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Titlebook: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications; Cetraro, Italy 2015 Michele Benzi,Dario Bini,Charles Van L

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发表于 2025-3-21 19:51:05 | 显示全部楼层 |阅读模式
书目名称Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications
副标题Cetraro, Italy 2015
编辑Michele Benzi,Dario Bini,Charles Van Loan,Michele
视频video
概述Provides a detailed treatment of the emerging field of hidden or approximate-structured matrix problems.Offers different theoretical and application perspectives in a thorough presentation by leading
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications; Cetraro, Italy 2015 Michele Benzi,Dario Bini,Charles Van L
描述.Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. .Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. .The text arose from a C.I.M.E. course held in Cetraro (Italy)  in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives..
出版日期Book 2016
关键词Structured matrices; Pattern and decay properties; Structure preserving algorithms; Low rank tensor app
版次1
doihttps://doi.org/10.1007/978-3-319-49887-4
isbn_softcover978-3-319-49886-7
isbn_ebook978-3-319-49887-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG 2016
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发表于 2025-3-21 22:06:45 | 显示全部楼层
Michele Benzi,Dario Bini,Charles Van Loan,Michele Provides a detailed treatment of the emerging field of hidden or approximate-structured matrix problems.Offers different theoretical and application perspectives in a thorough presentation by leading
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Exploiting Hidden Structure in Matrix Computations: Algorithms and Applications978-3-319-49887-4Series ISSN 0075-8434 Series E-ISSN 1617-9692
发表于 2025-3-23 09:24:23 | 显示全部楼层
https://doi.org/10.1057/9780230594050 low-rank manipulations are central to the theme. Algorithmic details include the exploitation of partial symmetries, componentwise optimization, and how we might beat the “curse of dimensionality.” Order-4 tensors figure heavily in the discussion.
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