论文信息 - A method for eigenvalues of sparse λ-matrices

A method for eigenvalues of sparse λ-matrices

The matrix N(λ) whose elements are functions of a parameter λ is called the λ-matrix. Those values of λ that make the matrix singular are of great interest in many applied fields. An efficient method for those eigenvalues of a λ-matrix is presented. A simple explicit convergence criterion is given, as well as the algorithm and two numerical examples.

Wei H. Yang | W. H. Yang

[1] Wei H. Yang,et al. Waves in periodically structured media , 1975 .

[2] G. Stewart,et al. An Algorithm for Generalized Matrix Eigenvalue Problems. , 1973 .

[3] J. Uhlig. C. Forsythe and C. B. Moler, Computer Solution of Linear Algebraic Systems. (Series in Automatic Computation) XI + 148 S. Englewood Cliffs, N.J. 1967. Prentice-Hall, Inc. Preis geb. 54 s. net , 1972 .

[4] V. Kublanovskaya. On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices , 1970 .

[5] L. B. Rall,et al. Computational Solution of Nonlinear Operator Equations , 1969 .

[6] M. R. Osborne,et al. A method for finite-difference approximation to ordinary differential equations , 1964, Computer/law journal.