Results 11 to 20 of about 17,094,571 (296)
Reducing Chaos and Bifurcations in Newton-Type Methods [PDF]
Abstract and Applied Analysis, 2013 We study the dynamics of some Newton-type iterative methods when they are applied of polynomials degrees two and three. The methods are free of high-order derivatives which are the main limitation of the classical high-order iterative schemes.
S. Amat, S. Busquier, Á. A. Magreñán
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On a Newton-Type Method for Differential-Algebraic Equations [PDF]
Journal of Applied Mathematics, 2012 This paper deals with the approximation of systems of differential-algebraic equations based on a certain error functional naturally associated with the system.
S. Amat, M. J. Légaz, P. Pedregal
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Journal of Numerical Analysis and Approximation Theory, 1994 Not available.
Ioan Lazăr
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Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators [PDF]
Algorithms, 2015 This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations.
Sergio Amat +3 more
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On the DSM Newton-type method [PDF]
Journal of Applied Mathematics and Computing, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramm, Alexander G., A. G. Ramm
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Inexact Nonconvex Newton-Type Methods [PDF]
INFORMS Journal on Optimization, 2021 The paper aims to extend the theory and application of nonconvex Newton-type methods, namely trust region and cubic regularization, to the settings in which, in addition to the solution of subproblems, the gradient and the Hessian of the objective function are approximated. Using certain conditions on such approximations, the paper establishes optimal
Zhewei Yao +3 more
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Strongly interacting bumps for the schrodinger-newton equations [PDF]
, 2009 We study concentrated bound states of the Schrodinger-Newton equations Moroz, Penrose and Tod proved the existence and uniqueness of ground states.
Winter, M, Wei, J
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Gauss–Newton-type methods for bilevel optimization [PDF]
Computational Optimization and Applications, 2021 AbstractThis article studies Gauss–Newton-type methods for over-determined systems to find solutions to bilevel programming problems. To proceed, we use the lower-level value function reformulation of bilevel programs and consider necessary optimality conditions under appropriate assumptions.
Jörg Fliege +2 more
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Newton-type multilevel optimization method [PDF]
Optimization Methods and Software, 2019 Inspired by multigrid methods for linear systems of equations, multilevel optimization methods have been proposed to solve structured optimization problems. Multilevel methods make more assumptions regarding the structure of the optimization model, and as a result, they outperform single-level methods, especially for large-scale models.
Chin Pang Ho +2 more
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Hybrid Newton-type method for a class of semismooth equations [PDF]
, 2002 In this paper, we present a hybrid method for the solution of a class of composite semismooth equations encountered frequently in applications. The method is obtained by combining a generalized finite-difference Newton method to an inexpensive direct ...
Pieraccini, Sandra
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