作者: Abraham Berman
DOI:
关键词: Cone (category theory) 、 Complementarity theory 、 Quadratic programming 、 Mathematical optimization 、 Linear programming 、 Linear inequality 、 Mathematics 、 Monotonic function 、 Linear system 、 Lyapunov function
摘要: 1. Convex Cones and linear Inequalities.- Separation theorems.- 2. duals.- 3. Linear inequalities over cones.- 4. Theorems of the alternative.- Mathematical Programming Cones.- 5. programming.- 6. Quadratic 7. The complementarity problem.- 8. Non-linear in Matrix Theory.- 9. matrices.- 10. Lyapunov type 11. Cone monotonicity.- 12. Iterative methods for systems.- References.- Glossary Notations.