An Optimal Thirty-Second-Order Iterative Method for Solving Nonlinear Equations and a Conjecture [PDF]
, 2022 Many multipoint iterative methods without memory for solving non-linear equations in one variable are found in the literature. In particular, there are methods that provide fourth-order, eighth-order or sixteenth-order convergence using only ...
Varona Malumbres, Juan Luis [0000-0002-2023-9946] +1 more
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Fast iterative solvers for PDE-constrained optimization problems [PDF]
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
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Iterative learning control for multiple point-to-point tracking application [PDF]
, 2011 A framework is developed which enables a general class of linear Iterative Learning Control (ILC) algorithms to be applied to tracking tasks which require the plant output to reach given points at predetermined time instants, without the need for ...
Cai, Zhonglun +7 more
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Norm Optimal Iterative Learning Control with Application to Problems in Accelerator based Free Electron Lasers and Rehabilitation Robotics [PDF]
, 2010 This paper gives an overview of the theoretical basis of the norm optimal approach to iterative learning control followed by results that describe more recent work which has experimentally benchmarking the performance that can be achieved.
Owens, D H +7 more
core +2 more sources
Fast interior point solution of quadratic programming problems arising from PDE-constrained optimization [PDF]
, 2017 Interior point methods provide an attractive class of approaches for solving linear, quadratic and nonlinear programming problems, due to their excellent efficiency and wide applicability.
Gondzio, Jacek +4 more
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Discrete-time model-based Iterative Learning Control: stability, monotonicity and robustness [PDF]
, 2007 In this thesis a new robustness analysis for model-based Iterative Learning Control (ILC) is presented. ILC is a method of control for systems that are required to track a reference signal in a repetitive manner.
Harte, Thomas James
core +6 more sources
An innovative subdivision-ICP registration method for tool-path correction applied to deformed aircraft parts machining [PDF]
, 2010 A new and fast registration algorithm has been proposed to update the tool-path of a deburring robot, intended to machining composite workpieces under gravity and clamping deformations.
Richard Béarée +5 more
core +1 more source
Linear stationary iterative methods for the force-based quasicontinuum approximation [PDF]
, 2012 Force-based multiphysics coupling methods have become popular since they provide a simple and efficient coupling mechanism, avoiding the difficulties in formulating and implementing a consistent coupling energy.
Luskin, Mitchell Barry +1 more
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EPJ Web of Conferences, 2018 In this paper we propose a generating function method for constructing new two and three-point iterations with p (p = 4, 8) order of convergence. This approach allows us to derive a new family of optimal order iterative methods that include well known ...
Zhanlav Tugal +2 more
doaj +1 more source
On the Simplex Algorithm Initializing
Abstract and Applied Analysis, 2012 This paper discusses the importance of starting point in the simplex algorithm. Three different methods for finding a basic feasible solution are compared throughout performed numerical test examples.
Nebojša V. Stojković +3 more
doaj +1 more source