Розв’язування матричних поліноміальних рівнянь вкладеними ланцюговими дробами: Fìz.-mat. model. ìnf. tehnol. 2021, 33:57-61

• Date: 2021
• Main Author: Nedashkovskyy, Mykola
• Format: Article
• Language: Ukrainian
• Published: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2021
• Subjects: матричні поліноміальні рівняння; вкладені ланцюгові дроби
• Online Access: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/202
• Journal Title: Physico-mathematical modeling and informational technologies

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.