Dissertation > Excellent graduate degree dissertation topics show

The Directed Graph on Non-Negative Circulant Matrices

Author: PengBo
Tutor: FengLiangGui
School: National University of Defense Science and Technology
Course: Mathematics
Keywords: non-negative matrices circulant matrices directed graph irreducibility
CLC: O151.21
Type: Master's thesis
Year: 2007
Downloads: 77
Quote: 1
Read: Download Dissertation

Abstract


Circulant matrices are very special matrices with good properties and structures, which are an important component of the matrix theory and have become one of the most active and vital research fields in applied mathematics and can be widely used in other fields such as control theory[8-15],coding theory[16-18], molecule vibrations theory[19-22] and so on. In this paper, we mostly discuss the combination property of non-negative circulant matrices. Kim K. H and Krabill J. R have given the necessary and sufficient condition of determining the irreducibility on non-negative circulant matrices in [4]. Through constructing the corresponding circle group of the vertex, we mainly do some researches in the structure of the directed graph on non-negative circulant matrices by group theory and graph theory. Moreover, we also gain Kim K. H’s result using a new method and give the expression of the permutation similar standard form on reducible non-negative circulant matrices.

Related Dissertations

  1. Fault Diagnosis on Fuel Control System of a Certain Aero-engine,V263.6
  2. Stability Analysis of a Repairable System with N Failure Model with One Standby Unit,O177.92
  3. The repairable system stability analysis,O177.92
  4. Study on Block Skew-Symmetric and Skew-Circulant Matrix,O151.21
  5. A type of quantum generalized projective representation,O152.5
  6. Study on Skew-Symmetric and Skew-Circulant Matrices,O151.21
  7. Ergodic Theory of Discrete-time Markov Chains,O211.62
  8. Certification body and certification management system,TP393.083
  9. Cyclical Orientations of Graphs,O157.5
  10. The Study on Key Technologies of Multiple Types of Earth Observing Satellites United Scheduling,V474.26
  11. Decompositions of K_ν Into κ-circles with One Chord,O157.5
  12. Research on Fault Diagnosis of Transmission Network and Action Performance Analysis of Relay Protections System,TM727
  13. Research on Dynamic Equalization of Supercapacitors Bank Applied in Electric Bus,TM53
  14. Generalized circulant matrix and its application,O151.21
  15. A Study on Algorithms of Weighted Frequent Pattern Mining,TP311.13
  16. Study on Fault Diagnosis of Thermal Power Plants Based on Multiscale Analysis,TM621
  17. Powers and Products of Some Special Matrices,O151.21
  18. Study on the Multiple-plane and Multiple-stage Packet Switching Technology,TN915.05
  19. SDG Fault Diagnosis Expert System and Its Realization Based on Visual Prolog,TP182
  20. Some Direct and Iterative Criterion for H-matrices,O151.21
  21. Computer-aided fault tree construction methods of automatically,TL364.5

CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Theory of algebraic equations,linear algebra > Linear Algebra > Matrix theory
© 2012 www.DissertationTopic.Net  Mobile