Notes On The Non Linear Operator Equation I AXAX n  *

Authors

  • B.A. Ahmed
  • M.M. Hilal

Keywords:

non-linear operator equation; spectral radius; positive definite operator. AMS classification: 39B42.

Abstract

  Necessary and sufficient conditions for the operator equation I AXAX n  * , to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X andAare given.

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Published

29-Dec-2016

Issue

Vol. 24 No. 1 (2011)

Section

Mathematics

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