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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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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Abstract 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.
AbstractList 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.
Author Jayaraman, Sachindranath
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10.1016/j.laa.2006.11.004
10.1287/opre.16.6.1166
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Snippet Connections between nonnegative generalized inverses and interval linear programs form the subject matter of this article. Characterizations of nonnegativity...
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SubjectTerms Ben-Israel-Charnes space
Functional analysis
Interval linear program
Intervals
Nonnegative group inverses
Nonnegative Moore-Penrose inverses
Optimization
Weak monotonicity
Title Nonnegative Generalized Inverses and Interval Linear Programs
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Volume 31
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