• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Chinese science bulletin >Maximum entropy method for solving nonlinear ill-posed problems
【24h】

Maximum entropy method for solving nonlinear ill-posed problems

机译：求解非线性不适定问题的最大熵方法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Many problems of mathematical physics can be reduced to the finding of the solution f satisfying f≥0 of nonlinear operator equation F(f)=g. We are specially interested in the case that problem (1) is ill-posed; that is, the solutions of (1) do not depend continuously on the data. Now the regularization techniques are required. The traditionalmethod is Tikhonov regularization. In recent years, the concept of entropy was introduced into the study of ill-posed problems and developed the maximum entropymethod. It is found that the maximum entropy method has its own special effect for some problems. Up to now, all the researches are confined to linear problems. In this note we will extend the maximum entropy method to the study of nonlinear ill-posed problems.
机译：数学物理学的许多问题可以简化为找到满足非线性算子方程F（f）= gf≥0的解f。对于问题（1）不适当，我们特别感兴趣；即，（1）的解不连续地依赖于数据。现在需要正规化技术。传统方法是Tikhonov正则化。近年来，熵的概念被引入到不适定问题的研究中，并发展出最大熵方法。发现最大熵方法在某些问题上有其独特的效果。到目前为止，所有的研究都局限于线性问题。在本文中，我们将把最大熵方法扩展到非线性不适定问题的研究中。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号