Calculating the sequence of main minors of the toeplitz band matrix

Authors

  • M. S. Apanovich Krasnoyarsk State Medical University named after Prof. V. F. Voino-Yasenetsky
  • A. P. Lyapin Siberian Federal University
  • К. V. Shadrin Krasnoyarsk State Medical University named after Prof. V. F.

DOI:

https://doi.org/10.18413/2687-0959-2020-52-1-5-10

Keywords:

polynomial difference operator, Cauchy problem, solvability, band matrix, toeplitz matrix, main minor

Abstract

 In this paper, we consider an algorithm that allows you to calculate the sequence of the main minors of the Toeplitz band matrix associated with the Cauchy problem for a two-dimensional polynomial difference operator with constant coe cients, with an upper (lower) band width equal to one, which allows us to determine the non-degeneracy of such a matrix and, therefore, draw conclusions on the solvability of the Cauchy problem

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Author Biographies

M. S. Apanovich, Krasnoyarsk State Medical University named after Prof. V. F. Voino-Yasenetsky

candidate of Sciences

A. P. Lyapin, Siberian Federal University

Kандидат наук,

доцент базовой кафедры вычислительных и информационных технологий

К. V. Shadrin, Krasnoyarsk State Medical University named after Prof. V. F.

старший преподаватель кафедры медицинской кибернетики и информатики


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Published

2020-05-12 — Updated on 2020-06-15

How to Cite

Apanovich, . M. S. ., Lyapin, A. P. ., & Shadrin К. V. . (2020). Calculating the sequence of main minors of the toeplitz band matrix. Applied Mathematics & Physics, 52(1), 5-10. https://doi.org/10.18413/2687-0959-2020-52-1-5-10

Issue

Vol. 52 No. 1 (2020)

Section

Mathematics

Copyright (c) 2020 Applied Mathematics & Physics

Creative Commons License

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

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