Dissertation > Excellent graduate degree dissertation topics show

The Splitting Algorithms and Resolvent Dynamic Systems for Monotone Inclusions

Author: HuangYuanYuan
Tutor: DongYunDa
School: Zhengzhou University
Course: Operational Research and Cybernetics
Keywords: maximal monotone inclusion operator splitting weak convergence resolvent dynamic system stability
CLC: O224
Type: Master's thesis
Year: 2011
Downloads: 4
Quote: 0
Read: Download Dissertation


Maximal monotone inclusions are important problems in the fields of optimization ,control,etc. and include as special cases convex minimization,complementary problems and monotone variational inequalities. The operator splitting algorithms, among various available and traditional algorithms for the problems, play an important role, while dy-namic systems are another type of methods for solving the problems in order to satisfy the requirement for real-time solutions. This thesis mainly studies the splitting methods and resolvent dynamic systems for solving maximal monotone inclusions and is divided into three chapters.The first chapter is a brief introduction of maximal monotone inclusions, which in-cludes their state-of-the-art developments. The chapter also provides traditional algorithms and dynamic systems for the problems. In addition, the key points of the thesis is briefly introduced.The second chapter describes the modified operator splitting method for solving a constrained maximal monotone inclusion problem. The request of an operator is weaker than that in the modified algorithm. Its weak convergence is also established. Furthermore, the convergence of the modified method is testified by preliminary numerical results.The third chapter proposes a new resolvent dynamic system for solving an uncon-strained maximal monotone inclusion problem. Its stability in the sense of Lyapunov is proved in theories and by preliminary numerical tests.

Related Dissertations

  1. Analysis and Study of Abutment Stability in Concrete High Arch Dam by Three-Dimensional Nonlinear Finite Element Method,TV642.4
  2. The Study on Structural Calculation and Analysis Method of Lattice-type Crane with Variable Cross-section Boom,TH21
  3. Power System Dynamic Voltage Stability Simulation Study Based on Precise Integration Method,TM712
  4. Simulation and Analysis about Switched Reluctance Generator Power Supply System,TM31
  5. Research and Design for the Laser’s Power Control System of Laser Direct Writing,TN249
  6. Stability Analysis of Systems with Time Delays,TP13
  7. Research on Input-To-State Stability of Discrete-Time Nonlinear Systems,TP13
  8. Astudy on Samuel Huntington’s Theory of Political Stability,D09
  9. Stability Analysis of Roller Compacted Concrete Gravity Dam Based on Time-history Method,TV642.2
  10. Thermal Stability of Complexes of Chitosan Quaternary Ammonium Salt and Metal Ion,O634
  11. Synthesis and Application of the chloro- methoxy fatty acid methyl esters,TQ414.8
  12. Breeding of High-Yield Pigment Production Monascus and Studies on Pigments’ Qualities,TS202.3
  13. On Ohba’s Conjecture of One Class of Complete Multipartite Graphs,O157.5
  14. Analysis of the Impact of Tailings Dam Stability under Seepage Role,TV649
  15. Research on Anti-periodic Solutions of Delayed Cellular Neural Networks without Assuming Global Lipschitz Conditions,TP183
  16. Characterization and Properties of capsaicin / CD system,TQ450.1
  17. Preparation and Properties of lead-free glass powder,TQ171.6
  18. Preparation and Evaluation on the Toxicological Safety and Stability of Deer Blood Wine,TS262.91
  19. Evaluation on Stability of Threshing and Redrying Lamina Structure of Tobacco,TS443
  20. Generator Excitation System of the Anti-saturation Control,TM301.2
  21. Differeces in Physical and Chemical Properties and Organic Carbon Stability of Black Soil between Cropping Systems in Northeast China,S153

CLC: > Mathematical sciences and chemical > Mathematics > Operations Research > Optimization of the mathematical theory
© 2012 www.DissertationTopic.Net  Mobile