Cones, Matrices and Mathematical Programming
This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. It consists of three chapters. The first describes the basic theory. The second is devoted to applications to mat...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1973, 1973
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| Edition: | 1st ed. 1973 |
| Series: | Lecture Notes in Economics and Mathematical Systems
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Convex Cones and linear Inequalities
- 1. Separation theorems
- 2. Cones and duals
- 3. Linear inequalities over cones
- 4. Theorems of the alternative
- 2. Mathematical Programming over Cones
- 5. Linear programming
- 6. Quadratic programming
- 7. The complementarity problem
- 8. Non-linear programming
- 3. Cones in Matrix Theory
- 9. Cones of matrices
- 10. Lyapunov type theorems
- 11. Cone monotonicity
- 12. Iterative methods for linear systems
- References
- Glossary of Notations