共查询到20条相似文献,搜索用时 140 毫秒
1.
FIXEDPOINTSANDCOUPLEDFIXEDPOINTSFORINCREASINGOPERATORSWITHAPPLICMIONSTODIFFERENTIALINCLUSIONSINBANACHSPACESZHANGSHISHENGANDHU... 相似文献
2.
THE REAL CUBE DIFFERENTIAL SYSTEM WITH THREE REAL STRAIGHT LINE SOLUTIONS AND TWO CONJUGATE COMPLEX STRAIGHT LINE SOLUTIONSTH... 相似文献
3.
Shen Peilong 《高校应用数学学报(英文版)》1998,13(3):289-294
ONTHEEXISTENCEANDUNIQUENESSTHEOREMSOFSOLUTIONSFORACLASSOFTHESYSTEMSOFMIXEDMONOTONEOPERATOREQUATIONSWITHAPPLICATIONSHENPEILONG... 相似文献
4.
张虎明 《应用数学学报(英文版)》1996,12(3):257-277
ASYMPTOTICCANONICALFORMSANDITERATEDLOGARITHMRATERESULTSOFLEASTSQUARESESTIMATESFORUNSTABLEARMAMODELSZHANGHUMING(张虎明)(Departmen... 相似文献
5.
STABILITYINDIFFERENTIALEQUATIONSWITHCONTINUOUSANDPIECEWISECONSTANTARGUMENTSMing-PoChenSTABILITYINDIFFERENTIALEQUATIONSWITHCON... 相似文献
6.
ANOTEFORTHETOPOLOGICALCLASSIFICATIONOFSTRUCTURALLYSTABLEQUADRATICDIFFERENTIALSYSTEMSWITHOUTLIMITCYCLES¥YeWeiyin(叶惟寅)(NanjingN... 相似文献
7.
THE EXISTENCE AND UNIQUENESS AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS 总被引:1,自引:0,他引:1
Wang Quanyi 《数学年刊B辑(英文版)》1997,18(2):233-242
THEEXISTENCEANDUNIQUENESSANDSTABILITYOFALMOSTPERIODICSOLUTIONSFORFUNCTIONALDIFFERENTIALEQUATIONSWITHINFINITEDELAYSWANGQUANHNY... 相似文献
8.
CHEN ZHENTAO 《高校应用数学学报(英文版)》1994,9(3):231-236
ONTHEEXISTENCEANDUNIQUENESSOFPOSITIVESOLUTIONSFORACLASSOFDEGENERATEELLIPTICSYSTEMS¥CHENZHENTAO(DepartmentofMathematics,Xiangt... 相似文献
9.
《高校应用数学学报(英文版)》1997,(1)
EXACTBOUNDSOFTHEMODIFIEDLPTALGORITHMSAPPLYINGTOPARALLELMACHINESSCHEDULINGWITHNONSIMULTANEOUSMACHINEAVAILABLETIMESLINGUOHUI,H... 相似文献
10.
胡必锦 《数学物理学报(B辑英文版)》1994,(2)
CRITICALSTOPPINGTIMESANDSEMIMARTINGALESOFSTOCHASTICPROCESSESHuBijin(胡必锦)(DepartmentofMathematicsHUSTWuhan,HubeiP.R.C.3.1992)A... 相似文献
11.
A CLASS OF TRUST REGION METHODS FOR LINEAR INEQUALITY CONSTRAINED OPTIMIZATION AND ITS THEORY ANALYSIS:Ⅰ. ALGORITHM AND GLOBAL CONVERGENCE 总被引:1,自引:1,他引:0
XIUNAIHUA 《高校应用数学学报(英文版)》1995,10(3):287-296
A class of trust region methods tor solving linear inequality constrained problems is propo6ed in this paper. It is shown that the algorithm is of global convergence. The algorithm uses a version of the two-slded projection and the strategy of the unconstrained trust region methods. It keeps the good convergence properties of the unconstrained case and has the merits of the projection method. In some sense, our algorithm can be regarded as an extension and improvement of the projected type algorithm. 相似文献
12.
无约束非光滑优化问题的信赖域算法及收敛性 总被引:9,自引:0,他引:9
1.引言考虑下列无约束非光滑优化问题:其中f为R”上的局部LIPSChitZ函数.本文将11·112简记为11·l.信赖域算法是通过求解一系列子问题3*B(二,凸):来求解问题(1)的,其中拉x,·)为j在x点的一阶近似,B为nxn阶对称阵.下面给出信赖域的基本算法TRA:步1·给定... 相似文献
13.
本文针对大规模无约束优化问题研究了一个新的有限内存信赖域实现方法,提出了一个在有限维(维数≤2m+1)子空间上精确求解信赖域子问题的方法,大大减少了计算量;分析了方法的收敛性,并详细给出了数值计算方法,最后通过数值实验验证了方法的有效性. 相似文献
14.
15.
In this paper,we propose an improved trust region method for solving unconstrained optimization problems.Different with traditional trust region methods,our algorithm does not resolve the subproblem within the trust region centered at the current iteration point,but within an improved one centered at some point located in the direction of the negative gradient,while the current iteration point is on the boundary set.We prove the global convergence properties of the new improved trust region algorithm and give the computational results which demonstrate the effectiveness of our algorithm. 相似文献
16.
17.
Zhaocheng Cui Boying WuShaojian Qu 《Journal of Computational and Applied Mathematics》2011,235(8):2432-2441
In this paper, we propose a trust region method for unconstrained optimization that can be regarded as a combination of conic model, nonmonotone and line search techniques. Unlike in traditional trust region methods, the subproblem of our algorithm is the conic minimization subproblem; moreover, our algorithm performs a nonmonotone line search to find the next iteration point when a trial step is not accepted, instead of resolving the subproblem. The global and superlinear convergence results for the algorithm are established under reasonable assumptions. Numerical results show that the new method is efficient for unconstrained optimization problems. 相似文献
18.
In this paper, an adaptive trust region algorithm that uses Moreau–Yosida regularization is proposed for solving nonsmooth unconstrained optimization problems. The proposed algorithm combines a modified secant equation with the BFGS update formula and an adaptive trust region radius, and the new trust region radius utilizes not only the function information but also the gradient information. The global convergence and the local superlinear convergence of the proposed algorithm are proven under suitable conditions. Finally, the preliminary results from comparing the proposed algorithm with some existing algorithms using numerical experiments reveal that the proposed algorithm is quite promising for solving nonsmooth unconstrained optimization problems. 相似文献
19.
CURVILINEAR PATHS AND TRUST REGION METHODS WITH NONMONOTONIC BACK TRACKING TECHNIQUE FOR UNCONSTRAINED OPTIMIZATION 总被引:11,自引:0,他引:11
De-tong Zhu 《计算数学(英文版)》2001,19(3):241-258
1. Illtroductioncrust region method is a well-accepted technique in nonlinear optindzation to assure globalconvergence. One of the adVantages of the model is that it does not require the objectivefunction to be convex. Many differellt versions have been suggested in using trust regiontechnique. For each iteration, suppose a current iterate point, a local quadratic model of thefunction and a trust region with center at the point and a certain radius are given. A point thatminimizes the model f… 相似文献
20.
本文通过对无约束优化ODE算法的信赖域分析,提出了约束优化问题的曲线搜索信赖域算法,给出了算法步骤,并讨论了该算法的全局收敛性。 相似文献