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Lobachevskii Journal of Mathematics, 2005, Volume 20, Pages 17–29
(Mi ljm52)
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Application of matrix polynomials to investigation of singular equations
M. V. Bulatov Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences
Abstract:
A class of matrix polynomials having some dominant properties is described, and some characteristic properties of such polynomials have been found. Reduction of integral and integro-differential equations having singular matrices at the main part to systems with nonsingular ones is proposed. For systems of nonlinear finite-dimensional equations with singular Jacobi matrix, the definition for multiplicity of a solution is introduced. Reduction methods of such systems to the systems with isolated solutions, which can be numerically solved by well-known methods, are suggested.
Keywords:
matrix polynomials, differential-algebraic equations, singular integro-differential equations, singular nonlinear equations.
Citation:
M. V. Bulatov, “Application of matrix polynomials to investigation of singular equations”, Lobachevskii J. Math., 20 (2005), 17–29
Linking options:
https://www.mathnet.ru/eng/ljm52 https://www.mathnet.ru/eng/ljm/v20/p17
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Abstract page: | 332 | Full-text PDF : | 113 | References: | 40 |
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