Fr. 70.00

Infinite Matrices and Their Recent Applications

Inglese · Copertina rigida

Spedizione di solito entro 6 a 7 settimane

Descrizione

Ulteriori informazioni

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.

Sommario

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.  

Riassunto

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.

Testo aggiuntivo

“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)

Relazione

"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)

Dettagli sul prodotto

Autori P Shivakumar, P N Shivakumar, P. N. Shivakumar, P.N. Shivakumar, Pappur Nagappa Shivakumar, K Sivakumar, K C Sivakumar, K. C. Sivakumar, K.C. Sivakumar, Yang Zhang
Editore Springer, Berlin
 
Lingue Inglese
Formato Copertina rigida
Pubblicazione 01.01.2016
 
EAN 9783319301792
ISBN 978-3-31-930179-2
Pagine 118
Dimensioni 16 mm x 11 mm x 240 mm
Peso 309 g
Illustrazioni X, 118 p.
Categorie Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra

Algebra, B, Mathematics and Statistics, Linear Algebra, Matrix theory, Linear and Multilinear Algebras, Matrix Theory, Theory of finite and infinite matrices, Truncations and linear operator theory

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