International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 10, Pages 1543-1554
On the eigenvalues which express antieigenvalues
1Department of Mathematics, Indiana University East, Richmond 47374, IN, USA
2Department of Mathematics, University of Colorado, Boulder 80309-0395, CO, USA
Received 9 August 2004; Revised 22 March 2005
Copyright © 2005 Morteza Seddighin and Karl Gustafson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We showed previously that the first antieigenvalue and the components of the first antieigenvectors of an accretive compact normal operator can be expressed either by a pair of eigenvalues or by a single eigenvalue of the operator. In this paper, we pin down the eigenvalues of that express the first antieigenvalue and the components of the first antieigenvectors. In addition, we will prove that the expressions which state the first antieigenvalue and the components of the first antieigenvectors are unambiguous. Finally, based on these new results, we will develop an algorithm for computing higher