株式会社極東書店トップ商品一覧Low Rank Approximation : Algorithms, Implementation, Applications. 2012 ed..

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Low Rank Approximation

Low Rank Approximation : Algorithms, Implementation, Applications. 2012 ed..

・ISBN 978-1-4471-5836-3 paper

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著者・編者Markovsky, Ivan,
シリーズCommunications and Control Engineering
出版社(Springer London Ltd, UK)
出版年月2014
ページ数258 pp.
言語ENG
ニュース番号<M25-23837>

解説

Data Approximation by Low-complexity Models details the theory, algorithms, and applications of structured low-rank approximation. Efficient local optimization methods and effective suboptimal convex relaxations for Toeplitz, Hankel, and Sylvester structured problems are presented. Much of the text is devoted to describing the applications of the theory including: system and control theory; signal processing; computer algebra for approximate factorization and common divisor computation; computer vision for image deblurring and segmentation; machine learning for information retrieval and clustering; bioinformatics for microarray data analysis; chemometrics for multivariate calibration; and psychometrics for factor analysis.

Software implementation of the methods is given, making the theory directly applicable in practice. All numerical examples are included in demonstration files giving hands-on experience and exercises and MATLAB (R) examples assist in the assimilation of the theory.