Abstract: | Methods and algorithms for the solution of spectral problems of singular and regular pencils D(λ, μ)=A(μ)-λB(μ) of polynomial
matrices A(μ) and B(μ) are suggested (the separation of continuous and discrete spectra, the computation of points of a discrete
spectrum with the corresponding, Jordan chains, the computation of minimal indices and a minimal basis of polynomial solutions,
the computation of the determinant of a regular pencil). Bibliography: 13 titles.
Translated by V. N. Kublanovskaya
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 202, 1992, pp. 26–70 |