Projectors and Projection Methods

  • Aurél Galántai

Part of the Advances in Mathematics book series (ADMA, volume 6)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Aurél Galántai
    Pages 1-36
  3. Aurél Galántai
    Pages 37-82
  4. Aurél Galántai
    Pages 83-115
  5. Aurél Galántai
    Pages 181-213
  6. Back Matter
    Pages 265-287

About this book


The projectors are considered as simple but important type of matrices and operators. Their basic theory can be found in many books, among which Hal­ mas [177], [178] are of particular significance. The projectors or projections became an active research area in the last two decades due to ideas generated from linear algebra, statistics and various areas of algorithmic mathematics. There has also grown up a great and increasing number of projection meth­ ods for different purposes. The aim of this book is to give a unified survey on projectors and projection methods including the most recent results. The words projector, projection and idempotent are used as synonyms, although the word projection is more common. We assume that the reader is familiar with linear algebra and mathemati­ cal analysis at a bachelor level. The first chapter includes supplements from linear algebra and matrix analysis that are not incorporated in the standard courses. The second and the last chapter include the theory of projectors. Four chapters are devoted to projection methods for solving linear and non­ linear systems of algebraic equations and convex optimization problems.


Mathematica algebra functional analysis linear algebra optimization

Authors and affiliations

  • Aurél Galántai
    • 1
  1. 1.Institute of MathematicsUniversity of MiskolcHungary

Bibliographic information