Authors:
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 aspects concerning infinite linear algebraic equations, differential systems and infinite linear programming
Presents an in-depth review of recent developments in infinite matrices, together with some of their modern applications
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
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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Authors and Affiliations
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Department of Mathematics, University of Manitoba, Winnipeg, Canada
P.N. Shivakumar, Yang Zhang
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Department of Mathematics, Indian Institute of Technology, Madras, Chennai, India
K C Sivakumar
Bibliographic Information
Book Title: Infinite Matrices and Their Recent Applications
Authors: P.N. Shivakumar, K C Sivakumar, Yang Zhang
DOI: https://doi.org/10.1007/978-3-319-30180-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-30179-2Published: 28 June 2016
Softcover ISBN: 978-3-319-80741-6Published: 31 May 2018
eBook ISBN: 978-3-319-30180-8Published: 20 June 2016
Edition Number: 1
Number of Pages: X, 118