On the Efficient Solution of Nonlinear Finite Element Equations I.
On the existence of a solution of in some compact sets
On the existence theorems of Kantorovich, Miranda and Borsuk.
On the gap between the semilocal convergence domains of two Newton methods
We answer a question posed by Cianciaruso and De Pascale: What is the exact size of the gap between the semilocal convergence domains of the Newton and the modified Newton method? In particular, is it possible to close it? Our answer is yes in some cases. Using some ideas of ours and more precise error estimates we provide a semilocal convergence analysis for both methods with the following advantages over earlier approaches: weaker hypotheses; finer error bounds on the distances involved, and at...
On the hypoellipticity of pseudo-differential systems with a diagonal principal symbol
On the Local Convergence of Certain Two Step Terative Procedures.
On the order of convergence of Broyden-Gay-Schnabel's method
On the R-Order of Coupled Sequences Arising in Single-Step Type Methods.
On the semilocal convergence of a fast two-step Newton method.
On the Solutions to Polynomial Systems Obtained by Homotopy Methods.
Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent
Opérateurs pseudo-différentiels et classes de Gevrey
Optimal homotopy methods for solving nonlinear systems. Part 1. Nonsingular homotopy paths.
Optimal Solution of Nonlinear Equations Satisfying a Lipschitz Condition.