scientific article
From MaRDI portal
zbMath0297.90047MaRDI QIDQ4051879
Publication date: 1972
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Linear programming (90C05) Linear inequalities of matrices (15A39) Inequalities and extremum problems involving convexity in convex geometry (52A40) Polytopes and polyhedra (52Bxx)
Related Items
On the length of simplex paths: The assignment case, Geometric random edge, Complexity of some parametric integer and network programming problems, A hybrid gradient and feasible direction pivotal solution algorithm for general linear programs, The Klee–Minty random edge chain moves with linear speed, Tropicalizing the Simplex Algorithm, From Parity and Payoff Games to Linear Programming, A Complementary Pivot Algorithm for Market Equilibrium under Separable, Piecewise-Linear Concave Utilities, Affirmative action algorithms, Fuzzy facility location-allocation problem under the Hurwicz criterion, Simplex method and groups generated by reflections, Pivoting in linear complementarity: Two polynomial-time cases, A simple direct cosine simplex algorithm, Smoothing the Gap Between NP and ER, Computing convex hulls and counting integer points with \texttt{polymake}, The Efficiency of an Algorithm of Integer Programming: A Probabilistic Analysis, On the Number of Solutions Generated by the Simplex Method for LP, An exponential lower bound for Zadeh's pivot rule, Globally Adaptive Longitudinal Quantile Regression With High Dimensional Compositional Covariates, The Polyhedral Geometry of Pivot Rules and Monotone Paths, Inapproximability of shortest paths on perfect matching polytopes, Minkowski summands of cubes, Unnamed Item, Nonparametric density estimation with nonuniform B-spline bases, Facility location-allocation problem in random fuzzy environment: using \((\alpha,\beta )\)-cost minimization model under the Hurewicz criterion, Inference for High-Dimensional Censored Quantile Regression, The projector algorithm: a simple parallel algorithm for computing Voronoi diagrams and Delaunay graphs, The octatope abstract domain for verification of neural networks, A Friendly Smoothed Analysis of the Simplex Method, Constraint Satisfaction Problems over Numeric Domains, Semi-random Graphs with Planted Sparse Vertex Cuts: Algorithms for Exact and Approximate Recovery, A Subexponential Lower Bound for Zadeh’s Pivoting Rule for Solving Linear Programs and Games, How good are interior point methods? Klee-Minty cubes tighten iteration-complexity bounds, The complexity of linear programming, New results on the average behavior of simplex algorithms, On the average number of steps of the simplex method of linear programming, Computational complexity of LCPs associated with positive definite symmetric matrices, Random edge can be exponential on abstract cubes, Unnamed Item, Finite convergence of an active signature method to local minima of piecewise linear functions, Maximum Volume Inscribed Ellipsoid: A New Simplex-Structured Matrix Factorization Framework via Facet Enumeration and Convex Optimization, Minkowski summands of cubes, Unnamed Item, The Minimum Euclidean-Norm Point in a Convex Polytope: Wolfe's Combinatorial Algorithm is Exponential, A parallel approach for determining confidence intervals of variable statistics in large and sparse linear equations with RHS ranges, Substitution with Satiation: A New Class of Utility Functions and a Complementary Pivot Algorithm, Vector Space Decomposition for Solving Large-Scale Linear Programs, Low order polynomial bounds on the expected performance of local improvement algorithms, Graphs and Algorithms in Communication Networks on Seven League Boots, The simplex algorithm with the pivot rule of maximizing criterion improvement, The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg, Fast Algorithms for Rank-1 Bimatrix Games, Novel solutions on model-based and model-free robotic-assisted ankle rehabilitation, Unnamed Item, Modifications and implementation of the ellipsoid algorithm for linear programming, A computer implementation of the push-and-pull algorithm and its computational comparison with LP simplex method, On the computational complexity of piecewise-linear homotopy algorithms, On the Length of Monotone Paths in Polyhedra, Combinatorial Optimization: The Interplay of Graph Theory, Linear and Integer Programming Illustrated on Network Flow, A Portable Parallel Implementation of the lrs Vertex Enumeration Code, Pivot Rules for Circuit-Augmentation Algorithms in Linear Optimization, A Simple Algorithm for Finding a Non-negative Basic Solution of a System of Linear Algebraic Equations, Trivial integer programs unsolvable by branch-and-bound, Random polytopes: Their definition, generation and aggregate properties, Articulations and Products of Transition Systems and their Applications to Petri Net Synthesis, Solving Basis Pursuit, A bad network problem for the simplex method and other minimum cost flow algorithms, On the lexicographic centre of multiple objective optimization, Blending simple polytopes at faces, Deciding probabilistic automata weak bisimulation: theory and practice, Methods for a network design problem in solar power systems, Conflict-driven satisfiability for theory combination: lemmas, modules, and proofs, On the complexity of some basic problems in computational convexity. I. Containment problems, Cascading-heuristics for the solution of staircase linear programs, Recognizing one-dimensional Euclidean preference profiles, A new family of exponential LP problems, Computing equilibria: a computational complexity perspective, Construction and analysis of projected deformed products, A simplex variant solving an m\(\times d\) linear program in O(min(m 2,d 2)) expected number of pivot steps, A multiplicative barrier function method for linear programming, How good are convex hull algorithms?, Completely unimodal numberings of a