CALCULATING THE SEQUENCE OF MAIN MINORS OF THE TOEPLITZ BAND MATRIX

Author(s):  M. S. Apanovich, candidate of Sciences, no, Krasnoyarsk State Medical University named after Prof. V. F. Voino-Yasenetsky, Krasnoyarsk, Russia, marina.apanovich@list.ru

A. P. Lyapin, candidate of Sciences, no, Siberian Federal University , Krasnoyarsk, Russia

К. V. Shadrin, no, no, Krasnoyarsk State Medical University named after Prof. V. F. , Krasnoyarsk, Russia, kvsh-buffon@mail.ru

Issue:  Volume 52, № 1

Rubric:  Mathematics

Annotation:  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

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

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