Gyurhan H. Nedzhibov†
Abstract: In the present research, we take another look at the relatively new method for computing eigenvalues and eigenvectors of the Frobenius companion matrix. The purpose of the paper is to interpret the method considered in terms of oblique projection methods, i.e. as a Galerkin type method. Based on this dependence, we derive some new theoretical results. We establish certain error estimates, which will contribute to further studies of the convergence analysis of the method under consideration.
MSC: 65H04, 65F15
keywords: Eigenvalue problem, Frobenius companion matrix, Projection methods, Oblique projection methods, Rayleigh quotient.
DOI 10.56082/annalsarscimath.2021.1-2.59
†g.nedzhibov@shu.bg Faculty of Mathematics and Informatics, Shumen University, Shumen 9700, Bulgaria; Paper written with nancial support of Shumen University under Grant RD 08-93/01.02.2019.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 13 no 1-2, 2021
