Error bounds for convex multifunctions in normed spaces 賦范空間上凸多值映射的誤差界
Robustness of obe algorithms to underestimation of error bounds 算法對誤差界低估的魯棒性
Error bounds for pseudoconvex multifunctions 偽凸集值映射的誤差界
The global resolvent - type error bounds for generalized quasi variational inclusions are given under certain conditions 其研究結果可以討論集值擬變分包含的各種迭代方法的收斂性。
The error bounds of first and second partial derivatives for the two - dimension rational splines produced by the error of boundary conditions are estimated 討論邊界條件對二元cv有理插值樣條函數的影響,分別建立了兩類邊界值所控制的估計式
Chapter 1 and 2 are the basic knowledge to use monte carlo and quasi - monte carlo methods . chapter 1 presents the error bounds of monte carlo and quasi - monte carlo integration methods 第1章和第2章是關于蒙特卡羅和擬蒙特卡羅方法的預備知識。
The concepts of the global ( local ) resolvent - type error bounds for set - valued quasi variational inclusions are presented , which can be used to analyze the convergence rates of various methods 摘要提出了集值擬變分包含的全局預解類誤差界的概念,給出集值擬變分包含的全局預解類誤差界。
Thirdly , the effects on the cv rational interpolating splines from the perturbation of the two boundary conditions are analyzed . from this the error bounds of first and second derivatives of cv rational interpolating spline are given 然后,分析了兩類端點條件的擾動對cv有理插值樣條函數的影響,給出了它們在非均勻節(jié)點處的一階和二階導數值的誤差界
In section two we derived one iterative method for solving the nonlinear equations , proved the properities of the majoring funtion and the convergence of the majoring sequence , gave one variety of iterative methmod and proved it . finally , the convergent condtions with one existed convergent theorem are amended and we also prove its convergence and get its error bounds . at last , it is proved that a midpint mehtod is convenge under the criterion of weak conditon 第三章對于已有的收斂性定理,給出了條件的修正,即去掉了文獻[ 5 ]中f ( x )的二級導函數滿足- hlder連續(xù)這一條件,用遞推方法證明了king - werner迭代法收斂,并得到誤差估計。
One is , based on answering the above open problem on a finite dimensional euclidean space by means of partially ordered theory , to research the existence of solutions , global error bounds of proximal solutions and sensitivity of parametric unique solutions and present a class of variable - parameter three - step iterative algorithms for generalized set - valued variational inclusion problems by using - resolvent operator of set - valued mapping . two is to consider the convexity , closedness and boundedness of the solution set of general set - valued variational inclusion problems and the sensitivity of the parametric solution set by means of graphical convergence theory . three is to discuss directly the existence of solutions by using analytical methods for set - valued mixed quasi - variational - like inequalities and suggest a class of direct variable - parameter three - step iterative algorithms for solving generalized set - valued variational inclusions 研究分有三個方面:一是借助于偏序理論在有限維歐氏空間中解決了上述公開問題,在此基礎上利用集值映射的-預解算子,研究了廣義集值變分包含問題解的存在性、逼近解的全局誤差界、參數唯一解的靈敏性,并提出了一類變參數三步迭代算法;二是借助于圖收斂理論研究了一般集值變分包含問題解集的凸性、閉性和有界性以及參數解集的靈敏性;三是用分析的方法直接討論了集值混合擬類變分不等式問題解的存在性并提出了一類求解廣義集值變分包含問題的直接變參數三步迭代算法。