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Introduction to Numerical Analysis
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    Schichl, Hermann Markót, Mihály Csaba and Neumaier, Arnold 2014. Exclusion regions for optimization problems. Journal of Global Optimization, Vol. 59, Issue. 2-3, p. 569.
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    Mohr, M. Biro, O. Stermecki, A. and Diwoky, F. 2012. An improved physical phase variable model for permanent magnet machines. p. 53.
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    Neumaier, Arnold Fendl, Hannes Schilly, Harald and Leitner, Thomas 2011. VXQR: derivative-free unconstrained optimization based on QR factorizations. Soft Computing, Vol. 15, Issue. 11, p. 2287.
    Rump, Siegfried M. 2011. Verified bounds for singular values, in particular for the spectral norm of a matrix and its inverse. BIT Numerical Mathematics, Vol. 51, Issue. 2, p. 367.
    Bosurgi, Gaetano D'Andrea, Antonino and Pellegrino, Orazio 2011. Context Sensitive Solutions using Interval Analysis. Transport, Vol. 26, Issue. 2, p. 171.
    Perepelitsa, V. A. and Tebueva, F. B. 2010. Discrete optimization problems with interval parameters. Computational Mathematics and Mathematical Physics, Vol. 50, Issue. 5, p. 795.
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    Introduction to Numerical Analysis
    • Online ISBN: 9780511612916
    • Book DOI: https://doi.org/10.1017/CBO9780511612916
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Book description

Numerical analysis is an increasingly important link between pure mathematics and its application in science and technology. This textbook provides an introduction to the justification and development of constructive methods that provide sufficiently accurate approximations to the solution of numerical problems, and the analysis of the influence that errors in data, finite-precision calculations, and approximation formulas have on results, problem formulation and the choice of method. It also serves as an introduction to scientific programming in MATLAB, including many simple and difficult, theoretical and computational exercises. A unique feature of this book is the consequent development of interval analysis as a tool for rigorous computation and computer assisted proofs, along with the traditional material.

Reviews

‘… very valuable in preparing a course on Numerical Analysis and is indeed very readable.’

Thomas Sonar Source: Zentralblatt MATH

‘This is very strongly recommended reading for all undergraduate students whose courses require a serious understanding and implementation of numerical analysis.‘

Source: The Mathematical Gazette

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