Solving matrix polynomial equations with nested continued fractions
Fìz.-mat. model. ìnf. tehnol. 2021, 33:57-61
Keywords:
matrix polynomial equations, nested chain fractions
Abstract
A new general approach for solving matrix polynomial equations of arbitrary order with matrix or vector unknowns is proposed in the work with the use of nested continued fractions.
References- Bodnar, D. I. (1986). Vetvyashchye tsepnye droby. – K. Nauk. dumka. (in Russian).
- Grigorkov, V. S. (2007). Modeling of ecological and economic interaction: Textbook. Chernivtsi: Ruta. (in Ukrainian).
- Nedashkovskyy, M. O. (2003). Signs of convergence of matrix branched chain fractions. Mathematical methods and physical and mechanical fields. Lviv, 46(4), 50-56. (in Ukrainian).
- Skorobogatko, V. Ya. (1983). Theory of branching chain fractions and its application in computational mathematics. – M .: Nauka. (in Russian).
- Lorentzen, L., Waadeland, H. (1992). Continued fractions with applications. Amsterdam: Elsevier Publishers B.V.
- Jones, W. B., Thron, W. J. (1980). Continued fractions: analytic theory and applications, Encyclopedia of Mathe-matics and its Applications 11, Massachusetts: Addison-Wesley Publishing Company.
Published
2021-09-03
How to Cite
Nedashkovskyy, M. (2021). Solving matrix polynomial equations with nested continued fractions. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (33), 57-61. https://doi.org/10.15407/fmmit2021.33.057
Section
Articles
Copyright (c) 2021 Олег Богданович Браташ; Mykola Nedashkovskyy (Автор)

This work is licensed under a Creative Commons Attribution 4.0 International License.