Property of the Eigenvalue Bounds of a Class of Interval Matrices
Zhiqing He · Huadong Li-Gong Daxue xuebao · 2008
The computation of bounds to eigenvalues for symmetric tridiagonal interval matrices is(valuable) in some mechanical and engineering problems.In this paper it is proved that the upper and lower bounds of the eigenvalues must be achieved at the end points of the interval entries for certain symmetric tridiagonal interval matrices.This provides a good criterion for computing eigenvalue bounds for the(interval) matrices of this type.