Rayleigh quotient iteration and simplified Jacobi–Davidson method with preconditioned iterative solves

Convergence and quotient convergence of

Convergence and quotient convergence of iterative methods for solving singular linear equations with index one

✍ Lijing Lin; Yimin Wei; Naimin Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 146 KB

Singular systems with index one arise in many applications, such as Markov chain modelling. In this paper, we use the group inverse to characterize the convergence and quotient convergence properties of stationary iterative schemes for solving consistent singular linear systems when the index of the