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Showing 1 to 20 of 56 for “"Newton's method"”.
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Data Mining with Newton's Method.
… In addition, we propose a modified multivariate Newton's method (NM) approach to data mining of technical data. Several strategies are employed to stabilize Newton's method to pathological function behavior. NM is compared to GAs and to the simplex evolutionary operation algorithm (EVOP). We find …
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Newton's method for parametric center problems
Thesis (Ph. D.)--Massachusetts Institute of Technology, Sloan School of Management, 1990.
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An Examination of the Strengths and Weaknesses of Newton's Method for Nonlinear Optimization
… linear and nonlinear optimization. While other methods are mentioned, the focus is on analytical methods used to solve nonlinear optimization problems. We briefly look at some of the most effective constrained methods for nonlinear optimization and then show how unconstrained methods often play …
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Some Modifications to Newton's Method for the Determination of the Steady State Response of Nonlinear Circuits
Made available in DSpace on 2014-12-12T20:55:06Z (GMT). No. of bitstreams: 1 8009052.pdf: 3949922 bytes, checksum: 2b3b9b29061fdbe3fdbe59ba26a9c48b (MD5) Previous issue date: 1979
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El método de Newton en espacios de Banach
Newton's method is a well known iterative method to solve a nonlinear equation F(x) = 0. We analyze the convergence of this method for operators defined between two Banach spaces, so our results can be applied in a wide range of problems, such as real or complex equations, nonlinear systems of …
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Métodos iterativos aplicados a la ecuación de Kepler
… and numerical analysis, represented by iterative methods of solving equations. We investigate the behavior of a point methods (such as Newton's method, Halley's method, Chebyshev's method, super-Halley's method and Danby's method) and multipoint methods (such as the secant's method, bisection's …
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Towards Real-Time Simulation Of Hyperelastic Materials
We propose a new method for physics-based simulation supporting many different types of hyperelastic materials from mass-spring systems to three-dimensional finite element models, pushing the performance of the simulation towards real-time. Fast simulation methods such as Position Based Dynamics …
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Minimal Norm Constrained Interpolation
… nonlinear system of equations. We show that with Newton's method we have an exceptionally attractive and efficient method for solving this nonlinear system of equations.</p> <p>We display examples of such interpolants as well as convergence results obtained by using Newton's method. We list a …
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Systems of Nonlinear Algebraic Equations Arising in Simulation of Semiconductor Devices
… device. We use standard finite difference methods to discretize these equations and derive systems of nonlinear equations. Due to the extremely large number of unknowns it is prohibitively expensive to use Newton's method. However, the Jacobians of these systems are relatively simple to …
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Advanced response matrix methods for full core analysis
… full reactor cores with high fidelity transport methods is a difficult task, requiring the largest computers available today. This thesis presents work on an alternative approach using the eigenvalue response matrix method (ERMM). The basic idea of ERMM is to decompose a reactor spatially into …
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Modeling and control of cadmium zinc telluride grown via an electro-dynamic gradient freeze furnace.
… are used to study the effect of novel processing methods to grow bulk, single crystal cadmium zinc telluride (CZT) in a vertical Bridgman (VB) furnace. Additionally, we investigate new mathematical algorithms for improved solving capability of equations that describe such crystal growth systems. A …
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Zeros of P-Adic L-Functions and Densities Relating to Bernoulli Numbers
… of ('i)(kappa) are calculated using a p-adic Newton's method and the formula for L(,p)(s,(chi)(,i)) derived by L. Washington. After the calculation the zeros ('i)(kappa) are transformed to zeros ('i-1)(omega) of corresponding p-adic power series used in the study of cyclotomic fields and …
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Analysis and algorithms for parametrization, optimization and customization of sled hockey equipment and other dynamical systems
… inference and prediction. We further apply the methodologies on sled hockey, an adaptation of stand-up hockey, allows people with physical disabilities to participate in the game of ice hockey. First, we develop and implement numerical algorithms to study the nonlinear dynamics described by …
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Airplane trajectory expansion for dynamics inversion
… differentiation, fixed point iteration and a Newton's method solution to nonlinear equations. It considers trajectories that are smooth, piecewise smooth, and noise ridden. The resulting formulation was coded into a FORTRAN program. When tested against simple smooth maneuvers, the program …
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Galerkin Projections Between Finite Element Spaces
… elliptic PDEs with Galerkin finite element methods. For nonlinear PDEs, solving the nonlinear problem with Newton's method requires an initial guess of the solution on a refined space, which can be found by interpolating the solution from a previous refinement. Improving the accuracy of the …
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A decentralised graph-based framework for electrical power markets
… market based on the DC optimal power flow where Newton's method is solved using graph techniques. Based on this ground, the main principles associated to the solution of systems of linear equations using a proper graph representation are presented. Then, the burden imposed by the handling of rows …
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Studies on counterflow diffusion flames
… boundary value problem numerically using Newton's method with a well defined analytical Jacobian. Based on the numerical results, a considerable increase in strain rate at the flame due to thermal expansion is observed, especially for fuel lean conditions. Finally, a potential flow that …
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Optimal Electrodynamic Tether Phasing and Orbit-Raising Maneuvers
… using a global, stochastic optimization method called Adaptive Simulated Annealing. The method uses Markov chains and the system's cost function to narrow down the search space. Newton's Method brings the error in the residual to below a specific tolerance. We compare the EDT solutions to …
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Rational Interpolation Methods for Nonlinear Eigenvalue Problems
… of this work connects recent contour integration methods to the theory and practice of system identification. This observation leads us to explore rational interpolation for system realization, producing a Loewner matrix contour integration technique. The second development of this work studies …
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