On Generalized Antieigenvalue and Antieigenmatrix of Order r
Ravindra Khattree · American Journal of Mathematical and Management Sciences · 2002
SYNOPTIC ABSTRACTThe concept of the smallest antieigenvalue of a real symmetric positive definite matrix is extended to the generalized antieigenvalue of order r, and thus instead of a corresponding antieigenvector, one confronts the problem of finding an antieigenmatrix of order r. We provide a closed form expression for the generalized antieigenvalue and generalized antieigenmatrix. These quantities have found certain applications in statistics, and these applications will be illustrated in a separate communication.