1st Edition

Numerical Linear Approximation in C

By Nabih Abdelmalek, William A. Malek Copyright 2008
962 Pages
by Chapman & Hall

962 Pages
by Chapman & Hall

968 Pages
by Chapman & Hall

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.... Read more
Applications of Linear Approximation. Preliminaries. Linear Programming and the Simplex Algorithm.Efficient Solutions of Linear Equations.Linear L1 Approximation.One-Sided L1 Approximation.L1 Approximation with Bounded Variables.L1 Polygonal Approximation of Plane Curves.Piecewise L1 Approximation of Plane Curves. Linear Chebyshev Approximation.One-Sided Chebyshev Approximation.Chebyshev Approximation with Bounded Variables.Restricted Chebyshev Approximation.Strict Chebyshev Approximation.Piecewise Chebyshev Approximation.Solution of Linear Inequalities.Least Squares and Pseudo-Inverses of Matrices.Piecewise Linear Least Squares Approximation.Solution of Ill-Posed Linear Systems.L1 Solution of Underdetermined Linear Equations.Bounded and L1 Bounded Solutions of Underdetermined Linear Equations.Chebyshev Solution of Underdetermined Linear Equations. Bounded Least Squares Solution of Underdetermined Linear Equations. Appendices. Index.

Biography

Abdelmalek, Nabih; Malek, William A.