The monograph studies some methods and algorithms for numerical solution of spectral problems and problems related to them for one- and two-parameter polynomial and rational matrices. A review of some known methods based on rank factorization of constant matrices (the SVD and QR-decomposition algorithms) is suggested. The rank factorization approach is generalized to one- and two-parameter polynomial and rational matrices. Methods and algorithms for solving some parametric problems of algebra are constructed by using rank-factorization methods.

**Kublanovskaya V. N.**Methods and algorithms of solving spectral problems for polynomial and rational mathrices .......7 (.ps.gz)-
**Paging: 329 pp.** **Language: Russian**

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