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Linear Programming Computation / by Ping-Qi PAN.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- PAN, Ping-Qi., Author.
- Language:
- English
- Subjects (All):
- Algebras, Linear.
- Mathematics.
- Economics.
- Linear Algebra.
- Local Subjects:
- Linear Algebra.
- Mathematics.
- Economics.
- Physical Description:
- 1 online resource (749 p.)
- Edition:
- 1st ed. 2014.
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
- Language Note:
- English
- Summary:
- With emphasis on computation, this book is a real breakthrough in the field of LP. In addition to conventional topics, such as the simplex method, duality, and interior-point methods, all deduced in a fresh and clear manner, it introduces the state of the art by highlighting brand-new and advanced results, including efficient pivot rules, Phase-I approaches, reduced simplex methods, deficient-basis methods, face methods, and pivotal interior-point methods. In particular, it covers the determination of the optimal solution set, feasible-point simplex method, decomposition principle for solving large-scale problems, controlled-branch method based on generalized reduced simplex framework for solving integer LP problems.
- Contents:
- Introduction
- Geometry of the Feasible Region
- Simplex Method
- Duality principle and dual simplex method
- Implementation of the Simplex Method
- Sensitivity Analysis and Parametric LP
- Variants of the Simplex Method
- Decomposition Method
- Interior Point Method
- Integer Linear Programming (ILP)
- Pivot Rule
- Dual Pivot Rule
- Simplex Phase-I Method
- Dual Simplex Phase-l Method
- Reduced Simplex Method
- Improved Reduced Simplex Method
- D-Reduced Simplex Method
- Criss-Cross Simplex Method
- Generalizing Reduced Simplex Method
- Deficient-Basis Method
- Dual Deficient-Basis Method
- Face Method
- Dual Face Method
- Pivotal interior-point Method
- Special Topics
- Appendix
- References.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- ISBN:
- 3-642-40754-4
- OCLC:
- 875475632
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