Accretive-dissipative矩阵的行列式不等式

详细信息    查看全文 | 推荐本文 |

英文篇名：Determinantal Inequality for Accretive-dissipative Matrices 作者：薛建明 英文作者：XUE Jianming;Oxbridge College,Kunming University of Science and Technology; 关键词：Accretive-dissipative矩阵 ; 行列式不等式 ; 特征值 英文关键词：accretive-dissipative matrices;;determinantal inequality;;eigenvalue 中文刊名：GZDI 英文刊名：Journal of Guizhou University(Natural Sciences) 机构：昆明理工大学津桥学院; 出版日期：2019-02-15 出版单位：贵州大学学报(自然科学版) 年：2019 期：v.36 基金：云南省教育厅科学研究基金项目资助(2014Y645,2018JS747) 语种：中文; 页：GZDI201901003 页数：2 CN：01 ISSN：52-5002/N 分类号：16-17

摘要

本文讨论了Accretive-dissipative矩阵的行列式不等式。首先得到了一个正定矩阵的行列式不等式,在此基础上给出了一个新的Accretive-dissipative矩阵的行列式不等式。
        The determinantal inequality for Accretive-dissipative matrices was discussed. Firstly,an inequality of positive definite matrices was presented. Then,a new determinantal inequality for Accretive-dissipative matrices was obtained.

引文

[1]Kh. D.Ikramov. Determinantal inequalities for Accretive-dissipative matrices[J].J.Math.Sci.(New York),2004,121:2458-2462.
    [2]M. Lin. Fischer type determinantal inequalities for Accretive-dissipative matrices[J].Linear Algebra Appl,2013,438:2808-2812.
    [3]S.W.Drury. Fischer determinantal inequalities and Higham,s Conjecture[J].Linear Algebra Appl,2013,439:3129-3133.
    [4]S. Chen. Some determinantal inequalities for Hadamard product ofmatrices[J].Linear Algebra Appl,2003,368:99-106.
    [5]X. Fu,C. He. On Some Fischer type determinantal inequalities for Accretive-dissipative matrices[J].J.Inequal. Appl,2013:316.
    [6]J. Xue,X.Hu. On Fischer type determinantal inequalities for Accretive-dissipative matrices[J].J.Inequal. Appl,2015:194.
    [7]X.Zhan. Computing the extremal positive definite solutions of a matrix equation[J].SIAM J.Sci.Comput,1996,17:1167-1174.