Deriving potential functions via a symmetry principle for nonlinear equations

DOI10.1016/S0167-6377(97)00038-2zbMath0888.90120OpenAlexW2075491758WikidataQ126589641 ScholiaQ126589641MaRDI QIDQ1375121

John Lawrence Nazareth

Publication date: 12 January 1998

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6377(97)00038-2

zbMATH Keywords

interior-point methodssymmetry principleassociated potential functionsgradient mappingsinfeasible weighted logarithmic barrier transformationparameterized homotopy equations

Mathematics Subject Classification ID

Linear programming (90C05)

Cites Work

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• Homotopy techniques in linear programming
• A unified approach to interior point algorithms for linear complementarity problems: A summary
• On the interplay among entropy, variable metrics and potential functions in interior-point algorithms
• The implementation of linear programming algorithms based on homotopies
• A simplified homogeneous and self-dual linear programming algorithm and its implementation
• The Homotopy Principle and Algorithms for Linear Programming
• The Newton and Cauchy Perspectives on Computational Nonlinear Optimization
• Infeasible-Interior-Point Primal-Dual Potential-Reduction Algorithms for Linear Programming

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