| 书目名称 | Infinite Matrices and Their Recent Applications | | 编辑 | P.N. Shivakumar,K C Sivakumar,Yang Zhang | | 视频video | | | 概述 | Focuses on the general theory of infinite matrices, detailing progress achieved in the theory and applications of infinite matrices since the seminal work of Cooke.Covers theoretical and computational | | 图书封面 |  | | 描述 | This monograph covers the theory of finite and infinite matrices over the fields of real numbers, complex numbers and over quaternions. Emphasizing topics such as sections or truncations and their relationship to the linear operator theory on certain specific separable and sequence spaces, the authors explore techniques like conformal mapping, iterations and truncations that are used to derive precise estimates in some cases and explicit lower and upper bounds for solutions in the other cases..Most of the matrices considered in this monograph have typically special structures like being diagonally dominated or tridiagonal, possess certain sign distributions and are frequently nonsingular. Such matrices arise, for instance, from solution methods for elliptic partial differential equations. The authors focus on both theoretical and computational aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming, among others. Additionally, the authors cover topics such as Bessel’s and Mathieu’s equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian.. | | 出版日期 | Book 2016 | | 关键词 | Finite Matrices; Quaternions; Infinite Linear Systems; M-Matrices; Dimensional Spaces; Infinite Matrices; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-30180-8 | | isbn_softcover | 978-3-319-80741-6 | | isbn_ebook | 978-3-319-30180-8 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 19:54:16
