Linear and nonlinear programming /
Luenberger, David G.
Linear and nonlinear programming / [Electronic resource] David G. Luenberger, Yinyu Ye. - Fourth edition. - Cham : Springer, 2016. - xiii, 546 pages illustrations. 5.35 MB - International series in operations research & management science ; volume 228 .
Includes bibliographical references and index.
Introduction -- Part I Linear Programming -- Basic Properties of Linear Programs -- The Simplex Method -- Duality and Complementarity -- Interior-Point Methods -- Conic Linear Programming -- Part II Unconstrained Problems -- Basic Properties of Solutions and Algorithms -- Basic Descent Methods -- Conjugate Direction Methods -- Quasi-Newton Methods -- Part III Constrained Minimization -- Constrained Minimization Conditions -- Primal Methods -- Penalty and Barrier Methods -- Duality and Dual Methods -- Primal-Dual Methods -- Appendix A: Mathematical Review -- Appendix B: Convex Sets -- Appendix C: Gaussian Elimination -- Appendix D: Basic Network Concepts.
978-3-319-18842-3 (e-ISBN)
Linear programming.
Nonlinear programming.
Operations research.
519.72
Linear and nonlinear programming / [Electronic resource] David G. Luenberger, Yinyu Ye. - Fourth edition. - Cham : Springer, 2016. - xiii, 546 pages illustrations. 5.35 MB - International series in operations research & management science ; volume 228 .
Includes bibliographical references and index.
Introduction -- Part I Linear Programming -- Basic Properties of Linear Programs -- The Simplex Method -- Duality and Complementarity -- Interior-Point Methods -- Conic Linear Programming -- Part II Unconstrained Problems -- Basic Properties of Solutions and Algorithms -- Basic Descent Methods -- Conjugate Direction Methods -- Quasi-Newton Methods -- Part III Constrained Minimization -- Constrained Minimization Conditions -- Primal Methods -- Penalty and Barrier Methods -- Duality and Dual Methods -- Primal-Dual Methods -- Appendix A: Mathematical Review -- Appendix B: Convex Sets -- Appendix C: Gaussian Elimination -- Appendix D: Basic Network Concepts.
978-3-319-18842-3 (e-ISBN)
Linear programming.
Nonlinear programming.
Operations research.
519.72