Some insights into the regularization of ill-posed problems.
Some iterative methods for solving equilibrium problems and optimization problems.
Some possibilities in solving operator equations using non stationary iterative method
Some remarks about the monotone inclusion for solutions of nonlinear equations by regula-falsi-like methods
First, a result of J. W. Schmidt about the monotone enclosure of solutions of nonlinear equations is generalized. Then an iteration method is considered, which is more effective than other known methods. For this method, monotone enclosure statements are also proved.
Some remarks on best regularization
Some theorems on the stability of numerical processes
Nell’articolo si dimostrano alcuni teoremi sulla stabilità dei processi numerici di Ritz e della collocazione in rapporto agli errori di «distorsione».
Spectral approximation of positive operators by iteration subspace method
The iteration subspace method for approximating a few points of the spectrum of a positive linear bounded operator is studied. The behaviour of eigenvalues and eigenvectors of the operators arising by this method and their dependence on the initial subspace are described. An application of the Schmidt orthogonalization process for approximate computation of eigenelements of operators is also considered.
Splines and pseudo-inverses
Stabilité et convergence des méthodes spectrales polynômiales. Application à l'équation d'advection
Stability and error estimates valid for infinite time, for strongly monotone and infinitely stiff evolution equations
Stability and local error of difference methods for the solution of the ordinary differential equation of the first order
Stability for a certain class of numerical methods – abstract approach and application to the stationary Navier-Stokes equations
We consider some abstract nonlinear equations in a separable Hilbert space and some class of approximate equations on closed linear subspaces of . The main result concerns stability with respect to the approximation of the space . We prove that, generically, the set of all solutions of the exact equation is the limit in the sense of the Hausdorff metric over of the sets of approximate solutions, over some filterbase on the family of all closed linear subspaces of . The abstract results are...
Stability of iterative schemes for nonselfadjoint equations
Stability of the Iteration Method for non Expansive Mappings
The general iteration method for nonexpansive mappings on a Banach space is considered. Under some assumption of fast enough convergence on the sequence of (“almost” nonexpansive) perturbed iteration mappings, if the basic method is τ−convergent for a suitable topology τ weaker than the norm topology, then the perturbed method is also τ−convergent. Application is presented to the gradient-prox method for monotone inclusions in Hilbert spaces.
Stability of the method of least squares for finding the eigenvalues of a symmetric operator
Stability of the Rayleigh-Ritz Procedure for Nonlinear Two-Point Boundary Value Problems.
Stability rates for linear ill-posed problems with compact and non-compact operators.
Stable approximations of a minimal surface problem with variational inequalities.
Stable approximations of set-valued maps
Stable discretization methods with external approximation schemes.