Nonnegative Generalized Inverses and Interval Linear Programs

Connections between nonnegative generalized inverses and interval linear programs form the subject matter of this article. Characterizations of nonnegativity of the Moore-Penrose inverse and the group inverse are presented and their role in the study of a special class of optimization spaces, namely...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 31; no. 11; pp. 1272 - 1282
Main Author Jayaraman, Sachindranath
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.11.2010
Subjects
Ben-Israel-Charnes space
Functional analysis
Interval linear program
Intervals
Nonnegative group inverses
Nonnegative Moore-Penrose inverses
Optimization
Weak monotonicity
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ISSN0163-0563
1532-2467
DOI10.1080/01630563.2010.519130

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Summary:Connections between nonnegative generalized inverses and interval linear programs form the subject matter of this article. Characterizations of nonnegativity of the Moore-Penrose inverse and the group inverse are presented and their role in the study of a special class of optimization spaces, namely, Ben-Israel-Charnes spaces is brought out. The interplay between Ben-Israel-Charnes spaces and other notions of generalized inverse positivity are also studied.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2010.519130