Titlebook: Numerical Methods and Optimization; A Consumer Guide éric Walter Book 2014 Springer International Publishing Switzerland 2014 Linear Algebr

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From Calculus to Computation,erical .. Simple, concrete examples are used to explain why naive mathematical methods are not up to the task (although mathematics plays a central role in the analysis of robust, efficient numerical algorithms, of course).

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Solving Other Problems in Linear Algebra,trix or computing its determinant is seldom useful are explained. Efficient methods for doing so when it does turn out to be necessary are presented. Examples illustrate the variety of the problems requiring the computation of eigenvalues and eigenvectors. Approaches best avoided for doing so are po

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Interpolating and Extrapolating,ul. Classical methods are described for the univariate and multivariate case. Conditions that make very high-degree polynomial interpolation a viable option are explained. Pros and cons of rational interpolation are presented. Richardson’s extrapolation principle is described. It is used, for instan

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Solving Systems of Nonlinear Equations,d-point iteration, Newton’s method, and quasi-Newton methods are presented, and contrasted from the point of view of their convergence speeds. Since all of them are iterative and local, the questions of where to start from and when to stop cannot be avoided. Pointers are given to guaranteed methods

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