On a certain algorithm of eigenvalue localization for normal operators
On determination of eigenvalues and eigenvectors of selfadjoint operators
Two simple methods for approximate determination of eigenvalues and eigenvectors of linear self-adjoint operators are considered in the following two cases: (i) lower-upper bound of the spectrum of is an isolated point of ; (ii) (not necessarily an isolated point of with finite multiplicity) is an eigenvalue of .
On Morozov's method for Tikhonov regularization as an optimal order yielding algorithm.
On spectral approximation. Part 1. The problem of convergence
On spectral approximation. Part 2. Error estimates for the Galerkin method
On strongly stable approximations.
In this paper we prove that the convergence of (T - Tn)Tn-k to zero in operator norm (plus some technical conditions) is a sufficient condition for Tn to be a strongly stable approximation to T, thus extending some previous results existing in the literature.
On the convergence of eigenvalues for mixed formulations
On the convergence of semiiterative methods to the Drazin inverse solution of linear equations in Banach spaces.
On the Fast Convergence of a Galerkin-Like Method for Equations of the Second Kind.
On the Operational Solution of a System of Fractional Differential Equations
MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and...
On the Regularization of Projection Methods for Solving Ill-Posed Problems.
On the relationship between difference and projection-difference methods
On the Steps of Convergence of Approximate Eigenvectors in the Rayleigh-Schrödinger Series.
Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations.
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