Iterative solution methods

This Book Deals Primarily With The Numerical Solution Of Linear Systems Of Equations By Iterative Methods. The First Part Of The Book Is Intended To Serve As A Textbook For A Numerical Linear Algebra Course. The Material Assumes The Reader Has A Basic Knowledge Of Linear Algebra, Such As Set Theory And Matrix Algebra, However It Is Demanding For Students Who Are Not Afraid Of Theory. To Assist The Reader, The More Difficult Passages Have Been Marked, The Definitions For Each Chapter Are Collected At The Beginning Of The Chapter, And Numerous Exercises Are Included Throughout The Text. The Second Part Of The Book Serves As A Monograph Introducing Recent Results In The Iterative Solution Of Linear Systems, Mainly Using Preconditioned Conjugate Gradient Methods. This Book Should Be A Valuable Resource For Students And Researchers Alike Wishing To Learn More About Iterative Methods. Owe Axelsson. Includes Bibliographical References And Index. Large linear systems of equations arise in most scientific problems where mathematical models are used. The most efficient methods for solving these equations are iterative methods. The first part of this book contains basic and classical material from the study of linear algebra and numerical linear algebra. The second half of the book is unique among books on this topic, because it is devoted to the construction of preconditioners and iterative acceleration methods of the conjugate gradient type. This book is for graduate students and researchers in numerical analysis and applied mathematics.

a Valuable Resource Book For Students, Tutors And Researchers Using Iterative Methods.