Titlebook: Numerical Methods and Optimization; Theory and Practice Jean-Pierre Corriou Textbook 2021 The Editor(s) (if applicable) and The Author(s),

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Interpolation and Approximation, to a regular spacing of the domain, the interest or irregular spacing is emphasized with Chebyshev and Hermite polynomials in particular. The interpolation by cubic spline functions is analyzed and Bézier curves are exposed. All the methods are accompanied by detailed numerical examples.

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Equation Solving by Iterative Methods,nge of iterative methods for any function are exposed, bisection, regula falsi, successive substitutions, Newton’s method, and derived methods such as secant, Wegstein’s, and Aitken’s methods. The homotopy method concludes this chapter. All the described methods are illustrated by a significant numerical example.

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Analytical Methods for Optimization,ality constraints with Karush–Kuhn–Tucker parameters. The sensitivity analysis concludes the chapter. These fundamentals are essential for numerical solution of optimization problems. Many mathematical and numerical examples illustrate the different cases encountered.

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Quadratic Programming and Nonlinear Optimization,tic functions. The solution of QP is given by the simplex method but also using the barrier method. It is followed by the nonlinear optimization by successive quadratic programming. SQP is explained by different algorithms. Examples systematically illustrate the different techniques.

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Springer Optimization and Its Applicationshttp://image.papertrans.cn/n/image/669048.jpg

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https://doi.org/10.1007/978-3-030-89366-8textbook numerical optimization; numerical optimization; numerical integration; partial differential eq

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Jean-Pierre CorriouThis text covers numerical methods and optimization and has an abundance of practical application.Exercises of varying level of difficulty give new examples and ideas for exam/homework problems.Access

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Jean-Pierre Corriouhrubs and flowers mentioned in the novel are actually found in England: in celebrating the beauty and variety of the English countryside, Tolkien follows the tradition of the “regional novel” as well as early twentieth-century tendencies of conservatism.