rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Infinite Matrices and Their Recent Applications
  name:
    name part: Shivakumar, P.N.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Sivakumar, K C.
    role:
      role term: author.
  name:
    name part: Zhang, Yang.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 118 p. online resource.
  abstract: 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.
  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. .
  note: by P.N. Shivakumar, K C Sivakumar, Yang Zhang.
  subject:
    topic: Mathematics
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Mathematics
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  classification: QA184-205
  classification: 512.5
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319301808
  identifier: http://dx.doi.org/10.1007/978-3-319-30180-8
  record info:
    record creation date: 160620
    record change date: 20160620151230.0
    record identifier: 978-3-319-30180-8