* Highly respected and well known authors have combined two previous books to create this book * Uses both MATLAB and SciLab software * Also covers core standard material * Excellent variety of exercises with Scilab exercises also included online This book brings together linear algebra, numerical methods and an easy to use programming environment under Matlab (or Scilab). One of the key features of the book are the worked out examples and exercises at the end of each chapter. The reader is asked to do some numerical experiments in Matlab and then to prove the results theoretically.
The book is a combination and update of two earlier French books by the authors. It is appropriate for both undergraduate and beginning graduate courses in mathematics as well as for working scientists and engineers as a self-study tool and reference.This book is about numerical linear algebra and focuses on practical algorithms for solving computer problems of linear algebra.
Gregoire Allaire is a professor of Applied Mathematics at Ecole Polytechnique in France.
Sidi Mahmoud Kaber is an associate professor at the Universite Pierre et Marie Curie in France.
Definition and Properties of Matrices.- Matrix Norms, Sequences and Series.- Introduction to Algorithmics.- Linear Systems.- Direct Methods for Linear Systems.- Least Squares Problems.- Simple Iterative Methods.- Conjugate Gradient Method.- Generalities on Eigenvalue Problems.- Methods for Computing Eigenvalues.- Solutions and Programs.- References.
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