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Eigenvalues and eigenvectors

  • Alfio Quarteroni
  • Fausto Saleri
  • Paola Gervasio
Chapter
  • 13k Downloads
Part of the Texts in Computational Science and Engineering book series (TCSE, volume 2)

Abstract

Given a square matrix \(\mathrm{A}\in\mathbb{C}^{n\times n}\), the eigenvalue problem consists in finding a scalar λ (real or complex) and a nonnull vector x such that
$$\mathrm{A}\mathrm{x}=\lambda\mathrm{x}$$
Any such λ is called an eigenvalue of A, while x is the associated eigenvector.

Keywords

Power Method Initial Vector Maximum Modulus Large Modulus Minimum Modulus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Alfio Quarteroni
    • 1
  • Fausto Saleri
    • 2
  • Paola Gervasio
    • 3
  1. 1.MATHICSE-CMCSEcole Polytechnique Fédérale de LausanneLausanneSwitzerland
  2. 2.MOX - Politecnico di MilanoMilanoItaly
  3. 3.DICATAMUniversità degli Studi di BresciaBresciaItaly

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