Nonnegative Generalized Inverses and Interval Linear Programs

DOI10.1080/01630563.2010.519130zbMath1214.47007OpenAlexW1986603647MaRDI QIDQ3068658

Sachindranath Jayaraman

Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.519130

zbMATH Keywords

weak monotonicitynonnegative Moore-Penrose inverseBen-Israel-Charnes spaceinterval linear programnonnegative generalised inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Programming in abstract spaces (90C48) Linear operators on ordered spaces (47B60) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Positive linear operators and order-bounded operators (47B65)

Cites Work

• Unnamed Item
• Nonnegative Moore--Penrose inverses of Gram operators
• Nonnegative Moore--Penrose inverses of operators over Hilbert spaces
• A new characterization of nonnegativity of Moore-Penrose inverses of Gram operators
• Linear optimization with box constraints in Banach spaces
• Explicit solutions for interval semidefinite linear programs
• Weak monotonicity of \(A\) versus \(\{1\}\)-inverses nonnegative on the range space of \(A\)
• On explicit solutions of interval programs
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Inverses of nonnegative matrices
• Applications of generalized inverses to interval linear programs in hilbert spaces
• An Explicit Solution of a Special Class of Linear Programming Problems