## On an approximation operator and its Lipschitz constant

AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…

AbstractIn this note we consider an approximation operator of Kantorovich type in which expression appears a basic sequence for a…

AbstractAuthorsN. Suciu -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy C. Vamoș -Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy H. Vereecken…

AbstractIn this paper, we continue the study initiated in our previous work [3] and design a projection-like algorithm to approximate…

AbstractPublisher NameWe consider a nonlinear, second-order, two-point boundary value problem that models some reaction-diffusion precesses. When the reaction term has…

AbstractStochastic processes and dynamical systems in measure spaces are defined as classes of random variables in the Doob sense. Markov…

Abstract The Ostrowski theorem is a classical result which ensures the attraction of all the successive approximations xk+1 = G(xk) near a fixed…

Abstract The high q-convergence orders of the inexact Newton iterates were characterized by Ypma in terms of some affine invariant…

Abstract A Gauss-Seidel method for linear systems, based on decomposing the matrix system into four submatrices blocks, has been proposed…

Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…

Abstract We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a…

Book summaryA self-consistent theory of stochastic modeling of groundwater systems is presented. Mathematical theory is illustrated and complemented by numerical methods and simulation codes. doi: http://doi.org/10.1007/978-3-030-15081-5 book on publisher website…

Read More Books, Chebyshev method, Convergence orders, divided differences, eigenvalue/eigenvector problems, history, inexact/perturbed iterations, iterative methods, Krylov methods, linear systems in Rn, local convergence, Newton method, nonlinear systems in Rn, Numerical Analysis, secant/chord method, successive approximations

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by Krylov methods (GMRES, GMBACK, MINPERT) are also dealt with, as…

Read More AbstractBased on fixed point index, the paper develops a theory of existence, localization and multiplicity of solutions to first-order differential systems subject to linear nonlocal conditions. The main features concern…

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