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Infinite matrices and their recent a...

Shivakumar, P.N.

Infinite matrices and their recent applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Infinite matrices and their recent applicationsby P.N. Shivakumar, K C Sivakumar, Yang Zhang.
作者:	Shivakumar, P.N.
其他作者:	Sivakumar, K C.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	x, 118 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Infinite matrices.
電子資源:	http://dx.doi.org/10.1007/978-3-319-30180-8
ISBN:	9783319301808$q(electronic bk.)

Infinite matrices and their recent applications
Shivakumar, P.N.

Infinite matrices and their recent applications[electronic resource] /by P.N. Shivakumar, K C Sivakumar, Yang Zhang. - Cham :Springer International Publishing :2016. - x, 118 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783319301808$q(electronic bk.)

Standard No.: 10.1007/978-3-319-30180-8doiSubjects--Topical Terms:

750301
Infinite matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Infinite matrices and their recent applications
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520 $a 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.
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