{"title":"About Hermitian Positive Definite Solutions of a Type of Nonlinear Matrix Equations","authors":"C. Tan","doi":"10.1109/ICCCS.2009.37","DOIUrl":null,"url":null,"abstract":"Let be an nonsingular matrix. In image processing, we must solve a system of linear equations[1], however, the solving of the System can be transformed to the solving of the equations . In this paper, we study the Hermitian positive definite solutions of the matrix equation . We give an equivalent equation of when the matrix equation has a Hermitian positive definite solution.","PeriodicalId":103274,"journal":{"name":"2009 International Conference on Computer and Communications Security","volume":"5 2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Computer and Communications Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCCS.2009.37","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Let be an nonsingular matrix. In image processing, we must solve a system of linear equations[1], however, the solving of the System can be transformed to the solving of the equations . In this paper, we study the Hermitian positive definite solutions of the matrix equation . We give an equivalent equation of when the matrix equation has a Hermitian positive definite solution.