DOI: 10.1155/2013/593549
View full text |Buy / Rent full text
Sign up to set email alerts

Abstract: We consider the extremal inertias and ranks of the matrix expressionsf(X,Y)=A3-B3X-(B3X)*-C3YD3-(C3YD3)*, whereA3=A3*,  B3,  C3, andD3are known matrices andYandXare the solutions to the matrix equationsA1Y=C1,YB1=D1, andA2X=C2, respectively. As applications, we present necessary and sufficient condition for the previous matrix functionf(X,Y)to be positive (negative), non-negative (positive) definite or nonsingular. We also characterize the relations between the Hermitian part of the solutions of the above-ment… Show more

Help me understand this report

This publication either has no citations yet, or we are still processing them

Set email alert for when this publication receives citations?

See others like this or search for similar articles