Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications" In this chapter we extend the solvability of penalized nonlinear least squares problems using the proximal Gauss–Newton method. Moreover, a numerical example validating the theoretical results is also presented.
Magreñán, Á. Alberto (1) +1 more
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Summary: We present a modification of Newton's method for finding a zero of a multivariable function without an inverse of a matrix in a recurrence. The aim of this paper is twofold: demonstrating at least quadratic convergence of a Newton-type method avoiding matrix inversion under standard assumptions, and then comparing modified and classical Newton'
Massalski, Marcin +1 more
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The research presented in this paper concerns the determination of the attraction basins of Newton’s iterative method, which was used to solve the non-linear systems of observational equations associated with the geodetic measurements.
Winnicki Ireneusz +2 more
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On parametric representation of the Newton's aerodynamic problem. [PDF]
Barsuk AA, Paladi F.
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Approximations of continuous Newton's method: An extension of Cayley's problem
Continuous Newton's Method refers to a certain dynamical system whose associated flow generically tends to the roots of a given polynomial. An Euler approximation of this system, with step size $h=1$, yields the discrete Newton's method algorithm for ...
Jon Jacobsen, Owen Lewis, Bradley Tennis
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A Low-complexity Successive Detection Method for OFDM Systems over Doubly Selective Channels
For OFDM systems, the time variation of a multipath channel results in inter-carrier interference (ICI). It leads to performance degradations. In reducing the problem, current successive detection methods cost very high computationalcomplexities.
Chih-Liang Chen, Sau-Gee Chen
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Multi-order analytical solving computation of rainstorm causal decomposition during typhoons using a designed key-lock quasi-Newton optimizing derivation. [PDF]
Huang CL, Hsu NS, Yao CH, Lo WC.
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Transient flow and heat transfer of CuO-Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O hybrid nanofluid flow over a radially stretching surface with dissipation and ohmic heating. [PDF]
Ragavi M, Poornima T, Sreenivasulu P.
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Fitness integrated with technology approach to teaching biomechanics and STEM in a high school setting: a case report. [PDF]
Evans S, Willis C.
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Coupling Models of Resistive Valves to Muscle Mechanics in Cardiac Fluid-Structure Interaction Simulations. [PDF]
Bucelli M, Dede L.
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