Results 81 to 90 of about 249 (128)

Extension of Newton-Kantorovich Theorem for Subanalytic Equations

Annals of the Alexandru Ioan Cuza University - Mathematics, 2014
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Dynamic gene regulatory network inference from single-cell data using optimal transport. [PDF]

Bioinformatics
Lamoline F, Haasler I, Karlsson J, Gonçalves J, Aalto A.   +4 more
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In-Plane Vibration Analysis of Rectangular Plates with Elastically Restrained Boundaries Using Differential Quadrature Method of Variational Weak Form. [PDF]

Materials (Basel)
Wang X, Zhou W, Yi S, Li S.
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Optimal Control of Underdamped Systems: An Analytic Approach. [PDF]

J Stat Phys
Sanders J, Baldovin M, Muratore-Ginanneschi P.   +2 more
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ON THE NEWTON–KANTOROVICH THEOREM

Analysis and Applications, 2012
The Newton–Kantorovich theorem enjoys a special status, as it is both a fundamental result in Numerical Analysis, e.g., for providing an iterative method for computing the zeros of polynomials or of systems of nonlinear equations, and a fundamental result in Nonlinear Functional Analysis, e.g., for establishing that a nonlinear equation in an infinite-
Ciarlet, Philippe G., Mardare, Cristinel
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Kantorovich theorem for variational inequalities

Applied Mathematics and Mechanics, 2004
The authors consider the known Newton method for variational inequalities and establish its local convergence properties. They specialize some estimates which determine the convergence neighborhood and can be computed explicitly.
Wang, Zhengyu, Shen, Zuhe
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Optimal Error Bounds for the Newton–Kantorovich Theorem

SIAM Journal on Numerical Analysis, 1974
Best possible upper and lower bounds for the error in Newton’s method are established under the hypotheses of the Kantorovich theorem.
Gragg, W. B., Tapia, R. A.
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A GENERALIZED THEOREM OF MIRANDA AND THE THEOREM OF NEWTON–KANTOROVICH

Numerical Functional Analysis and Optimization, 2002
ABSTRACT In this paper, we discuss the theorems of Newton–Kantorovich, the Theorem of Miranda, and the relationship between them. We begin by generalizing Miranda's theorem and propose a converse. Then we show that mappings satisfying the assumptions of the Theorem of Newton–Kantorovich in a strong sense automatically satisfy those of our ...
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