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1. The difficult problems associated with adjacent or confluent eigenvalues are outlined and methods of solution developed and discussed.

2. Having obtained the eigenvalues, can readily find the corresponding eigenvectors.

3. However, complex eigenvalues and vectors are of frequent occurrence, and require special consideration.

4. This notion of eigenvalues gives numbers a natural lodgement in the theory of operators acting on vector spaces.

5. Approximation solution of the algebraic eigenvalue problem.

6. A class of eigenvalue problems is studied.

7. Parallel computation for the nonsymmetric generalized eigenvalue problem is one of the fundamental problems in large scale engineering computation.

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8. Distill the eigenvalue of the magnetic leakage to the second BP data fusion network to judge the length, width, depth.

9. And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.

10. The derivation of eigenvalue problem for characteristic wave number is carried out based on Maxwell equations.

11. Based on mean theorem, the method combines Jacobian's eigenvalue with its eigenvector to form a null space vector of redundant robot.

12. Introduces the two - eigenvalue problem of a symmetric matrix and gives a formula to compute the matrix.

13. Subspace method is an efficient tool for generalized eigenvalue problem in scientific and engineering computing.

14. The eigenvalue problem of radially inhomogeneous cylindrical dielectric waveguides is solved by microwave network method.

15. Although some people have solved the eigenstate and eigenvalue with periodic boundary condition , the open boundary condition has not been given out yet .

16. In this paper, the eigenvalue problems of multilayer dielectric waveguide consisting of arbitrary number of layers are solved by microwave network method.

17. The real numbers which result from making measurements are interpreted as the eigenvalues of the corresponding observable.

18. The chapter ends with an extensive discussion of Kron's eigenvalue method followed by proofs of the Wittrick-Williams and Simpson counting algorithms.

19. Advantageous as that is in its proper place it would be disastrous if such numbers turned up as eigenvalues.

20. Methods The upper-lower solutions, monotone derivative methods, the maximum principle, comparison principle and principal eigenvalue theory were used.

21. Through changing some parameters such as type, frequency, amplitude, offset, and so on, it can get the amplitude eigenvalue that corresponding with the cycle signal and the stochastic signal.

22. The boundary element method is applied to solve the three dimensional boundary value problem. The differential equations are transformed to a generalized eigenvalue problem to be solved.

23. After the equation is set up, using the standard finite element program and subspace iteration algorithm to solve the generalized eigenvalue problem.

24. In this paper we introduce mainly our work on parallel processing for nonsymmetric matrix generalized eigenvalue problem.

25. A novel DOA estimation algorithm based on the largest eigenvalue of the covariance matrix is presented. It mainly applies to the pencil beam smart antenna in DS CDMA systems.

26. As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained.

27. To this end we shall first consider the following eigenvalue problem.

28. It is found that the synchronization time of N linear SDE is determined by the second maximum eigenvalue of interaction matrix.

29. Then stability of the system depends on the corresponding second - order eigenvalue problem.

30. In this paper , We obtain the new bounds for the greatest eigenvalue of a nonnegative matrix.