Text: English (translation) 
Original Language: Swedish

Numerical Analysis: An Introduction

Science & Math

Eldén, Lars

Wittmeyer-Koch, Linde

Mathematics

Academic Pr

Several very powerful numerical linear algebra techniques are available for solving problems in data mining and pattern recognition. This application-oriented book describes how modern matrix methods can be used to solve these problems, gives an introduction to matrix theory and decompositions, and provides students with a set of tools that can be modified for a particular application. Part I gives a short introduction to a few application areas before presenting linear algebra concepts and matrix decompositions that students can use in problem-solving environments such as MATLAB. In Part II, linear algebra techniques are applied to data mining problems. Part III is a brief introduction to eigenvalue and singular value algorithms. The applications discussed include classification of handwritten digits, text mining, text summarization, pagerank computations related to the Google search engine, and face recognition. Exercises and computer assignments are available on a Web page that supplements the book.

Matrix Methods in Data Mining and Pattern Recognition (Fundamentals of Algorithms, Series Number 4)

Computers & Technology

Computer Science

Society for Industrial and Applied Mathematics

In a modern programming environment such as MATLAB® it is possible, through simple commands, to perform advanced calculations on a personal computer, To use this powerful tool, students do not need to understand algorithmic details, but they do need a familiarity with numerical methods and the properties of algorithms. This text, for an introductory course in scientific computation at an advanced undergraduate level, is a revision and translation of a Swedish work by Eldén and Wittmeyer-Koch. It offers an introduction to basic ideas in numerical analysis including classical algorithms for solutions of nonlinear equations and linear systems of algebraic equations as well as ordinary differential equations plus methods for error analysis, interpolation, integration and approximation. Moreover, the text covers important applications in science and engineering such as floating point computer arithmetic and standard functions, splines, finite elements and discrete cosine transform. The authors focus on simplicity and readability in order to help students prepare for more complex mathematical software; they also offer useful materials on their personal Web site homepages. Useful end of chapter questions on theory and computer exercises make this a valuable tool for students as well as professionals

Introduction To Numerical Computation: Analysis And MATLAB Illustrations

Neilsen, Hans Bruun

Programming

Professional Pub Service

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