"Zapiski Nauchnyh Seminarov POMI"
This issue is entitled "Numerical Methods and Algorithms.
editor V. N. Kublanovskaya
The monograph studies some methods and algorithms for
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.