Titlebook: Elementary Numerical Mathematics for Programmers and Engineers; Gisbert Stoyan,Agnes Baran Textbook 2024Latest edition The Editor(s) (if a

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Floating Point Arithmetic, fact here we work in residue classes), for floating point numbers rounding is unavoidable. As a consequence (also from other sources like measuring), errors will occur, and the accumulation of errors may strongly bias the final result. Therefore it is important to estimate the final errors.

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Eigenvalue Problems,t role not only in mathematics but also in engineering when examining stability and oscillation problems or in Internet searching by ranking pages. We usually do not have an exact formula for the calculation of the eigenvalues, and they can only be approximated with the help of iterative methods.

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Bert-Wolfgang Schulze,Günther WildenhainIn this chapter we consider how to solve systems of linear equations. We introduce different algorithms for systems with general, symmetric, band, large, and sparse matrices.

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