Interior Point Methods for Nonlinear Optimization
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Publication:3569506
DOI10.1007/978-3-642-11339-0_4zbMath1251.90391OpenAlexW132901562MaRDI QIDQ3569506
Publication date: 21 June 2010
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-11339-0_4
Interior-point methods (90C51) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming (90-01) Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming (90-06)
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Cites Work
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- Solving semidefinite-quadratic-linear programs using SDPT3
- A new polynomial-time algorithm for linear programming
- Further development of multiple centrality correctors for interior point methods
- Geometric algorithms and combinatorial optimization
- A computational study of the homogeneous algorithm for large-scale convex optimization
- Sensitivity analysis in linear programming: Just be careful!
- An interior point method, based on rank-1 updates, for linear programming
- Warm start of the primal-dual method applied in the cutting-plane scheme
- Finding an interior point in the optimal face of linear programs
- Interior point methods of mathematical programming
- On the complexity of semidefinite programs
- Volumetric path following algorithms for linear programming
- Initialization in semidefinite programming via a self-dual skew-symmetric embedding
- Second-order cone programming
- Avoiding numerical cancellation in the interior point method for solving semidefinite programs
- A product-form Cholesky factorization method for handling dense columns in interior point methods for linear programming
- On a homogeneous algorithm for the monotone complementarity problem
- Polynomial convergence of primal-dual algorithms for the second-order cone program based on the MZ-family of directions
- Aspects of semidefinite programming. Interior point algorithms and selected applications
- Pivot versus interior point methods: Pros and cons
- Product-form Cholesky factorization in interior point methods for second-order cone programming
- A simplified homogeneous and self-dual linear programming algorithm and its implementation
- Large step volumetric potential reduction algorithms for linear programming
- Interior-point methods for nonlinear complementarity problems
- A new algorithm for minimizing convex functions over convex sets
- A general parametric analysis approach and its implication to sensitivity analysis in interior point methods
- Implementation of a primal-dual method for SDP on a shared memory parallel architecture
- How good are interior point methods? Klee-Minty cubes tighten iteration-complexity bounds
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- On the behavior of the homogeneous self-dual model for conic convex optimization
- Lectures on Modern Convex Optimization
- Associative and Jordan Algebras, and Polynomial Time Interior-Point Algorithms for Symmetric Cones
- Warm-Start Strategies in Interior-Point Methods for Linear Programming
- On the Implementation and Usage of SDPT3 – A Matlab Software Package for Semidefinite-Quadratic-Linear Programming, Version 4.0
- Graph Implementations for Nonsmooth Convex Programs
- Linear Inequalities and Related Systems. (AM-38)
- A New Unblocking Technique to Warmstart Interior Point Methods Based on Sensitivity Analysis
- Parallel implementation of a semidefinite programming solver based on CSDP on a distributed memory cluster
- Interior-point methods for optimization
- Solving Real-World Linear Programs: A Decade and More of Progress
- On Minimizing the Maximum Eigenvalue of a Symmetric Matrix
- Cones of Matrices and Set-Functions and 0–1 Optimization
- On the Implementation of a Primal-Dual Interior Point Method
- An Implementation of a Primal-Dual Interior Point Method for Linear Programming
- Solving large-scale linear programs by interior-point methods under the Matlab∗Environment†
- An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm
- Self-Scaled Barriers and Interior-Point Methods for Convex Programming
- Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
- Primal--Dual Path-Following Algorithms for Semidefinite Programming
- On Extending Some Primal--Dual Interior-Point Algorithms From Linear Programming to Semidefinite Programming
- On homogeneous interrior-point algorithms for semidefinite programming
- Implementation of interior point methods for mixed semidefinite and second order cone optimization problems
- A study of search directions in primal-dual interior-point methods for semidefinite programming
- A convergence analysis of the scaling-invariant primal-dual path-following algorithms for second-order cone programming
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Conic convex programming and self-dual embedding
- Implementation and evaluation of SDPA 6.0 (Semidefinite Programming Algorithm 6.0)
- Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
- The theory of linear programming:skew symmetric self-dual problems and the central path*
- Interior Methods for Nonlinear Optimization
- The interior-point revolution in optimization: History, recent developments, and lasting consequences
- Semidefinite Programming
- An Interior Point Method for Mathematical Programs with Complementarity Constraints (MPCCs)
- Interior Point Methods for Linear Optimization
- Parallel Processing and Applied Mathematics
- Handbook of semidefinite programming. Theory, algorithms, and applications
- An easy way to teach interior-point methods.
- New complexity analysis of the primal-dual Newton method for linear optimization