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To solving inverse eigenvalue problems for parametric matrices
Authors:V N Kublanovskaya  V B Khazanov
Institution:(1) St.Peterburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia;(2) St.Petersburg State Marine Technical University, St.Petersburg, Russia
Abstract:Some statements of inverse eigenvalue problems for one-parameter and multiparameter regular polynomial matrices with linear and nonlinear dependences on spectral parameters are considered. Methods for solving inverse eigenvalue problems based on rank factorization, exhaustion, and reduction to nonlinear equations are proposed. Bibliography: 12 titles. __________ Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 334, 2006, pp. 174–192.
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