caa a22 4500 606217304 CHVBK 20210128101107.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s10598-015-9286-x doi (NATIONALLICENCE)springer-10.1007/s10598-015-9286-x The Spectrum of a Nonlocal Difference Operator with Variable Coefficients [Elektronische Daten] [A. Gulin, V. Morozova] The spectrum of a non-symmetric matrix A is studied, which resulting from difference approximation of the differential operators of the second order with nonlocal boundary conditions and variable coefficients. Such matrices can be both simple and double real eigenvalue and a complex conjugate pairs of eigenvalues. The original matrix A is mapped to the so-called associated matrix L - symmetric tridiagonal matrix, little differing from A . It is known that all eigenvalues of the matrix L are real and different. They can be found by the bisection method using a sequence of the Sturm's polynomials. In the paper on the basis of numerous examples are compared the properties of the spectra of matrices L and A . The method offers of approximate calculating of eigenvalues of the matrix A . Springer Science+Business Media New York, 2015 finite-difference scheme nationallicence variable coefficients nationallicence eigenvalues nationallicence Gulin A. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Morozova V. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/4(2015-10-01), 484-500 1046-283X 26:4<484 2015 26 10598 https://doi.org/10.1007/s10598-015-9286-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10598-015-9286-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gulin A. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 700 1- Morozova V. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia aut NATIONALLICENCE 773 0- Computational Mathematics and Modeling Springer US; http://www.springer-ny.com 26/4(2015-10-01), 484-500 1046-283X 26:4<484 2015 26 10598