Theoretical Efficiency of A Shifted Barrier Function Algorithm for Linear Programming

This paper examines the theoretical efficiency of solving a standard-form linear program by solving a sequence of shifted-barrier problems of the form minimize cTx - n (xj + ehj) j.,1 x s.t. Ax = b , x + e h > , for a given and fixed shift vector h > 0, and for a sequence of values of > 0 t...

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Bibliographic Details
Main Author: Freund, Robert M.
Format: Working Paper
Language:en_US
Published: Massachusetts Institute of Technology, Operations Research Center 2004
Online Access:http://hdl.handle.net/1721.1/5185