Obere Schranken für Eigenwerte von Eigenwertaufgaben der Form (...2 I Â?...A Â? B) x = 0 . - Upper Bounds for Eigenvalues of Quadratic Eigenvalue Problem.
On a certain algorithm of eigenvalue localization for normal operators
On a certain class of always convergent sequences and the Rayleigh quotient iterations
On a class of iterative procedures for solving nonlinear equations in Banach spaces
On a class of nonlinear eigenvalue problems
On a finite-element collocation method which reproduces the Padé table
On a method of D. Marsal for equations with positive operators
On a new method for enlarging the radius of convergence for Newton's method
We provide new local and semilocal convergence results for Newton's method. We introduce Lipschitz-type hypotheses on the mth-Frechet derivative. This way we manage to enlarge the radius of convergence of Newton's method. Numerical examples are also provided to show that our results guarantee convergence where others do not.
On a quadratically convergent method using divided differences of order one under the gamma condition
We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide an analysis...
On a regularization method for variational inequalities with P_0 mappings
We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.
On a secant-like method for solving generalized equations
In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations). Here, we show that this convergence analysis can be refined under weaker hypothesis, and less computational cost. Moreover finer error estimates on the distances involved and a larger radius of convergence are obtained.
On an analogous iterative method with the method of the tangent hyperbolas
On an application of a Newton-like method to the approximation of implicit functions
On approximate solution of systems of linear ordinary differential equations
On convergence of the iterative methods
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 Generalized Linear Multistep Methods with Zero-Parasitic Roots and an Adaptive Principal Root.
On interations of bounded linear operators and Kellog's iterations in not self-adjoint eigenvalue problems
On iterative solution of nonlinear functional equations in a metric space.
On Lusternik's method of improving convergence of nonlinear iterative sequences