Titlebook: Elementary Numerical Mathematics for Programmers and Engineers; Gisbert Stoyan,Agnes Baran Textbook 20161st edition Springer International

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Norms, Condition Numbers,nd . is the unknown vector. In practice both vector . and matrix . are often given with uncertainties: they are perturbed by errors, e.g. by rounding errors. Hence, in this chapter we study the magnitude of the error in the vector . caused by errors in . and .. As a result of this examination we wil

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Interpolation, the matrix . depends continuously on a parameter . and consequently . is a continuous function of .. Hence, it seems to be practical to calculate the function . only for some values . and after that to connect—interpolate—smoothly in some way the obtained .-values, using a method requiring signific

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Nonlinear Equations and Systems,example of this is finding roots of a general function (e.g. of a high order polynomial). As the case of polynomials shows, nonlinear equations mostly have several roots. And often the user does not accept our tediously obtained solution and asks us to find another one.

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Numerical Integration, and . = . > ., resulting in a positive value for .(.) > 0 and a negative value for .(.) < 0). If . is a function of two variables, then the double integral . is the volume under the surface . = .(., .) and over the rectangle . ≤ . ≤ ., . ≤ . ≤ . of the ., .-plane.

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Practical Error Estimation,roblem. Your company has spent a lot of money on it and the modules of the code consist of many thousands of lines. The documentation accompanying the code emphasizes its superiority and shows a lot of convincing figures, but says nothing about the reliability and accuracy. Of course the license sel

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Gisbert Stoyan,Agnes BaranCovers the basics of numerical methods, while avoiding the definition-theorem-proof style.Includes exercises in MATLAB.Provides numerical examples in order to promote reader comprehension.Presents mat

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Compact Textbooks in Mathematicshttp://image.papertrans.cn/e/image/307401.jpg

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