TY  - BOOK
AU  - Shivakumar,P.N.
AU  - Sivakumar,K.C.
AU  - Zhang,Yang
TI  - Infinite matrices and their recent applications
SN  - 9783319301792
U1  - 512.9434   23
PY  - 2016///
CY  - Switzerland : 
PB  - Springer
KW  - Infinite matrices
N1  - Includes bibliographical references and index; 1. Introduction --
2. Finite Matrices and their Nonsingularity --
3. Infinite Linear Equations --
4. Generalized Inverses: Real or Complex Field --
5. Generalized Inverses: Quaternions --
6. M-matrices over Infinite Dimensional Spaces --
7. Infinite Linear Programming --
8. Applications
N2  - 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 Besselℓ́ℓs and Mathieuℓ́ℓs equations, viscous fluid flow in doubly connected regions, digital circuit dynamics and eigenvalues of the Laplacian
ER  -