基于Deflation技术的预调制Restarted GMRES算法  

Preconditioned Restarted GMRES Algorithm Based on Deflation Technique

作　　者：陈锋[1] 王化祥[1] 

机构地区：[1]天津大学电气与自动化工程学院,天津300072

出　　处：《传感技术学报》2012年第6期778-781,共4页Chinese Journal of Sensors and Actuators

基　　金：国家自然科学基金重大国际合作项目(60820106002);国家自然科学重点基金项目(60532020)

摘　　要：电学层析成像的图像重建需要对逆问题进行求解,而求解过程中存在着非线性、欠定性以及病态性严重等难题,使得图像重建可能不收敛,或者致使收敛,但获得的图像分辨率较低。针对现有的一些图像重建算法,提出基于Deflation技术的预调制Restarted GMRES算法,在原有full GMRES算法基础上,提高了收敛速度以及图像成像分辨率,并通过仿真实验证明。The image reconstruction of Electrical Tomography needs to solve inverse problem which is non-linear and ill-conditioned. This may make the image reconstruetion diverge or even if converge, the resolution is very low. In this paper, several commonly used image reconstruction algorithms are introduced. Also, based on the （;MRES algorithm ,this paper proposes a preconditioned restarted GMRES algorithm based on deflation technique to speed up convergence and improve imaging quality. Simulations and experiments show that it is effective to be applied in industrial two-phase measurement.

关 键 词：RestartedGMRES算法 Deflation技术 预调制 电学层析成像 图像重建 

分 类 号：TP391.411[自动化与计算机技术—计算机应用技术]