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Books > Science & Mathematics > Mathematics > Algebra
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Projectors and Projection Methods (Paperback, Softcover reprint of the original 1st ed. 2004)
Loot Price: R3,695
Discovery Miles 36 950
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Projectors and Projection Methods (Paperback, Softcover reprint of the original 1st ed. 2004)
Series: Advances in Mathematics, 6
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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.
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