Generalized Locally Toeplitz Sequences: Theory and Applications Volume I /

Based on their research experience, the authors propose a reference textbook in two volumes on the theory of generalized locally Toeplitz sequences and their applications. This first volume focuses on the univariate version of the theory and the related applications in the unidimensional setting, wh...

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Main Authors: Garoni, Carlo. (Author, http://id.loc.gov/vocabulary/relators/aut), Serra-Capizzano, Stefano. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Subjects:
Online Access:https://doi.org/10.1007/978-3-319-53679-8
Table of Contents:
  • 1 Introduction
  • 2 Mathematical background
  • 3 Singular value and eigenvalue distribution of a matrix-sequence
  • 4 Spectral distribution of sequences of perturbed Hermitian matrices
  • 5 Approximating classes of sequences
  • 6 Toeplitz sequences
  • 7 Locally Toeplitz sequences
  • 8 Generalized locally Toeplitz sequences
  • 9 Summary
  • 10 Applications
  • Future developments
  • Solutions to the exercises .