Author | Galรกntai, Aurรฉl. author |
---|---|

Title | Projectors and Projection Methods [electronic resource] / by Aurรฉl Galรกntai |

Imprint | Boston, MA : Springer US : Imprint: Springer, 2004 |

Connect to | http://dx.doi.org/10.1007/978-1-4419-9180-5 |

Descript | X, 288 p. online resource |

SUMMARY

The projectors are considered as simple but important type of matrices and operators. Their basic theory can be found in many books, among which Halยญ 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 methยญ 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 mathematiยญ 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 nonยญ linear systems of algebraic equations and convex optimization problems

Mathematics
Numerical analysis
Matrix theory
Algebra
Functional analysis
Algorithms
Mathematical optimization
Mathematics
Linear and Multilinear Algebras Matrix Theory
Numeric Computing
Algorithms
Optimization
Functional Analysis