Stable evaluation of differential operators and linear and nonlinear multi-scale filtering.
Steepest descent method on a Riemannian manifold: the convex case.
Steffensen Methods for Solving Generalized Equations
2000 Mathematics Subject Classification: 65G99, 65K10, 47H04.We provide a local convergence analysis for Steffensen's method in order to solve a generalized equation in a Banach space setting. Using well known fixed point theorems for set-valued maps [13] and Hölder type conditions introduced by us in [2] for nonlinear equations, we obtain the superlinear local convergence of Steffensen's method. Our results compare favorably with related ones obtained in [11].
Strong convergence and control condition of modified Halpern iterations in Banach spaces.
Strong convergence of a modified implicit iteration process for a finite family of -operators.
Strong convergence of modified Noor iterations.
Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings.
Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces.
Strong convergence theorems of viscosity iterative methods for a countable family of strict pseudo-contractions in Banach spaces.
Strong Uniqueness. A Far-Reaching Criterion for the Convergence Analysis of Iterative Procedures.
Structural properties of solutions to total variation regularization problems
Structural Properties of Solutions to Total Variation Regularization Problems
In dimension one it is proved that the solution to a total variation-regularized least-squares problem is always a function which is "constant almost everywhere" , provided that the data are in a certain sense outside the range of the operator to be inverted. A similar, but weaker result is derived in dimension two.
Structure et estimations de coefficients d'erreurs
Structure et estimations de coefficients d'erreurs
Su una estensione di un teorema di Tikhonov.
Sublinear Convergence of the Chord Method at Singular Points.
Sufficient conditions for semilocal convergence of a fourth order multipoint iterative method for solving equations in Banach spaces.
Sufficient conditions for the convergence of iterations to points of attraction in Banach space.
Suites concordantes d'espaces normés et leurs applications I
Sur les bornes d'erreur a posteriori pour les éléments propres d'opérateurs linéaires.