Title :
Extended Kaczmarz algorithm with projection adjustment
Author :
Chuan Lin;Jiefeng Zang;Anyong Qing
Author_Institution :
School of Physical Electronics, Center for Information in BioMedicine, Center for Robotics University of Electronic Science and Technology of China, Chengdu, 610054, China
Abstract :
To accelerate the convergence of Kaczmarz algorithm (KA) in consistent case, an improved Kaczmarz algorithm with projection adjustment (KAPA) has been designed by the author. In order to deal with inconsistent case, extended KAPA (EKAPA) and its randomized version (ERKAPA) have been proposed in this paper. Numerical simulations of solving inconsistent linear equations have been conducted. The efficiency of EKAPA and ERKAPA have been verified by the simulation results.
Keywords :
"Mathematical model","Convergence","Algorithm design and analysis","Signal processing algorithms","Acceleration","Image reconstruction","Subspace constraints"
Conference_Titel :
Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), 2015 IEEE MTT-S International Conference on
DOI :
10.1109/NEMO.2015.7414998
