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. 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 bookare 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 associateprofessor at the Universite Pierre et Marie Curie in France "This book brings together linear algebra, numerical methods, and an easy to use programming environment under Matlab (and 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."--Jacket 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. Front Matter....Pages I-XI Introduction....Pages 1-14 Definition and Properties of Matrices....Pages 15-44 Matrix Norms,Sequences,and Series....Pages 45-59 Introduction to Algorithmics....Pages 61-70 Linear Systems....Pages 71-96 Direct Methods for Linear Systems....Pages 97-124 Least Squares Problems....Pages 125-142 Simple Iterative Methods....Pages 143-162 Conjugate Gradient Method....Pages 163-190 Methods for Computing Eigenvalues....Pages 191-222 Solutions and Programs....Pages 223-265 Back Matter....Pages 266-273
