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Convergence and Applications of Newton-type Iterations

Ioannis K. Argyros

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Springer New York img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

Beschreibung

This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical results are applied to engineering, dynamic economic systems, input-output systems, nonlinear and linear differential equations, and optimization problems. Accompanied by many exercises, some with solutions, the book may be used as a supplementary text in the classroom for an advanced course on numerical functional analysis.

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Schlagwörter

complexity, optimization, functional analysis, differential equation, convergence analysis, Approximation, iterative methods, linear algebra, Derivative, differential equations