
Infinite Matrices and Their Recent Applications
Springer (Publisher)
Published on 31. May 2018
Book
Paperback/Softback
X, 118 pages
978-3-319-80741-6 (ISBN)
Description
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.
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.
Reviews / Votes
"The thin book provides readers with a comprehensive guide to the theory of finite and infinite matrices. . The prospective audience of the monograph includes research students, academicians, researchers. . All topics are thoroughly introduced including historical review and wide references. . the book very carefully prepared and all formulas are well readable." (Cyril Fischer, zbMATH 1355.15001, 2017)More details
Edition
Softcover reprint of the original 1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
X, 118 p.
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
209 gr
ISBN-13
978-3-319-80741-6 (9783319807416)
DOI
10.1007/978-3-319-30180-8
Schweitzer Classification
Other editions
Additional editions

P.N. Shivakumar | K.C. Sivakumar | Yang Zhang
Infinite Matrices and Their Recent Applications
Book
06/2016
Springer
€53.49
Shipment within 10-15 days
Content
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.