2011•Unpublished venueRequires access

Progress in Mathematical Programming: Interior-Point and Related Methods

Nimrod Megiddo

Abstract

1 An Algorithm for Solving Linear Programming Problems in O(n3L) Operations.- 2 A Primal-Dual Interior Point Algorithm for Linear Programming.- 3 An Extension of Karmarkar's Algorithm and the Trust Region Method for Quadratic Programming.- 4 Approximate Projections in a Projective Method for the Linear Feasibility Problem.- 5 A Locally Weil-Behaved Potential Function and a Simple Newton-Type Method for Finding the Center of a Polytype.- 6 A Note on Comparing Simplex and Interior Methods for Linear Programming.- 7 Pricing Criteria in Linear Programming.- 8 Pathways to the Optimal Set in Linear Programming.

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Key concepts: Linear programming, Interior point method, Simplex algorithm, Linear-fractional programming, Criss-cross algorithm, Mathematical optimization, Mathematics, Simplex