Results 21 to 30 of about 293 (242)

On the Kantorovich Theory for Nonsingular and Singular Equations

Axioms
We develop a new Kantorovich-like convergence analysis of Newton-type methods to solve nonsingular and singular nonlinear equations in Banach spaces.
Ioannis K. Argyros, Santhosh George, Samundra Regmi, Michael I. Argyros   +3 more
doaj   +2 more sources

A Semilocal Convergence for a Uniparametric Family of Efficient Secant-Like Methods [PDF]

Journal of Function Spaces, 2014
We present a semilocal convergence analysis for a uniparametric family of efficient secant-like methods (including the secant and Kurchatov method as special cases) in a Banach space setting (Ezquerro et al., 2000–2012).
I. K. Argyros, D. González, Á. A. Magreñán   +2 more
doaj   +2 more sources

Newton's method and regularly smooth operators

Journal of Numerical Analysis and Approximation Theory, 2011
A semilocal convergence analysis for Newton's method in a Banach space setting is provided in this study. Using a combination of regularly smooth and center regularly smooth conditions on the operator involved, we obtain more precise majorizing sequences
Ioannis K. Argyros
doaj   +4 more sources

Hybrid Chebyshev-Type Methods for Solving Nonlinear Equations

Mathematics
Chebyshev-type methods have replaced the Chebyshev method in practice for solving nonlinear equations in abstract spaces. These methods are of the same R-order of three.
Ioannis K. Argyros, Santhosh George
doaj   +2 more sources

Extending the Applicability of a Two-Step Vectorial Method with Accelerators of Order Five for Solving Systems of Equations

Mathematics
The local convergence analysis of a two-step vectorial method of accelerators with order five has been shown previously. But the convergence order five is obtained using Taylor series and assumptions on the existence of at least the fifth derivative of ...
Ioannis K. Argyros, Stepan Shakhno, Yurii Shunkin, Samundra Regmi, Nirjal Shrestha   +4 more
doaj   +2 more sources

A Study of at Least Sixth Convergence Order Methods Without or with Memory and Divided Differences for Equations Under Generalized Continuity

Mathematics
Multistep methods typically use Taylor series to attain their convergence order, which necessitates the existence of derivatives not naturally present in the iterative functions. Other issues are the absence of a priori error estimates, information about
Ioannis K. Argyros, Ramandeep Behl, Sattam Alharbi, Abdulaziz Mutlaq Alotaibi   +3 more
doaj   +2 more sources

Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations

Algorithms
Iterative algorithms requiring the computationally expensive in general inversion of linear operators are difficult to implement. This is the reason why hybrid Newton-like algorithms without inverses are developed in this paper to solve Banach space ...
Ioannis K. Argyros, Santhosh George, Samundra Regmi, Christopher I. Argyros   +3 more
doaj   +2 more sources

Majorizing measures for the optimizer [PDF]

, 2020
The theory of majorizing measures, extensively developed by Fernique, Talagrand and many others, provides one of the most general frameworks for controlling the behavior of stochastic processes.
Olver, Neil, Dadush, D.N. (Daniel), Dadush, Daniel, Borst, S.J. (Sander), Sinha, M. (Makrand), Borst, Sander, Sinha, Makrand, Olver, N.K. (Neil)   +7 more
core   +1 more source

Two Point Iterative Schemes for Nondifferentiable Equations in Banach Space

European Journal of Mathematical Analysis, 2023
The local as well as the semi-local convergence analysis is established for a certain single step-two point iterative scheme defined on a Banach space setting. These schemes converge to a locally unique solution of a nonlinear equation.
Ioannis K. Argyros, Janak Joshi, Samundra Regmi   +2 more
doaj   +1 more source

Nucleotide and primary sequence of a major rice prolamine [PDF]

FEBS Letters, 1988
A recombinant cDNA clone encoding a major rice seed storage prolamine was isolated by antibody screening of a cDNA λgt 11 library. This clone contained a single open reading frame encoding a putative rice prolamine precursor (M r17 300). In contrast to other cereal prolamines, the primary sequence of the rice prolamine was devoid of any major tandem ...
Kim, Woo Taek, Okita, Thomas W.
openaire   +2 more sources