Nemirovskiĭ, A. S., (Arkadiĭ Semenovich) creator author. text bibliography nju 2024 monographic eng

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xxii, 626 pages : illustrations ; 24 cm. "A graduate level, rigorous, and self contained introduction to Linear Optimization. Comes with exercises and solutions. Appendices also provide brief summaries of the pre-requisite results for this book"-- Introduction to LO: examples of LO models -- Part I. Geometry of linear optimization -- Polyhedral sets and their geometry -- Theory of systems of linear inequalities and duality -- Part II. Classical algorithms of linear optimization: the simplex method -- Simplex method -- The network simplex algorithm -- Part III. Complexity of linear optimization and the ellipsoid method -- Polynomial time solvability of linear optimization -- Part IV. Conic programming and interior point methods -- Conic programming -- Interior point methods for LO and semidefinite optimization -- Appendix A. Prerequisites from linear algebra -- Appendix B. Prerequisites from real analysis -- Appendix C. Symmetric matrics. Arkadi Nemirovski. Includes bibliographical references and index. Linear programming Textbooks Mathematical optimization Textbooks QA402.5 .N4538 2024 519.72 N344i 9789811278730 2023016700 DLC 230823 20260922032803.0 23293294 eng