欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
提出用连续的无导数Landweber方法（或称为无导数动力系统方法）研究Hilbert空间中的参数识别问题。不考虑算子F的Fr6chet可微性及其非线性条件，仅在与正演问题可解性相关的某些更为自然的假设条件下，用李雅普诺夫稳定性定理证明该动力系统是收敛且稳定的。在关于算子F更弱的源条件和非线性条件下，推导出相应的离散化后所得迭代方法的收敛率。数值算例验证了所得结论。
英文摘要：
A continuous derivative-free Landweber method （or called derivative-free dynamical sys- tem method） for solving parameter identification problems in Hilbert space setting is proposed. Without the Frrchet differentiability and the nonlinearity conditions of F, by using the theorem of Lyapunov stabil- ity, it is proven this dynamical system to be convergent and stable only with more natural assumptions as- sociated with the solvability of a direct problem, and derive the convergent rate of the corresponding itera- rive method under a weak source condition and a weak nonlinearity condition of F. Finally, some numeri- cal experiments are presented with PC-Matlab to verify the theoretical result.
同期刊论文项目
同项目期刊论文
期刊信息
位置：