Luenberger, David G., 1937-
        Linear and nonlinear programming / David G. Luenberger, Yinyu Ye. - 4th ed. - NY. : Springer, 2016. - xiii, 546 p. : ill. ; 25 cm.        (International series in operations research & management science ; 228)

        Includes bibliographical references and index

        Nội dung: Introduction.- Part I: Linear Programming.- 2. Basic Properties of Linear Programs.- 3. The Simplex Method.- 4. Duality.- 5. Interior-Point Methods.- 6. Transportation and Network Flow Problems.- Part II: Unconstrained Problems.-7. Basic Descent Methods.- 8. Conjugate Direction Methods.- 9. Quasi-Newton Methods.- Part III: Constrained Minimization.- 10. Constrained Minimization Conditions.- 11. Primal Methods.- 12. Penalty and Barrier Methods.- 13. Dual and Cutting Plane Methods.- 14. Primal-Dual Methods.- Appendix A: Mathematical Review.- A.1. Sets.- A.2. Matrix Notation.- A.3. Spaces.- A.4. Eigenvalues and Quadratic Forms.- A.5. Topological Concepts.- A.6. Functions.- Appendix B: Convex Sets.- B.1. Basic Definitions.- B.2. Hyperplanes and Polytopes.- B.3. Separating and Supporting Hyperplanes.- B.4. Extreme Points.- Appendix C: Gaussian Elimination.- Bibliography.- Index

        ISBN
        
1. Linear programming.2. Nonlinear programming.3. Quy hoạch tuyến tính.4. Quy hoạch phi tuyến tính.
I. Ye, Yinyu. II. Nhan đề

Số định danh : 519.72 L506

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