RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2022 Volume 62, Number 5, Pages 742–756 (Mi zvmmf11393)

General numerical methods

Algorithm for separating matrix spectrum by an angle

È. A. Biberdorf

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia

Abstract: An algorithm for separating the matrix spectrum by a piecewise-smooth curve, namely, by an angle, is presented. A complete description of the problem and its solution is given. The presentation begins from its statement and brief exposition of the theoretical foundations of the basic dichotomy algorithms and ends with numerical examples of using the matrix spectrum dichotomy algorithm by the angle.

Key words: matrix spectrum, angular domain, sectorial operator, spectrum dichotomy.

UDC: 519.613

Received: 21.09.2021
Revised: 12.11.2021
Accepted: 14.01.2022

DOI: 10.31857/S0044466922050027


 English version:
Computational Mathematics and Mathematical Physics, 2022, 62:5, 719–732

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024