Newton's method for linear inequality systems

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Newton's method for linear inequality systems.pdf (916.73 KB)

Date

1998

Authors

Pınar, M. Ç.

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Abstract

We describe a modified Newton type algorithm for the solution of linear inequality systems in the sense of minimizing the ℓ2 norm of infeasibilities. Finite termination is proved, and numerical results are given. © 1998 Elsevier Science B.V.

Source Title

European Journal of Operational Research

Publisher

Elsevier

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Keywords

Finiteness, Linear inequalities, Newton's method, Piecewise-quadratic functions, Algorithms, Finite element method, Functions, Numerical methods, Theorem proving, Linear inequality systems, Newton's methods, Piecewise quadratic functions, Optimization

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http://hdl.handle.net/11693/25445

Published Version (Please cite this version)

https://doi.org/10.1016/S0377-2217(97)00178-1

Collections

Scholarly Publications - Industrial Engineering

Language

English

Type

Article