Abstract
In Chapter 2 we have seen that in order to compute a singular-value decomposition of a matrix A, we need to have the eigenvalues of AT A. This process was illustrated in Example 2.6.3, where because of the small size of the problem, we were able to find the necessary eigenvalues by hand calculation. For larger problems, however, this is no longer possible, and we need to use a computer to find eigenvalues. Such problems arise, for example, in the study of oscillations, where the eigenfrequences are to be determined by discretizing the associated differential equation. In this chapter we discuss various methods for computing eigenvalues of matrices.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Hämmerlin, G., Hoffman, KH. (1991). Eigenvalues. In: Numerical Mathematics. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4442-4_3
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4442-4_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97494-1
Online ISBN: 978-1-4612-4442-4
eBook Packages: Springer Book Archive