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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 334, Pages 174–192 (Mi znsl231)

This article is cited in 2 papers

To solving inverse eigenvalue problems for parametric matrices

V. N. Kublanovskayaa, V. B. Khazanovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b State Marine Technical University of St. Petersburg

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.

UDC: 519

Received: 10.06.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 141:6, 1668–1677

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© Steklov Math. Inst. of RAS, 2025