06617nam 22017175 450 991015474960332120190708092533.01-4008-8198-610.1515/9781400881987(CKB)3710000000622817(MiAaPQ)EBC4738637(DE-B1597)467934(OCoLC)979580915(DE-B1597)9781400881987(EXLCZ)99371000000062281720190708d2016 fg engurcnu||||||||rdacontentrdamediardacarrierLinear Inequalities and Related Systems. (AM-38), Volume 38 /Harold William Kuhn, Albert William TuckerPrinceton, NJ : Princeton University Press, [2016]©19571 online resource (353 pages) illustrations, tablesAnnals of Mathematics Studies ;2990-691-07999-4 Includes bibliographical references.Frontmatter -- Preface -- Contents -- 1 . Dual Systems of Homogeneous Linear Relations / Tucker, A. W. -- 2. Polyhedral Convex Cones / Goldman, A. J. / Tucker, A. W. -- 3 . Resolution and Separation Theorems for Polyhedral Convex Sets / Goldman, A. J. -- 4. Theory of Linear Programming / Goldman, A. J. / Tucker, A. W. -- 5. On Systems of Linear Inequalities / Pan, Ky -- 6. Infinite Programs / Duffin, R . J . -- 7* A Primal-Dual Algorithm for Linear Programs / Dantzig, G. B. / Ford, L. R. / Fulkerson, D. R. -- 8. Marginal Values of Matrix Games and Linear Programs / Mills, Harlan D. -- 9 . Determinateness of Polyhedral Games / Wolfe, Philip -- 10. On Systems of Distinct Representatives / Hoffman, A. J. / Kuhn, H. W. -- 11. Dilworth's Theorem on Partially Ordered Sets / Dantzig, G. B. / Hoffman, A. J. -- 12. On the Max-Flow Min-Cut Theorem of Networks / Dantzig, G. B. / Fulkerson, D. R. -- 13. Integral Boundary Points of Convex Polyhedra / Hoffman, A. J. / Kruskal, J. B. -- 14 . An Extension of a Theorem of Dantzig's / Heller, I. / Tompkins, C. B. -- 15. Neighboring Vertices on a Convex Polyhedron / Gale, David -- 16. On a Theorem of Wald / Kuhn, H. W. -- 17. On the Solution of a Game-Theoretic Problem / Thompson, Gerald L. -- 18. The Closed Linear Model of Production / Gale, David -- Bibliography -- BackmatterThe description for this book, Linear Inequalities and Related Systems. (AM-38), Volume 38, will be forthcoming.Annals of mathematics studies ;Number 38.Linear programmingMatricesGame theoryBanach space.Basic solution (linear programming).Big O notation.Bilinear form.Boundary (topology).Brouwer fixed-point theorem.Characterization (mathematics).Coefficient.Combination.Computation.Computational problem.Convex combination.Convex cone.Convex hull.Convex set.Corollary.Correlation and dependence.Cramer's rule.Cyclic permutation.Dedekind cut.Degeneracy (mathematics).Determinant.Diagram (category theory).Dilworth's theorem.Dimension (vector space).Directional derivative.Disjoint sets.Doubly stochastic matrix.Dual space.Duality (mathematics).Duality (optimization).Eigenvalues and eigenvectors.Elementary proof.Equation solving.Equation.Equivalence class.Euclidean space.Existence theorem.Existential quantification.Extreme point.Fixed-point theorem.Functional analysis.Fundamental theorem.General equilibrium theory.Hall's theorem.Hilbert space.Incidence matrix.Inequality (mathematics).Infimum and supremum.Invertible matrix.Kakutani fixed-point theorem.Lagrange multiplier.Linear equation.Linear inequality.Linear map.Linear programming.Linear space (geometry).Linear subspace.Loss function.Main diagonal.Mathematical induction.Mathematical optimization.Mathematical problem.Max-flow min-cut theorem.Maxima and minima.Maximal set.Maximum flow problem.Menger's theorem.Minor (linear algebra).Monotonic function.N-vector.Nonlinear programming.Nonnegative matrix.Parity (mathematics).Partially ordered set.Permutation matrix.Permutation.Polyhedron.Quantity.Representation theorem.Row and column vectors.Scientific notation.Sensitivity analysis.Set notation.Sign (mathematics).Simplex algorithm.Simultaneous equations.Solution set.Special case.Subset.Summation.System of linear equations.Theorem.Transpose.Unit sphere.Unit vector.Upper and lower bounds.Variable (mathematics).Vector space.Von Neumann's theorem.Linear programming.Matrices.Game theory.512.89Kuhn Harold William, 12823Tucker Albert William, DE-B1597DE-B1597BOOK9910154749603321Linear Inequalities and Related Systems. (AM-38), Volume 382788681UNINA