Abstract
The numbers of the roots of det (B-λA) in different portions of the real axis are determined, whereA andB are Hermitian matrices andB is positive definite. The result is an extension of a theorem by Xiaoshu and Hua [4].
Zusammenfassung
Die Anzahl der Wurzeln von det (B-λA) in verschiedenen Teilen der reellen Achse wird bestimmt, woA undB Hermitesche Matrizen sind undB positiv definit ist. Das Resultat ist eine Verallgemeinerung eines Satzes von Xiaoshu und Hua [4].
This is a preview of subscription content, log in via an institution to check access.
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Cottle, R. W.: Manifestations of the Schur complement. Linear Algebra Appl.8, 189–211 (1974).
Hohn, F. E.: Elementary Matrix Algebra, 3rd ed., p. 473. New York: Macmillan 1973.
Noble, B.: Applied Linear Algebra, p. 396. Englewood Cliffs, N. J.: Prentice-Hall 1969.
Xiaoshu, P., Hua, D.: A theorem for locating eigenvalues. Computing35, 93–96 (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Väliaho, H. A note on locating eigenvalues. Computing 37, 265–267 (1986). https://doi.org/10.1007/BF02252518
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02252518