Search Results - "Hilout, S."

On the local convergence of fast two-step Newton-like methods for solving nonlinear equations by Argyros, I.K., Hilout, S.

“…A local convergence analysis is presented for a fast two-step Newton-like method (TSNLM) for solving nonlinear equations in a Banach space setting. The TSNLM…”
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Newton-type methods on Riemannian manifolds under Kantorovich-type conditions by Amat, S., Argyros, I.K., Busquier, S., Castro, R., Hilout, S., Plaza, S.

“…One of the most studied problems in numerical analysis is the approximation of nonlinear equations using iterative methods. In the last years, attention has…”
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On the semilocal convergence of efficient Chebyshev–Secant-type methods by Argyros, I.K., Ezquerro, J.A., Gutiérrez, J.M., Hernández, M.A., Hilout, S.

“…We introduce a three-step Chebyshev–Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide…”
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On a bilinear operator free third order method on Riemannian manifolds by Amat, S., Argyros, I.K., Busquier, S., Castro, R., Hilout, S., Plaza, S.

“…We present a semilocal convergence analysis of a bilinear operator free third order method on Riemannian manifolds. Using a combination of generalized…”
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Directional Chebyshev-type methods for solving equations by ARGYROS, I. K., HERNÁNDEZ, M. A., HILOUT, S., ROMERO, N.

“…-variables is presented in this study. Our convergence analysis uses recurrent relations and Newton-Kantorovich-type hypotheses. Numerical examples are also…”
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A generalized thin-film equation in multidimensional space by Boutat, M., Hilout, S., Rakotoson, J.-E., Rakotoson, J.-M.

“…This paper deals with the existence and nonnegativity of the weak periodic-domain solution for a degenerate fourth-order parabolic equation modeling the…”
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Directional Lipschitzian optimal solution of infinite-dimensional optimization problems by Hilout, S.

“…This paper presents a study of the Lipschitz dependence of the optimal solution of elementary convex programs in a Hilbert space when the equality constraints…”
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The generalized thin film equation with periodic-domain conditions by Boutat, M., Hilout, S., Rakotoson, J.-E., Rakotoson, J.-M.

“…In this note, we present some existence results for a nonnegative solution and some qualitative properties of the weak periodic-domain solution related to thin…”
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ENLARGING THE CONVERGENCE DOMAIN OF SECANT-LIKE METHODS FOR EQUATIONS by Argyros, I. K., Ezquerro, J. A., Hernández-Verón, M. A., Hilout, S., Magreñán, Á. A.

“…We present two new semilocal convergence analyses for secant-like methods in order to approximate a locally unique solution of a nonlinear equation in a Banach…”
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Expanding the applicability of secant-like methods for solving nonlinear equations by Argyros, I. K., Ezquerro, J. A., Hernández, M. A., Hilout, S., Romero, N., Velasco, A. I.

“…We use the method of recurrent functions to provide a new semilocal convergence analysis for secant-like methods in order to approximate a locally unique…”
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Traub-type high order iterative procedures on Riemannian manifolds by Amat, S., Argyros, I. K., Busquier, S., Castro, R., Hilout, S., Plaza, S.

“…We present semilocal convergence results for Traub-type high convergence order iterative procedures for approximating zeros of a vector field on Riemannian…”
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Chebyshev-Secant-type Methods for Non-differentiable Operators by Argyros, I. K., Ezquerro, J. A., Gutiérrez, J. M., Hernández, M. A., Hilout, S.

“…In this paper we give a semilocal convergence theorem for a family of iterative methods for solving nonlinear equations defined between two Banach spaces. This…”
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