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Published in:
Sets, Relations, and Functions Read chapter Read first chapter

2014 | OriginalPaper | Chapter

7. Spectral Properties of Matrices

Authors : Dan A. Simovici, Chabane Djeraba

Published in: Mathematical Tools for Data Mining

Publisher: Springer London

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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).

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previous chapter Norms and Inner Products
next chapter Metric Spaces Topologies and Measures
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Metadata
Title
Spectral Properties of Matrices
Authors
Dan A. Simovici
Chabane Djeraba
Copyright Year
2014
Publisher
Springer London
Book
Mathematical Tools for Data Mining

Print ISBN: 978-1-4471-6406-7

Electronic ISBN: 978-1-4471-6407-4

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-1-4471-6407-4_7

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