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Approximation and Spectral Analysis For Large Structured Linear Systems

 

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  • Product Description
 

In this work we are interested in standard and less standard structured linear systems coming from applications in various fields of computational mathematics and often modeled by integral and/or differential equations.Starting from classical Toeplitz and Circulant structures,we consider some extensions as g-Toeplitz and g-Circulants matrices appearing in several contexts in numerical analysis and applications.Then we consider special matrices arising from collocation methods for differential equations:also in this case, under suitable assumptions we observe a Toeplitz structure.More in detail we first propose a detailed study of singular values and eigenvalues of g-circulant matrices and then we provide an analysis of distribution of g-Toeplitz sequences.When possible,we consider Krylov space methods with special attention to the minimization of the computational work.In that case, crucial issues are the convergence speed of this iterative solver,the use of special techniques(preconditioning,multilevel techniques)for accelerating the convergence,and a careful study of the spectral properties of such matrices.We study the asymptotic behavior of spectral radii of collocation matrices

Product Specifications
SKU :COC93648
AuthorEric Ngondiep and Stefano Serra Capizzano
LanguageEnglish
BindingPaperback
Number of Pages268
Publishing Year2011-10-04T00:00:00.000
ISBN978-3845415475
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-08-14 00:00:00
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