Optimization by the Fixed-Point Method

Jalaluddin Abdullah (jalalstreamyx.com)

Abstract: From an original LP an invariant dual and primal are constructed; solutions to the invariant primal are related to the original LP; from the invariant problems a fixed-point problem is created; solutions to the fixed-point problem are related to the invariant problems; the fixed-point problem is solved by assymptotic and terminating methods; conditions for the solution of non-linear programs are developed.

Keywords: optimization, linear programming, non-linear programming, fixed-point method

Category 1: Linear, Cone and Semidefinite Programming (Linear Programming )

Category 2: Nonlinear Optimization (Constrained Nonlinear Optimization )

Citation: Jalaluddin Abdullah, Optimization by the Fixed-Point Method, Version 1.97, Vuze/Azureus (under Science and Technology), 2007.

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Entry Submitted: 09/09/2007
Entry Accepted: 09/11/2007
Entry Last Modified: 01/17/2008

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