A new class of preconditioners for large-scale linear systems from interior point methods for linear programming

From MaRDI portal
Publication:1765884

DOI10.1016/j.laa.2004.08.019zbMath1071.65088OpenAlexW2132894961WikidataQ114851474 ScholiaQ114851474MaRDI QIDQ1765884

Danny C. Sorensen, Aurelio Ribeiro Leite Oliveira

Publication date: 23 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1911/19149



Related Items

Efficient Preconditioners for Interior Point Methods via a New Schur Complement-Based Strategy, On mutual impact of numerical linear algebra and large-scale optimization with focus on interior point methods, A robust and efficient proposal for solving linear systems arising in interior-point methods for linear programming, A stable primal-dual approach for linear programming under nondegeneracy assumptions, Crash start of interior point methods, An interior-point approach for primal block-angular problems, Preconditioning and iterative solution of symmetric indefinite linear systems arising from interior point methods for linear programming, Using a hybrid preconditioner for solving large-scale linear systems arising from interior point methods, Improving the preconditioning of linear systems from interior point methods, Finding the orthogonal projection of a point onto an affine subspace, A new proposal to improve the early iterations in the interior point method, On Geometrical Properties of Preconditioners in IPMs for Classes of Block-Angular Problems, A New Stopping Criterion for Krylov Solvers Applied in Interior Point Methods, General-purpose preconditioning for regularized interior point methods, A New Approach to the Splitting Factor Preconditioner Applied to Linear Programming Problems, Solving Mixed Sparse-Dense Linear Least-Squares Problems by Preconditioned Iterative Methods, Preconditioners for Krylov subspace methods: An overview, Recycling basic columns of the splitting preconditioner in interior point methods, Preconditioning indefinite systems in interior point methods for large scale linear optimisation, Matrix-free interior point method, Interior point methods 25 years later, An Asymptotically Superlinearly Convergent Semismooth Newton Augmented Lagrangian Method for Linear Programming, Quadratic regularizations in an interior-point method for primal block-angular problems, Switching preconditioners using a hybrid approach for linear systems arising from interior point methods for linear programming, Implementation of an interior point method with basis preconditioning, Using groups in the splitting preconditioner computation for interior point methods, New preconditioners applied to linear programming and the compressive sensing problems, Combining a hybrid preconditioner and a optimal adjustment algorithm to accelerate the convergence of interior point methods, Sparsity preserving preconditioners for linear systems in interior-point methods, Modified controlled Cholesky factorization for preconditioning linear systems from the interior-point method, A new method for multiple attribute group decision-making with intuitionistic trapezoid fuzzy linguistic information, Influence of matrix reordering on the performance of iterative methods for solving linear systems arising from interior point methods for linear programming, A primal-dual regularized interior-point method for convex quadratic programs, Application of a GPU-accelerated hybrid preconditioned conjugate gradient approach for large 3D problems in computational geomechanics, A new approach for finding a basis for the splitting preconditioner for linear systems from interior point methods, A primal-dual interior-point algorithm for quadratic programming, Computing the Splitting Preconditioner for Interior Point Method Using an Incomplete Factorization Approach, A specialized interior-point algorithm for huge minimum convex cost flows in bipartite networks, Interior-point solver for convex separable block-angular problems, Convergence analysis of the inexact infeasible interior-point method for linear optimization, Implementation of interior-point methods for LP based on Krylov subspace iterative solvers with inner-iteration preconditioning, Block preconditioners for linear systems in interior point methods for convex constrained optimization, Improving an interior-point approach for large block-angular problems by hybrid preconditioners


Uses Software


Cites Work