2016/05/10 by Licio H. Bezerra, Bezerra, Licio H.
Computer Science · Mathematics · Physics and Astronomy · #15A18 #65F15 #65F50 #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.1605.03223
openalex publication_date 2016/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we introduce the Diagonal Dominant Pole Spectrum Eigensolver (DDPSE), which is a fixed-point method that computes several eigenvalues of a matrix at a time. DDPSE is a slight modification of the Dominant Pole Spectrum Eigensolver (DPSE), that has being used in power system stability studies. We show that both methods have local quadratic convergence. Moreover, we present practical results obtained by both methods, from which we can see that those methods really compute dominant poles of a transfer function of the type cT(A-sI)-1b, where b and c are vectors, besides being also effective in finding low damped modes of a large scale power system.