7 citations · 8 across the 7 of their papers we have counts for
7 papers
A FEAST variant incorporated with a power iteration
Man-Chung Yeung, Long Lee
We present a variant of the FEAST matrix eigensolver for solving restricted real and symmetric eigenvalue problems. The method is derived from a combination of a variant of the FEA…
A Spectral Projection Preconditioner for Solving Ill Conditioned Linear Systems
Man-Chung Yeung, Craig C. Douglas, Long Lee
We present a preconditioner based on spectral projection that is combined with a deflated Krylov subspace method for solving ill conditioned linear systems of equations. Our result…
On Solving Ill-Conditioned Linear Systems
Craig C. Douglas, Long Lee, Man-Chung Yeung
This paper presents the first results to combine two theoretically sound methods (spectral projection and multigrid methods) together to attack ill-conditioned linear systems. Our…
A FEAST Algorithm with oblique projection for generalized eigenvalue problems
Guojian Yin, Raymond H. Chan, Man-Chung Yeung
The contour-integral based eigensolvers are the recent efforts for computing the eigenvalues inside a given region in the complex plane. The best-known members are the Sakurai-Sugi…
ML(n)BiCGStabt: A ML(n)BiCGStab variant with A-transpose
Man-Chung Yeung
The 1980 IDR method plays an important role in the history of Krylov subspace methods. It started the research of transpose-free Krylov subspace methods. In this paper, we make a f…
An introduction to ML(n)BiCGStab
Man-Chung Yeung
ML(n)BiCGStab is a Krylov subspace method for the solution of large, sparse and non-symmetric linear systems. In theory, it is a method that lies between the well-known BiCGStab an…
ML(n)BiCGStab: Reformulation, Analysis and Implementation
Man-Chung Yeung
With the aid of index functions, we re-derive the ML(n)BiCGStab algorithm in a paper by Yeung and Chan in 1999 in a more systematic way. It turns out that there are n ways to defin…