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Citation - WoS: 1
Citation - Scopus: 1
On a Quadratic Eigenvalue Problem and Its Applications
(Springer Basel Ag, 2013) Atalan, Ferihe; Guseinov, Gusein Sh
We investigate the eigenvalues and eigenvectors of a special quadratic matrix polynomial and use the results obtained to solve the initial value problem for the corresponding linear system of differential equations.
Citation - WoS: 9
Citation - Scopus: 8
On the Eigenvectors of the q-bernstein Operators
(Wiley, 2014) Ostrovska, S.; Turan, M.
In this article, both the eigenvectors and the eigenvalues of the q-Bernstein operators have been studied. Explicit formulae are presented for the eigenvectors, whose limit behavior is determined both in the case 01. Because the classical case, where q=1, was investigated exhaustively by S. Cooper and S. Waldron back in 2000, the present article also discusses the related similarities and distinctions with the results in the classical case. Copyright (c) 2013 John Wiley & Sons, Ltd.