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Titlebook: Generalized Locally Toeplitz Sequences: Theory and Applications; Volume I Carlo Garoni,Stefano Serra-Capizzano Book 2017 Springer Internati

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書目名稱Generalized Locally Toeplitz Sequences: Theory and Applications
副標題Volume I
編輯Carlo Garoni,Stefano Serra-Capizzano
視頻videohttp://file.papertrans.cn/383/382225/382225.mp4
概述Introduces readers into the world of GLT sequences and their applications.Offers several applications with illustrations and numerical examples that help readers become familiar with GLT sequences.Inc
圖書封面Titlebook: Generalized Locally Toeplitz Sequences: Theory and Applications; Volume I Carlo Garoni,Stefano Serra-Capizzano Book 2017 Springer Internati
描述.Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications. This first volume focuses on the univariate version of the theory and the related applications in the unidimensional setting, while the second volume, which addresses the multivariate case, is mainly devoted to concrete PDE applications. . .This book systematically develops the theory of generalized locally Toeplitz (GLT) sequences and presents some of its main applications, with a particular focus on the numerical discretization of differential equations (DEs). It is the first book to address the relatively new field of GLT sequences, which occur in numerous? scientific applications and are especially dominant in the context of DE discretizations. Written for applied mathematicians, engineers, physicists, and scientists who (perhaps unknowingly) encounter GLT sequences in their research, it is alsoof interest to those working in the fields of Fourier and functional analysis, spectral analysis of DE discretization matrices, matrix analysis, measure and operator theory, numerical analysis and linear algebra. Furt
出版日期Book 2017
關(guān)鍵詞Generalized Locally Toeplitz sequences; Toeplitz matrices; PDE discretization matrices; Numerical metho
版次1
doihttps://doi.org/10.1007/978-3-319-53679-8
isbn_softcover978-3-319-85214-0
isbn_ebook978-3-319-53679-8
copyrightSpringer International Publishing AG 2017
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Singular Value and Eigenvalue Distribution of a Matrix-Sequence,is chapter introduces the notion of (asymptotic) singular value and eigenvalue distribution for a matrix-sequence, as well as other related concepts such as clustering and attraction. A special attention is devoted to the so-called zero-distributed sequences, which play a central role in the theory
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Toeplitz Sequences,ubject of several books?[23, 24, 28, 29, 70]. On the contrary, we focus on specific properties of the sequences of Toeplitz matrices generated by an . function. These sequences, together with the sequences of diagonal sampling matrices (to be introduced afterwards) and the zero-distributed sequences
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Summary of the Theory,er. As mentioned in the preface, assuming the reader possesses the necessary prerequisites, a possible way of reading this book consists in first reading this chapter and the next one, and then come back to fill the gaps, where ‘fill the gaps’ essentially means ‘read the proofs of the results report
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Future Developments,nivariate/unilevel). This is the reason why the applications of Sects.?.–. only addressed the discretization of . DEs. Volume?II [64] will take care of developing the theory of . GLT sequences and will present the corresponding applications to the discretization of multidimensional DEs (i.e., PDEs).
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Generalized Locally Toeplitz Sequences: Theory and ApplicationsVolume I
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