Nonnegative generalized inverses in indefinite inner product spaces | Zendy

Sachindranath Jayaraman | Zendy

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Nonnegative generalized inverses in indefinite inner product spaces

Author(s) -

Sachindranath Jayaraman

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1304659j

Subject(s) - mathematics , monotonic function , generalized inverse , inner product space , moore–penrose pseudoinverse , inverse , product (mathematics) , pure mathematics , matrix (chemical analysis) , algebra over a field , mathematical analysis , geometry , materials science , composite material

The aim of this article is to investigate nonnegativity of the inverse, the Moore-Penrose inverse and other generalized inverses, in the setting of indefinite inner product spaces with respect to the indefinite matrix product. We also propose and investigate generalizations of the corresponding notions of matrix monotonicity, namely, o-(rectangular) monotonicity, o-semimonotonicity and о-weak monotonicity and its interplay with nonnegativity of various generalized inverses in the same setting.

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