Title :
Eigenvalues of tridiagonal symmetric interval matrices
Author_Institution :
Dept. Inf., Inst. Nat. des Sci. Appliquees de Lyon, Villeurbanne, France
fDate :
2/1/1994 12:00:00 AM
Abstract :
An algorithm for the determination of the eigenvalues of tridiagonal symmetric interval matrices is presented. The intervals of the eigenvalues are not overestimated, but exactly calculated. The algorithm is an efficient one, because it only needs twice as many operations as the Sturm algorithm, which is used for real matrices
Keywords :
eigenvalues and eigenfunctions; matrix algebra; eigenvalues; modified Sturm algorithm; tridiagonal symmetric interval matrices; Arithmetic; Calculus; Capacitors; Differential equations; Eigenvalues and eigenfunctions; Polynomials; Resistors; Symmetric matrices; Voltage;
Journal_Title :
Automatic Control, IEEE Transactions on
