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Infinite Matrices and Their Recent Applications / by P.N. Shivakumar, K C Sivakumar, Yang Zhang

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Cham : Springer, 2016Description: Online-Ressource (X, 118 p, online resource)ISBN:
  • 9783319301808
Subject(s): Additional physical formats: 9783319301792 | Erscheint auch als: 978-3-319-30179-2 Druck-AusgabeDDC classification:
  • 512.5
MSC: MSC: *15-02 | 15B33 | 15A09 | 15A06 | 90C05 | 47A50 | 15A18 | 15B48 | 65F30RVK: RVK: SK 220LOC classification:
  • QA184-205
DOI: DOI: 10.1007/978-3-319-30180-8Online resources: Summary: Introduction -- Finite Matrices and their Nonsingularity -- Infinite Linear Equations -- Generalized Inverses: Real or Complex Field -- Generalized Inverses: Quaternions -- M-matrices over Infinite Dimensional Spaces -- Infinite Linear Programming -- Applications. .Summary: 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.PPN: PPN: 1657764281Package identifier: Produktsigel: ZDB-2-SXMS | ZDB-2-SMA | ZDB-2-SEB
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