A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems

作者：Bu, Yiming; Carpentieri, Bruno^*; Shen, Zhaoli; Huang, Ting-Zhu

来源：Applied Numerical Mathematics, 2016, 104: 141-157.

DOI：10.1016/j.apnum.2015.12.007

• Linear systems
• Iterative solvers
• Preconditioners
• Sparse approximate inverse methods
• Multilevel reordering algorithms

In this paper we introduce an algebraic recursive multilevel incomplete factorization preconditioner, based on a distributed Schur complement formulation, for solving general linear systems. The novelty of the proposed method is to combine factorization techniques of both implicit and explicit types, recursive combinatorial algorithms, multilevel mechanisms and overlapping strategies to maximize sparsity in the inverse factors and consequently reduce the factorization costs. Numerical experiments demonstrate the good potential of the proposed solver to precondition effectively general linear systems, also against other state-of-the-art iterative solvers of both implicit and explicit form.

• 出版日期2016-6
• 单位电子科技大学