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- W3122179969 abstract "The purpose of this study is to broaden the scope of projective transformation methods in mathematical programming, both in terms of theory and algorithms. We start by generalizing the concept of the analytic center of a polyhedral system of constraints to the w-center of a polyhedral system, which stands for weighted center, where there is a positive weight on the logarithmic barrier term for each inequality constraint defining the polyhedronX. We prove basic results regarding contained and containing ellipsoids centered at the w-center of the systemX. We next shift attention to projective transformations, and we exhibit an elementary projective transformation that transforms the polyhedronX to another polyhedronZ, and that transforms the current interior point to the w-center of the transformed polyhedronZ. We work throughout with a polyhedral system of the most general form, namely both inequality and equality costraints." @default.
- W3122179969 created "2021-02-01" @default.
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- W3122179969 date "1989-01-01" @default.
- W3122179969 modified "2023-09-27" @default.
- W3122179969 title "Projective transformations for interior-point algorithms, and a superlinearly convergent algorithm for the w-center problem" @default.
- W3122179969 hasPublicationYear "1989" @default.
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