In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal E-convex and related functions. Also, some dual results are establish...In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal E-convex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288（2003） 365-382].展开更多
Let R be an associative ring with identity. R is said to be semilocal if R/J（R） is （semisimple） Artinian, where J（R） denotes the Jacobson radical of R. In this paper, we give necessary and sufficient conditions ...Let R be an associative ring with identity. R is said to be semilocal if R/J（R） is （semisimple） Artinian, where J（R） denotes the Jacobson radical of R. In this paper, we give necessary and sufficient conditions for the group ring RG to be semilocal, where G is a locally finite nilpotent group.展开更多
Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R=F×F where F is a field such that CharF=0. In this paper, we prove that any Jordan automorphism of T(R) can be decomp...Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R=F×F where F is a field such that CharF=0. In this paper, we prove that any Jordan automorphism of T(R) can be decomposed into a product of involutive, inner and diagonal automorphisms.展开更多
We are concerned with the numerical methods for nonlinear equation and their semilocal convergence in this paper.The construction techniques of iterative methods are induced by using linear approximation,integral inte...We are concerned with the numerical methods for nonlinear equation and their semilocal convergence in this paper.The construction techniques of iterative methods are induced by using linear approximation,integral interpolation,Adomian series decomposition,Taylor expansion,multi-step iteration,etc.The convergent conditions and proof methods,including majorizing sequences and recurrence relations,in semilocal convergence of iterative methods for nonlinear equations are discussed in the theoretical analysis.The majorizing functions,which are used in majorizing sequences,are also discussed in this paper.展开更多
基金Foundation item： Supported by Hunan Provincial Natural Science Foundation of China（05JJ40103） Supported by Soft Science Research Fund of Hunan Province（2006ZK3028） Supported by Scientific Research Fund of Hunan Provincial Education Department（105B0707, 08C470）
文摘In this paper, some necessary and sufficient optimality conditions are obtained for a fractional multiple objective programming involving semilocal E-convex and related functions. Also, some dual results are established under this kind of generalized convex functions. Our results generalize the ones obtained by Preda[J Math Anal Appl, 288（2003） 365-382].
基金Foundation item:The NNSF(10571026)of China,the NSF(BK2005207)of Jiangsu Provincethe Specialized Research Fund(20060286006)for the Doctoral Program of Higher Education.
文摘Let R be an associative ring with identity. R is said to be semilocal if R/J（R） is （semisimple） Artinian, where J（R） denotes the Jacobson radical of R. In this paper, we give necessary and sufficient conditions for the group ring RG to be semilocal, where G is a locally finite nilpotent group.
文摘Let T(R) be a two-order upper matrix algebra over the semilocal ring R which is determined by R=F×F where F is a field such that CharF=0. In this paper, we prove that any Jordan automorphism of T(R) can be decomposed into a product of involutive, inner and diagonal automorphisms.
文摘We are concerned with the numerical methods for nonlinear equation and their semilocal convergence in this paper.The construction techniques of iterative methods are induced by using linear approximation,integral interpolation,Adomian series decomposition,Taylor expansion,multi-step iteration,etc.The convergent conditions and proof methods,including majorizing sequences and recurrence relations,in semilocal convergence of iterative methods for nonlinear equations are discussed in the theoretical analysis.The majorizing functions,which are used in majorizing sequences,are also discussed in this paper.
基金Supported by the Sicence and Research Foundation of Nanjing Universityof Information Science & Technology(No.S8108058001)supported by the National Natural Science Foundation of China(No.10571026)+1 种基金the Natural Science Foundation of Jiangsu Province(No.BK2005207)theSpecialized Research Fund for the Doctoral Program of Higher Education(20060286006)
