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Infinite matrices and their recent applications

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Infinite matrices and their recent applications/ by P.N. Shivakumar, K C Sivakumar, Yang Zhang.
Author:	Shivakumar, P.N.
other author:	Sivakumar, K C.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	x, 118 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Infinite matrices. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-30180-8
ISBN:	9783319301808

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

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

1110640
Infinite matrices.

LC Class. No.: QA188

Dewey Class. No.: 512.9434

Infinite matrices and their recent applications
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245 1 0 $a Infinite matrices and their recent applications $h [electronic resource] / $c by P.N. Shivakumar, K C Sivakumar, Yang Zhang.
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505 0 $a 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.
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.
650 0 $a Infinite matrices. $3 1110640
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
700 1 $a Sivakumar, K C. $3 1110638
700 1 $a Zhang, Yang. $3 1110639
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950 $a Mathematics and Statistics (Springer-11649)