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子矩阵约束下的埃尔米特广义反汉密尔顿矩阵特征值反问题及其最佳逼近
  • ISSN号：1003-3998
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：691-701
  • 分类：O211.4[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]广东工业大学应用数学学院,广州510006, [2]华南师范大学数学科学学院,广州510631
  • 相关基金：国家自然科学基金（10671077,10971075）、广东省自然科学基金（06025061,9151063101000021）和广东工业大学校级博士启动基金（103005）资助
  • 相关项目：基因概率布尔网络模型的数值分析
作者： 莫荣华|黎稳|
关键词： 反问题, 埃尔米特矩阵, 广义反汉密尔顿矩阵, 子矩阵约束, 最佳逼近, Inverse problem, Hermitian matrix, Generalized skew-Hamiltonian matrix, Submatrix constraint, Best approximation.
中文摘要：

该文研究了子矩阵约束下埃尔米特广义反汉密尔顿矩阵特征值反问题，得到了该问题解的表达式．证明了该约束下其最佳逼近解的存在性和唯一性，建立了其最佳逼近解，并给出了求最佳逼近解的数值算法和算例．

英文摘要：

In this paper, the authors consider the inverse eigenvalue problem of Hermitian and generalized skew-Hamiltonian matrices with a submatrix constraint, provide an expression of the solution. The authors also show that the best approximation is existed and unique and provide an expression of the solution. A numerical algorithm is given, and a numerical example is provided to illustrate the results.

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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:5382