求解l_2空间中算子方程的ABS算法的收敛性(英文)
Convergence Properties of the ABS Algorithm for Solving Operator Equations in l_2 Spaces
摘要
将求解线性与非线性方程组的ABS算法应用于无穷维线性方程组,讨论了l2空间中算子方程的ABS算法的解的收敛性质.
In this paper,the basic ABS Algorithm is applied to the solving of the infinite systems in l_2 spaces.Some convergence properties of the Algorithm for the complete infinite case are given.
出处
《辽宁师范大学学报(自然科学版)》
CAS
2004年第1期18-20,共3页
Journal of Liaoning Normal University:Natural Science Edition
参考文献3
-
1[1]WANG W,NIE J H XIA Z Q.The AIBS Algorithm for Solving Systems of Linear Equations in l2 Spaces[J] ,Journal of Liaoning Normal University,2003(3) :228-230
-
2[2]ABAFFY J, SPEDICATO E.ABS Projection Algorithm:Mathematical Techniques for linear and Nonlinear Algebraic Equations[M] .New York:Ellis Horwood, Chichestor, 1989.17-37.
-
3[3]NICOLAI S, SPEDICATO E.A Bibliograghy of the AIS Methods[J].Opfimizafion Methods and Software,1997(8):171-183.
-
1王炜,聂金花,夏尊铨.关于无穷维线性方程组的ABS算法[J].辽宁师范大学学报(自然科学版),2003,26(3):228-230.
-
2朱全新,戴永隆.两类生灭过程爆发前的若干向上性质[J].中山大学学报(自然科学版),2004,43(2):1-4. 被引量:2
-
3朱全新,杨向群.以0为反射壁和拟飞射壁的生灭过程爆发前的向下性质[J].应用概率统计,2005,21(2):188-196. 被引量:4