Abstract
Methods used earlier ([1], [2]) to obtain bounds for the greatest and least characteristic roots of a positive definite matrix are here applied to obtain approximations to the second-greatest and second-least characteristic roots.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
R. Bellman, The largest and the smallest characteristic roots of a positive definite matrix, J. Math. Anal. Appl. (to appear).
R. Bellman, Bounds for the greatest and the least characteristic roots of a positive definite matrix using powers of 2, pp. — in E. F. Beckenbach (ed.), General Inequalities 3. Proceedings of the Third International Conference on General Inequalities, Oberwolfach, 1981. Birkhauser Verlag, Basel, Boston, Stuttgart, 1982.
R. Bellman, Introduction to Matrix Analysis. McGraw-Hill Book Company, N. Y., 1960; 2nd Edition, 1970.
R. Bellman, Selective Computation (to appear).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer Basel AG
About this chapter
Cite this chapter
Bellman, R. (1983). On the Second-Greatest and Second-Least Characteristic Roots of a Positive Definite Matrix. In: Beckenbach, E.F., Walter, W. (eds) General Inequalities 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6290-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-0348-6290-5_13
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6292-9
Online ISBN: 978-3-0348-6290-5
eBook Packages: Springer Book Archive