simple polytope, Revisiting compressed sensing: exploiting the efficiency of simplex and sparsification methods, An arc-search \({\mathcal {O}}(nL)\) infeasible-interior-point algorithm for linear programming, Linear programming, the simplex algorithm and simple polytopes, Criss-cross methods: A fresh view on pivot algorithms, Some LCPs solvable in strongly polynomial time with Lemke's algorithm, Combinatorial redundancy detection, On the number of iterations of local improvement algorithms, Resolution of the problem of degeneracy in a primal and dual simplex algorithm, Models of opinion control for agents in social networks, Implementing the simplex method as a cutting-plane method, with a view to regularization, A simplex algorithm for a class of Leontief flow problems, A polynomial arc-search interior-point algorithm for linear programming, A subexponential bound for linear programming, Reformulation of the linear program for completely ergodic MDPs with average cost criteria, Worst case behavior of the steepest edge simplex method, Abstract tropical linear programming, Observations on a class of nasty linear complementarity problems, Generic-case complexity, decision problems in group theory, and random walks., A bound for the number of different basic solutions generated by the simplex method, Efficient GPU-based implementations of simplex type algorithms, Discrete extremal problems, A new linear programming algorithm - better or worse than the simplex method?, Interior point methods 25 years later, Exponential lower bounds for finding Brouwer fixed points, On the number of solutions generated by the dual simplex method, An exponential example for Terlaky's pivoting rule for the criss-cross simplex method, On relaxation methods for systems of linear inequalities, A simple heuristic approach to simplex efficiency, A two-phase support method for solving linear programs: numerical experiments, Decomposed block Cholesky factorization in the Karmarkar algorithm. Solving a class of super large LP problems, A double-pivot simplex algorithm and its upper bounds of the iteration numbers, Recent development in computational complexity characterization of Nash equilibrium, Subpolytopes of cyclic polytopes, Artificial-free simplex algorithm based on the non-acute constraint relaxation, An appraisal of computational complexity for operations researchers, Unique sink orientations of grids, The average number of pivot steps of the simplex-algorithm based on a generalized rotation-symmetry-model, Exterior point simplex-type algorithms for linear and network optimization problems, A simpler and tighter redundant Klee-Minty construction, The worst-case running time of the random simplex algorithm is exponential in the height, Ragnar Frisch and interior-point methods, The colourful feasibility problem, An exponential lower bound for Cunningham's rule, George B. Dantzig and systems optimization, George Dantzig's impact on the theory of computation, Two computationally efficient polynomial-iteration infeasible interior-point algorithms for linear programming, Upper bounds for the diameter and height of graphs of convex polyhedra, Paths on polymatroids, The double pivot simplex method, Recurrent neural networks for linear programming: Analysis and design principles, Two curve Chebyshev approximation and its application to signal clustering, OSQP: An Operator Splitting Solver for Quadratic Programs, Polytope pairs and their relationship to linear programming, A note on the complexity of an algorithm for Chebyshev approximation, Hybrid-LP: finding advanced starting points for simplex, and pivoting LP methods, The complex interior-boundary method for linear and nonlinear programming with linear constraints, On the existence of Hamiltonian paths for history based pivot rules on acyclic unique sink orientations of hypercubes, Klee-Minty's LP and upper bounds for Dantzig's simplex method, Reduction techniques for network validation in systems biology, Quantitative simulations by matrices, A redundant Klee-Minty construction with all the redundant constraints touching the feasible region, Steepest-edge rule and its number of simplex iterations for a nondegenerate LP, Efficient search for rationals, Reducing the size and number of linear programs in a dynamic Gröbner basis algorithm, Computing monotone disjoint paths on polytopes, An efficient simplex type algorithm for sparse and dense linear programs., Approximating linear programming is log-space complete for P, Message-recovery laser fault injection attack on the \textit{classic McEliece} cryptosystem, A space decomposition-based deterministic algorithm for solving linear optimization problems, An interior-point algorithm for linear programming with optimal selection of centering parameter and step size, Fast quantum subroutines for the simplex method, Fast finite methods for a system of linear inequalities, Values for level structures with polynomial-time algorithms, relevant coalition functions, and general considerations, A note on the distribution of the number of simplex iterations to optimality, Reinforcement learning of simplex pivot rules: a proof of concept, Symbiosis between linear algebra and optimization, A characterization theorem and an algorithm for a convex hull problem, Pivot versus interior point methods: Pros and cons, Pivot rules for linear programming: A survey on recent theoretical developments, An exterior point simplex algorithm for (general) linear programming problems, An interior feasible direction method with constraint projections for linear programming, The decomposition principle and algorithms for linear programming, A quadratically convergent method for linear programming, Intelligent gradient search in linear programming, Generation of interior points and polyhedral representations of cones in \(\mathbb R^N\) cut by \(M\) planes sharing a common point