New complexity analysis of a full Nesterov–Todd step interior-point method for semidefinite optimization

DOI10.1142/S179355711750070XzbMath1386.90178MaRDI QIDQ4595149

Behrouz Kheirfam

Publication date: 28 November 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

interior-point methodsemidefinite optimizationpolynomial complexityfull Nesterov-Todd stepsearch direction

Mathematics Subject Classification ID

Interior-point methods (90C51)

Related Items (4)

Corrector-predictor interior-point method with new search direction for semidefinite optimization ⋮ A class of new search directions for full-NT step feasible interior point method in semidefinite optimization ⋮ An infeasible interior point method for the monotone SDLCP based on a transformation of the central path ⋮ An extension for identifying search directions for interior-point methods in linear optimization

Cites Work

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• A new primal-dual path-following method for convex quadratic programming
• A primal-dual interior-point algorithm for second-order cone optimization with full Nesterov-Todd step
• A new primal-dual path-following interior-point algorithm for semidefinite optimization
• Aspects of semidefinite programming. Interior point algorithms and selected applications
• Complexity analysis of a full-{N}ewton step interior-point method for linear optimization
• A new full Nesterov-Todd step primal-dual path-following interior-point algorithm for symmetric optimization
• A new interior-point algorithm based on modified Nesterov-Todd direction for symmetric cone linear complementarity problem
• Interior-Point Methods for the Monotone Semidefinite Linear Complementarity Problem in Symmetric Matrices
• Linear Matrix Inequalities in System and Control Theory
• Self-Scaled Barriers and Interior-Point Methods for Convex Programming
• Primal-Dual Interior-Point Methods for Self-Scaled Cones
• Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
• On the Convergence of the Central Path in Semidefinite Optimization
• Semidefinite Programming
• Interior Point Methods for Linear Optimization
• Handbook of semidefinite programming. Theory, algorithms, and applications

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