Results 71 to 80 of about 21,430,598 (179)
Mixed complementarity problems: Regularity, error bounds, and Newton-type methods
, 2020 This paper is devoted to mixed complementarity problems (variational inequalities on a box). This class includes many important problem statements, for example, systems of equations, conventional complementarity problems, and Karush-Kuhn-Tucker systems ...
Daryina A.N. +2 more
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Newton-type decomposition methods in large-scale dynamic process simulation
, 2001 For the plantwide dynamic simulations in the chemical process industry, a parallel approach using a divide and conquer strategy is developed, and its realization on parallel computers with shared memory is discussed.
Borchardt, Jürgen
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Globalization technique for projected Newton–Krylov methods
, 2017 Large-scale systems of nonlinear equations appear in many applications. In various applications, the solution of the nonlinear equations should also be in a certain interval.
Chen, Jinhai (author) +1 more
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Backward Step Control for Global Newton-Type Methods
SIAM Journal on Numerical Analysis, 2016 We present and analyze a new damping approach called backward step control for the globalization of the convergence of Newton-type methods for the numerical solution of nonlinear root-finding problems. We provide and discuss reasonable assumptions that imply convergence of backward step control on the basis of generalized Newton paths in conjunction ...
openaire +3 more sources
Third-Order Newton-Type Methods Combined with Vector Extrapolation for Solving Nonlinear Systems
, 2020 We present a third-order method for solving the systems of nonlinear equations. This method is a Newton-type scheme with the vector extrapolation. We establish the local and semilocal convergence of this method.
Jisheng Kou, Wen Zhou
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A Lepskij–type Stopping‐Rule for Newton‐type Methods with Random Noise
, 2005 Regularized Newton methods are one of the most popular approaches for the solution of inverse problems in differential equations. Since these problems are usually ill‐posed, an appropriate stopping rule is an essential ingredient of such methods. In this
Frank Bauer +3 more
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Employing a Monte Carlo algorithm in Newton-type methods for restricted maximum likelihood estimation of genetic parameters. [PDF]
PLoS One, 2013 Matilainen K +4 more
europepmc +1 more source
High-order Newton-type iterative methods with memory for solving nonlinear equations [PDF]
, 2014 In this paper, we present a new family of two-step Newton-type iterative methods with memory for solving nonlinear equations. In order to obtain a Newton-type method with memory, we first present an optimal two-parameter fourth-order Newton-type method ...
Wang, Xiaofeng, Zhang, Tie
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A Lepskij-type stopping rule for regularized Newton methods
, 2005 We investigate an a posteriori stopping rule of Lepskij-type for a class of regularized Newton methods and show that it leads to order optimal convergence rates for Hölder and logarithmic source conditions without a priori knowledge of the smoothness of ...
Hohage, Thorsten, Bauer, Frank
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This collection consists of a logbook kept by William A. Newton while he served with the quartermaster of the 33rd Arkansas Infantry, as well as correspondence and documents of the Newton ...
Newton, Earnest Joseph, Jr., 1917-2003; Newton, William A., 1829-1908
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