Numerical Linear Algebra

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.

Klappentext

This book distinguishes itself from the many other textbooks on the topic of linear algebra by including mathematical and computational chapters along with examples and exercises with Matlab. In recent years, the use of computers in many areas of engineering and science has made it essential for students to get training in numerical methods and computer programming. Here, the authors use both Matlab and SciLab software as well as covering core standard material. It is intended for libraries; scientists and researchers; pharmaceutical industry.

Inhalt

Definition and Properties of Matrices.- Matrix Norms,Sequences,and Series.- to Algorithmics.- Linear Systems.- Direct Methods for Linear Systems.- Least Squares Problems.- Simple Iterative Methods.- Conjugate Gradient Method.- Methods for Computing Eigenvalues.- Solutions and Programs.