Title of article :
A note on positive definiteness and stability of interval matrices
Author/Authors :
Veiseh, H. Department of Applied Mathematics - Hamedan Branch, Islamic Azad University
Abstract :
It is proved that by using bounds of eigenvalues of an interval matrix, some conditions for checking positive definiteness and stability of interval matrices can be presented. These conditions have been proved previously with various methods and now we provide some new proofs for them with a unity method. Furthermore we introduce a new necessary and sufficient condition for checking stability of interval matrices.
Keywords :
Interval matrix , Real eigenvalues , Positive definiteness , Stability , Symmetric matrix
Journal title :
نظريه تقريب و كاربردهاي آن
