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D. Carlson and B. N. Datta, “The Lyapunov Matrix Equation ,” Linear Algebra and Its Applications, Vol. 28, 1979, pp. 43-52. doi:10.1016/0024-3795(79)90117-4

has been cited by the following article:

• TITLE: Analyzing the Stability of a n-DOF System with Viscous Damping

  AUTHORS: Hashem Saberi Najafi, Amir Hosein Refahi Sheikhani

  KEYWORDS: n-DOF System, Inertia, Stability, Lanczos

  JOURNAL NAME: Applied Mathematics, Vol.2 No.8, August 3, 2011

  ABSTRACT: In this paper we introduce a numerically stable method for determining the stability of n-DOF system without computing eigenvalues. In this sense, at first we reduce the second-order system to a standard eigenvalue problem with symmetric tridiagonal form. Then we compute the exact inertia by using an algorithm based on floating point arithmetic [1]. Numerical tests report the effectiveness of these methods.