𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Projectors and Projection Methods

✍ Scribed by Aurél GalÑntai (auth.)


Publisher
Springer US
Year
2004
Tongue
English
Leaves
292
Series
Advances in Mathematics 6
Edition
1
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Synopsis


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

✦ Table of Contents


Front Matter....Pages i-ix
Supplements for Linear Algebra....Pages 1-36
Projections....Pages 37-82
Finite Projection Methods for Linear Systems....Pages 83-115
Iterative Projection Methods for Linear Algebraic Systems....Pages 117-153
Projection Methods for Nonlinear Algebraic Equations....Pages 155-180
Projection Methods in Optimization....Pages 181-213
Projection Methods for Linear Equations in Hilbert Spaces....Pages 215-263
Back Matter....Pages 265-287

✦ Subjects


Linear and Multilinear Algebras, Matrix Theory; Numeric Computing; Algorithms; Optimization; Functional Analysis


πŸ“œ SIMILAR VOLUMES


Project Control Methods and Best Practic
✍ Dr. Yakubu Olawale πŸ“‚ Library πŸ› Business Expert Press 🌐 English

<span>If you want to know how to reduce financial wastage and cost overrun on projects and the applied best practices to enable project success, then this book is for you.</span><span><br>This book reveals the many challenges of project control in practice and then provides practical good practices

Population Dynamics and Projection Metho
✍ Philip Rees (auth.), John Stillwell, Martin Clarke (eds.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer Netherlands 🌐 English

<p><p>Although the human population growth rate of the world has been declining since peaking in the early 1960s, the populations of individual countries are changing at different rates. Population dynamics at national level are partly determined by levels of fertility and mortality, but the impact

Population Dynamics and Projection Metho
✍ Philip Rees (auth.), John Stillwell, Martin Clarke (eds.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer Netherlands 🌐 English

<p><p>Although the human population growth rate of the world has been declining since peaking in the early 1960s, the populations of individual countries are changing at different rates. Population dynamics at national level are partly determined by levels of fertility and mortality, but the impact

Models, Methods and Tools for Product Se
✍ Laura Cattaneo, Sergio Terzi πŸ“‚ Library πŸ“… 2019 πŸ› Springer International Publishing 🌐 English

<p><p>This open access book summarizes research being pursued within the Manutelligence project, the goal of which is to help enterprises develop smart, social and flexible products with high value added services. Manutelligence has improved Product and Service Design by developing suitable models a