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Multilevel InverseBased Factorization Preconditioner for Solving Sparse Linear Systems in Electromagnetics
(2018)We introduce an algebraic recursive multilevel approximate inversebased preconditioner, based on a distributed Schur complement formulation. The proposed preconditioner combines recursive combinatorial algorithms and ... 
An efficient elimination strategy for solving PageRank problems
(2017)In Web link structures, similar link distributions often occur, especially for pages from same hosts. For PageRank problems, similar inlink distributions of pages result in similar row patterns of the transition matrix. ... 
Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics
(2012)We report on experiments with a novel family of Krylov subspace methods for solving dense, complex, nonHermitian systems of linear equations arising from the Galerkin discretization of surface integral equation models in ... 
Using the VBARMS method in parallel computing
(2016)The paper describes an improved parallel MPIbased implementation of VBARMS, a variable block variant of the pARMS preconditioner proposed by Li et al. [2003][14] for solving general nonsymmetric linear systems. The parallel ... 
A spectrally preconditioned and initially deflated variant of the restarted block GMRES method for solving multiple righthand sides linear systems
(Pergamon, 2018)The solution of large linear systems with multiple righthand sides given simultaneously is required in many largescale scientific and engineering applications modelled by either partial differential or boundary integral ... 
Offdiagonal lowrank preconditioner for difficult PageRank problems
(NorthHolland, 2019)PageRank problem is the cornerstone of Google search engine and is usually stated as solving a huge linear system. Moreover, when the damping factor approaches 1, the spectrum properties of this system deteriorate rapidly ... 
Flexible and deflated variants of the block shifted GMRES method
(NorthHolland, 2019)The solution of linear systems with multiple shifts and multiple righthand sides given simultaneously is required in many largescale scientific and engineering applications. In this paper we introduce new flexible and ... 
A New Shifted Block GMRES Method with Inexact Breakdowns for Solving MultiShifted and Multiple RightHand Sides Linear Systems
(Springer US, 2018)We consider the efficient solution of linear systems with multiple shifts and multiple righthand sides given simultaneously that arise frequently in largescale scientific and engineering simulations. We introduce a new ... 
A costeffective smoothed multigrid with modified neighborhoodbased aggregation for Markov chains
(Hindawi, 2015)Smoothed aggregation multigrid method is considered for computing stationary distributions of Markov chains. A judgement which determines whether to implement the whole aggregation procedure is proposed. Through this ...