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Spectral properties of matrices

  • Université de Lille

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

The existence of directions that are preserved by linear transformations (which are referred to as eigenvectors) has been discovered by L. Euler in his study of movements of rigid bodies. This work was continued by Lagrange, Cauchy, Fourier, and Hermite. The study of eigenvectors and eigenvalues acquired increasing significance through its applications in heat propagation and stability theory. Later, Hilbert initiated the study of eigenvalue in functional analysis (in the theory of integral operators).

Original languageEnglish
Title of host publicationAdvanced Information and Knowledge Processing
PublisherSpringer London
Pages347-397
Number of pages51
Edition9781447164067
DOIs
StatePublished - 2014

Publication series

NameAdvanced Information and Knowledge Processing
Number9781447164067
ISSN (Print)1610-3947
ISSN (Electronic)2197-8441

ASJC Scopus Subject Areas

  • Management Information Systems
  • Information Systems
  • Information Systems and Management
  • Artificial Intelligence

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