Results 11 to 20 of about 645,761 (266)

Two-step secant type method with approximation of the inverse operator

Karpatsʹkì Matematičnì Publìkacìï, 2013
The two-step secant type method with a consistent approximation of the inverse operator for solving nonlinear equations is proposed. The local convergence of the proposed method is studied and the quadratic convergence order is established.
S.M. Shakhno, H.P. Yarmola
doaj   +8 more sources

A unified convergence analysis for secant-type methods [PDF]

Journal of the Korean Mathematical Society, 2014
We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis Konstantinos, Magreñán, Ángel Alberto [0000-0002-6991-5706]   +1 more
core   +5 more sources

Extending the solvability of equations using secant-type methods in Banach space

Journal of Numerical Analysis and Approximation Theory, 2021
We extend the solvability of equations dened on a Banach space using numerically ecient secant-type methods. The convergence domain of these methods is enlarged using our new idea of restricted convergence region.
Ioannis K. Argyros, Santhosh George
doaj   +8 more sources

On the semilocal convergence of efficient Chebyshev–Secant-type methods [PDF]

Journal of Computational and Applied Mathematics, 2011
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 a semilocal convergence analysis for (CSTM) using recurrence relations.
Argyros, null, Gutiérrez, J.M., Ezquerro, J.A., J.A. Ezquerro, M.A. Hernández, J.M. Gutiérrez, I.K. Argyros, S. Hilout, Hilout, null, Hernández, M.A., Argyros, I.K., Gutiérrez, null [0000-0002-0434-7250], Hernández, null [0000-0001-5478-2958], Hilout, S., Ezquerro, null [0000-0001-8120-167X]   +14 more
core   +5 more sources

Convergence conditions for Secant-type methods [PDF]

Czechoslovak Mathematical Journal, 2004
summary:We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-
Argyros, Ioannis K, Hilout, Said, Argyros, Ioannis K.   +2 more
core   +2 more sources

Semilocal convergence of the secant method under mild convergence conditions of differentiability [PDF]

Computers and Mathematics With Applications, 2002
In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Hölder ...
M A Hernández, M J Rubio
exaly   +2 more sources

Hydrogen Solubility in Metal Membranes: Critical Review and Re-Elaboration of Literature Data [PDF]

Membranes
This study undertakes a thorough examination of hydrogen solubility within various metal-alloy membranes, including those based on palladium (Pd), vanadium (V), niobium (Nb), tantalum (Ta), amorphous alloys and liquid gallium (Ga).
Giuseppe Prenesti, Alessia Anoja, Pierfrancesco Perri, Abdulrahman Yaqoub Alraeesi, Shigeki Hara, Alessio Caravella   +5 more
doaj   +2 more sources

Finding Zeros of Analytic Functions: α Theory for Secant Type Methods

Journal of Complexity, 1999
We present new results concerning the convergence of secant type methods with only conditions at a point. The radius of robustness of these methods is given, and we apply it to the study of the complexity of homotopy methods for approximating roots.
Yakoubsohn, Jean-Claude
core   +3 more sources

Semilocal convergence of a Secant-type method under weak Lipschitz conditions in Banach spaces [PDF]

Journal of Computational and Applied Mathematics, 2018
[EN] The semilocal convergence of double step Secant method to approximate a locally unique solution of a nonlinear equation is described in Banach space setting. Majorizing sequences are used under the assumption that the first-order divided differences
Abhimanyu Kumar, Eulalia Martínez, D.K. Gupta, Sukhjit Singh, Singh, Sukhjit, Kumar, A., Gupta, D.K., Martínez Molada, Eulalia   +7 more
core   +3 more sources

The Secant method and divided differences Hölder continuous

Applied Mathematics and Computation, 2001
We apply the Secant method to solve non-linear operator equations in Banach spaces. A semilocal convergence result is obtained, where the first-order divided difference of the non-linear operator is Hölder continuous.
M A Hernández, M J Rubio
exaly   +1 more source