Dissertation > Excellent graduate degree dissertation topics show

Sufficient and Necessary Conditions of the Convergence of AOR and 2PPJ Iterative Methods for a Special Class of Matrices

Author: GaoShuLing
Tutor: ChangDaWei
School: Shaanxi Normal University
Course: Computational Mathematics
Keywords: Extrapolation iterative matrix AOR iterative method 2PPJ iterative method Convergence The necessary and sufficient conditions
CLC: O241.6
Type: Master's thesis
Year: 2010
Downloads: 30
Quote: 0
Read: Download Dissertation

Abstract


Algorithm for solving a large sparse matrix linear equations, has been the value of the workers in the study. Iterative rule of thumb is to solve an important method for this type of Linear Equations. Iterative scheme convergence and convergence rate is becoming address the core of the various types of linear equations. iterative format choices directly affect the result of good or bad of a variety of linear equations, especially in recent years, is to become the focus of many people, which can be seen, the iteration unusual scientific value and practical significance of the Study. general, the iterative convergence of the nature of the coefficient matrix is ??closely related to the M array consistently ordered array. different matrix iterative method is not the same. discuss an iterative, usually based on a certain type of matrix premise. consistently ordered matrix and consistently ordered vector since the fifth chapter of the book of the Young \has been a lot of discussion in the literature on the group AOR method of convergence, but the results are mostly fully non-necessary conditions of convergence. scholars matrix A (1,1), respectively, for the coefficients of the linear equations consistently ordered array and Jacobi Matrix eigenvalues ??are all real numbers or all pure imaginary or zero conditions to discuss the convergence of the AOR range, gives a necessary and sufficient condition for such equations AOR iterative convergence. text Part 3 major to discuss the convergence of two common iteration AOR Iterative 2PPJ of iterations. summarizes the conditions of the convergence of two iterative methods and seek convergence of two iterative methods. extrapolation iteration in Chapter 1 of this paper and some basic knowledge of linear equations, the part to pave the way for the second three chapters. Chapter 2 of this article focuses on when the coefficient matrix of linear equations A (1,1) consistently ordered matrix and the eigenvalues ??of the Jacobi matrix equal to the modulus of the real part and the imaginary part of the mold plural AOR iterative convergence range problem. gives a necessary and sufficient condition for such equations AOR iterative convergence discussed in Chapter 3 of this paper when linear The convergence range of 2PPJ iterative equations AX = 6 coefficients of the Jacobi matrix of the matrix A is equal to the modulus of the eigenvalues ??of the real and imaginary parts. come to such linear equations a necessary and sufficient condition for 2PPJ iterative convergence. Some numerical example is given to this result be explained.

Related Dissertations

  1. The Semilocal Convergence Properties of Super-Halley Method and Newton Method under Weak Conditions,O241.7
  2. Dilemma and Way Out of TV Media in Media Convergence Abstract,G206
  3. Fans Cultural Effects in Television Broadcasting,G223
  4. The Discussed on the Zeros and Except Values of Complex Differences Functions,O174.5
  5. Research on the Improvements and Applications of Particle Swarm Optimization,TP18
  6. Convergence analysis of the regional energy consumption intensity,F206;F124
  7. Research on Modification and Application of Particle Swarm Optimization Algorithm Based on Control Methods,TP301.6
  8. Shanghai World Expo news content and mode of fusion research,G206
  9. Research on Economic Growth Disparities and Factors between Municipal Districts in Hebei Province,F127
  10. The Research on the Dynamic Early-Warning of Credit Risk Based from the Commercial Banks’ Perspective,F830.33
  11. Conditions for the Superlinear Convergence of Quasi-Newton Methods on Degenerate Solutions,O224
  12. Fundamentals of Statistical Learning Theory Based on Random Set Simples,O212.2
  13. The Breakthrough of the Network Convergence,G211
  14. Study of Network Convergence Based on Nortel ATM Switch,TN915.2
  15. GPON Optical Network Terminal (ONT) Key Technologies,TN929.1
  16. Research on the Issue of Building Regulatory System of Triple Play,F626
  17. A Researech on Techonlogy Progress and Influencing Factors,F124.3
  18. Study on the Disparity and Convergence of the Chang-Delta District Economic Growth,F224
  19. Two New Strongly Sub-Feasible and Quasi-Strongly Sub-Feasible Algorithms for Inequality Constrained Optimization,O221.2
  20. The Applications of Alternating Projections Method,O224
  21. New Curriculum Teaching middle and high school physics studies the problem of convergence,G633.7

CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > Linear algebra method of calculating
© 2012 www.DissertationTopic.Net  Mobile