3 papers
math.NA2017
A new shift strategy for the implicitly restarted generalized second-order Arnoldi method
FangHui Gong, Yuquan Sun
In this paper, a new shift strategy for the implicitly restarted generalized second-order Arnoldi (GSOAR) method is proposed. In implicitly restarted processes, we can get a -st…
math.NA2017
The inexact residual iteration method for quadratic eigenvalue problem and the analysis of convergence
Liu Yang, Yuquan Sun, Fanghui Gong
In this paper, we first establish the convergence criteria of the residual iteration method for solving quadratic eigenvalue problem- s. We analyze the impact of shift point and th…
math.NA2017
An Inexact Inverse Power Method for Numerical Analysis of Stochastic Dynamic Systems
Yuquan Sun, Fanghui Gong, Igor V. Ovchinnikov +1
This paper proposes an efficient method for computing partial eigenvalues of large sparse matrices what can be called the inexact inverse power method (IIPM). It is similar to the…