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- structured matrices) sparse s.p.d. linear systems systems of nonlinear equations (including unconstrained optimization) roots ... univariate and multivariate nonlinear equations (simple and clusters) eigenvalue problems (simple and clusters, also inner ... vectorized computations, fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor...
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- interval arithmetic based methods for solving systems of equations and global optimization problems. The connection ... solution intervals. The chapter about solving nonlinear systems of equations (23 pages) features a rather ... Walster’s pioneering concept of 1987 (Nonlinear equations and optimization. Preprint.). The chapter about...
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- presented, which is a fuzzy inference system implemented in the framework of adaptive networks ... nonlinear functions, identify nonlinear components on-line in a control system, and predict a chaotic...
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- fascination and challenge of studying nonlinear systems arises from the complicated spatial, temporal and even ... Furthermore, most of our understanding of specific systems comes from experimental observation or numerical simulations ... mathematical tool for the global analysis of nonlinear spaces and functions, within which homology ... based methods to the analysis of nonlinear systems...
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- user to find solutions to systems of nonlinear constraints or to optimize a nonlinear function ... subject to nonlinear constraints. The field of global optimization is the study ... methods to find all solutions to systems of nonlinear constraints and all global optima...
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- finding zeros or fixed points of nonlinear systems using globally convergent probability-one homotopy algorithms...
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- robust tuning over many classes of nonlinear stochastic systems...