Infinite Matrices and Their Recent Applications

• Main Authors: Shivakumar, P.N (Author), Sivakumar, K C. (Author), Zhang, Yang (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Subjects: Mathematics.; Matrix theory.; Algebra.; Linear and Multilinear Algebras, Matrix Theory.

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 autho...

Table of Contents:

• 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. .