| Numerical Linear Approximation in C [With CDROM] Contributor(s): Abdelmalek, Nabih (Author), Malek, William A. (Author) |
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ISBN: 1584889780 ISBN-13: 9781584889786 Publisher: CRC Press OUR PRICE: $218.50 Product Type: Hardcover - Other Formats Published: June 2008 Annotation: Presenting real-world examples from various disciplines, Numerical Linear Approximation in C offers a collection of algorithms with techniques from classical matrix numerical analysis and approximation theory. The book deals with the solution of overdetermined and underdetermined linear systems as well as overdetermined inequalities and linear problems. It discusses the differences in L1, L2, and L-infinity norms, illustrating the interpolatory property of L1 norms, the equioscillatory property of L-infinity norms, and Chebyshev approximation. The authors also cover practical pseudo-inverses and least square approximation. An accompanying CD-ROM provides source code in the C language. |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Number Systems |
| Dewey: 518 |
| LCCN: 2008002447 |
| Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing |
| Physical Information: 1.94" H x 6.25" W x 9.52" (3.20 lbs) 962 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Illustrating the relevance of linear approximation in a variety of fields, Numerical Linear Approximation in C presents a unique collection of linear approximation algorithms that can be used to analyze, model, and compress discrete data. Developed by the lead author, the algorithms have been successfully applied to several engineering projects at the National Research Council of Canada. Basing most of the algorithms on linear programming techniques, the book begins with an introductory section that covers applications, the simplex method, and matrices. The next three parts focus on various L1, Chebyshev, and least squares approximations, including one-sided, bounded variables, and piecewise. The final section presents the solution of underdetermined systems of consistent linear equations that are subject to different constraints on the elements of the unknown solution vector. Except in the preliminary section, all chapters include the C functions of the algorithms, along with drivers that contain numerous test case examples and results. The accompanying CD-ROM also provides the algorithms written in C code as well as the test drivers. To use the software, it is not required to understand the theory behind each function. |