
        Type: general
      – SubjectFull: Uniform distribution (Probability theory)
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      – TitleFull: Weighted G-Drazin inverses and a new pre-order on rectangular matrices.
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              Text: Jan2018
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