22 citations · 53 across the 13 of their papers we have counts for
6 papers · 1 filter
Asynchronous iterations of HSS method for non-Hermitian linear systems
Guillaume Gbikpi-Benissan, Qinmeng Zou, Frédéric Magoulès
A general asynchronous alternating iterative model is designed, for which convergence is theoretically ensured both under classical spectral radius bound and, then, for a classical…
GMRES algorithms over 35 years
Qinmeng Zou
This paper is about GMRES algorithms for the solution of nonsingular linear systems. We first consider basic algorithms and study their convergence. We then focus on acceleration s…
On Extensions of Limited Memory Steepest Descent Method
Qinmeng Zou, Frederic Magoules
We present some extensions to the limited memory steepest descent method based on spectral properties and cyclic iterations. Our aim is to show that it is possible to combine sweep…
Fast Gradient Methods with Alignment for Symmetric Linear Systems without Using Cauchy Step
Qinmeng Zou, Frederic Magoules
The performance of gradient methods has been considerably improved by the introduction of delayed parameters. After two and a half decades, the revealing of second-order informatio…
Parameter Estimation in the Hermitian and Skew-Hermitian Splitting Method Using Gradient Iterations
Qinmeng Zou, Frederic Magoules
This paper presents enhancement strategies for the Hermitian and skew-Hermitian splitting method based on gradient iterations. The spectral properties are exploited for the paramet…
A New Cyclic Gradient Method Adapted to Large-Scale Linear Systems
Qinmeng Zou, Frederic Magoules
This paper proposes a new gradient method to solve the large-scale problems. Theoretical analysis shows that the new method has finite termination property for two dimensions and c…