A KIND OF IMPLICIT ITERATIVE METHODS FOR ILL-POSEDOPERATOR EQUATIONS

查看全文 作　　者：Guo-qiang He;Lin-clan Liu(Department of Mathematics, Shanghai University, Jiading Campus, Shanghai 201800, China) 出　　处：《Journal of Computational Mathematics》索引1999年第17卷第3期,共10页 摘　　要：1.IntroductionLetX,YbetworealHilbertspacesandletA:X--+Ybeaboundedlinearoperator.ConsidertheoperatorequationAx^y.(1.1)IfR(A),i.e.,therangeofA,isnonclosedinY,equation(1.1)isill-posed[1].Manyimportantproblemsinappliedsciencesresultinthiskindofequations... 关 键 词：III-posed equation IMPLICIT ITERATIVE method Control parameter Discrepamcy PRINCIPLE Optimal convergence rate