Title of article :
NORM-WISE, MIXED AND COMPONENT-WISE CONDITION NUMBERS OF MATRIX EQUATION A0 +kΣi=1σiA∗iXpiAi = 0, σi = ±1
Author/Authors :
POPCHEV, I.P., Bulgarian Academy of Sciences - Institute of Information and Communication Technologies, Bulgaria , KONSTANTINOV, M.M., University of Architecture, Civil Engineering and Geodesy, Bulgaria , PETKOV, P.H., Technical University of Sofia - Department of Automatics, Bulgaria , ANGELOVA, V.A., Bulgarian Academy of Sciences - Institute of Information and Communication Technologies, Bulgaria
Abstract :
This paper set out to determine norm-wise, mixed, and component-wise condition numbers of the nonlinear matrix equation A0 +kΣi=1σiA∗iXpiAi = 0, σi = ±1. Explicit expressions of the condition numbers are derived. Upper bounds of the mixed and the component-wise condition numbers are obtained for the real matrix equation. The effectiveness of the condition numbers proposed are illustrated by numerical examples.
Keywords :
Perturbation Analysis , Norm , wise , Mixed , Component , wise , Condition Numbers , Fr´echet Derivatives
Journal title :
applied and computational mathematics
