A Fast Algebraic Reconstruction Method for Inverse Problem

被引：0

作者：

Lin, Chuan ^{[1
]}

Zang, Jiefeng ^{[1
]}

Qing, Anyong ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Phys Elect, Ctr Informat BioMed, Chengdu 610054, Sichuan, Peoples R China

来源：

2015 IEEE INTERNATIONAL SYMPOSIUM ON ANTENNAS AND PROPAGATION & USNC/URSI NATIONAL RADIO SCIENCE MEETING | 2015年

关键词：

ALGORITHM; CONVERGENCE;

D O I：

暂无

中图分类号：

TN [电子技术、通信技术];

学科分类号：

0809 ;

摘要：

An accelerated Kaczmarz algorithm with projection adjustment (KAPA) and its randomized version (RKAPA) have been proposed in this paper. At each iteration of KAPA, an inertial term is added to make further adjustment on the projective solution on the hyperplane of Kaczmarz algorithm (KA) to accelerate the convergence. Numerical simulations have been conducted. The efficiency of KAPA and RKAPA have been well demonstrated by the simulation results.

引用

页码：912 / 913

页数：2

共 8 条

[1] Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems
Censor, Y
Gordon, D
Gordon, R
[J]. PARALLEL COMPUTING, 2001, 27 (06) : 777 - 808
[2] On the Randomized Kaczmarz Algorithm
Dai, Liang
Soltanalian, Mojtaba
Pelckmans, Kristiaan
[J]. IEEE SIGNAL PROCESSING LETTERS, 2014, 21 (03) : 330 - 333
[3] BLOCK-ITERATIVE METHODS FOR CONSISTENT AND INCONSISTENT LINEAR-EQUATIONS
ELFVING, T
[J]. NUMERISCHE MATHEMATIK, 1980, 35 (01) : 1 - 12
[4] AIR Tools - A MATLAB package of algebraic iterative reconstruction methods
Hansen, Per Christian
Saxild-Hansen, Maria
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (08) : 2167 - 2178
[5] Convergence of the simultaneous algebraic reconstruction technique (SART)
Jiang, M
Wang, G
[J]. IEEE TRANSACTIONS ON IMAGE PROCESSING, 2003, 12 (08) : 957 - 961
[6] Paved with good intentions: Analysis of a randomized block Kaczmarz method
Needell, Deanna
Tropp, Joel A.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 441 : 199 - 221
[7] Kaczmarz extended algorithm for tomographic image reconstruction from limited-data
Popa, C
Zdunek, R
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2004, 65 (06) : 579 - 598
[8] A Randomized Kaczmarz Algorithm with Exponential Convergence
Strohmer, Thomas
Vershynin, Roman
[J]. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2009, 15 (02) : 262 - 278

← 1 →