{"product_id":"approximation-and-spectral-analysis-for-large-structured-linear-systems-von-eric-ngondiep-und-stefano-serra-capizzano","title":"Approximation and Spectral Analysis For Large Structured Linear Systems","description":"\u003cp\u003eIn 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\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783845415475\"\u003e\u003ch3\u003eApproximation, Preconditioning, Spectral Analysis \u0026amp; Regularizing Preconditioning For Large Structured Linear Systems\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783845415475","offer_id":39471341731933,"sku":"9783845415475","price":79.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/dfd216ad-7da8-4e2f-b1d0-870e7c3c522f.jpg?v=1772779956","url":"https:\/\/shop.autorenwelt.de\/en\/products\/approximation-and-spectral-analysis-for-large-structured-linear-systems-von-eric-ngondiep-und-stefano-serra-capizzano","provider":"Autorenwelt Shop","version":"1.0","type":"link"}