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Infinite Matrices and Their Recent Applications

Authors: Shivakumar, P.N., Sivakumar, K C, Zhang, Yang

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  • 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 programmingPresents an in-depth review of recent developments in infinite matrices, together with some of their modern applications
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eBook 71,39 €
price for India (gross)
  • ISBN 978-3-319-30180-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 84,99 €
price for India (gross)
  • ISBN 978-3-319-30179-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 84,99 €
price for India (gross)
  • ISBN 978-3-319-80741-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

“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)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook 71,39 €
price for India (gross)
  • ISBN 978-3-319-30180-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 84,99 €
price for India (gross)
  • ISBN 978-3-319-30179-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover 84,99 €
price for India (gross)
  • ISBN 978-3-319-80741-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Infinite Matrices and Their Recent Applications
Authors
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-30180-8
DOI
10.1007/978-3-319-30180-8
Hardcover ISBN
978-3-319-30179-2
Softcover ISBN
978-3-319-80741-6
Edition Number
1
Number of Pages
X, 118
Topics