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＜電子ブック＞
Projectors and Projection Methods / by Aurél Galántai
(Advances in Mathematics ; 6)

版	1st ed. 2004.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2004
本文言語	英語
大きさ	X, 288 p : online resource
著者標目	*Galántai, Aurél author SpringerLink (Online service)
件　名	LCSH:Algebras, Linear LCSH:Numerical analysis LCSH:Algorithms LCSH:Mathematical optimization LCSH:Functional analysis FREE:Linear Algebra FREE:Numerical Analysis FREE:Algorithms FREE:Optimization FREE:Functional Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4419-9180-5

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