{"title":"WG逆及其在约束矩阵逼近问题中的应用","authors":"Hongxing Wang, Ju Gao, Xiaoji Liu","doi":"10.2306/scienceasia1513-1874.2023.001","DOIUrl":null,"url":null,"abstract":": We study the application of WG inverse to a constrained matrix approximation problem to deduce the unique solution of the problem, and get characterizations of WG inverse by applying matrix decompositions. Moreover, we get one Gauss-Jordan elimination method for the WG inverse.","PeriodicalId":21577,"journal":{"name":"Scienceasia","volume":"1 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The WG inverse and its application in a constrained matrix approximation problem\",\"authors\":\"Hongxing Wang, Ju Gao, Xiaoji Liu\",\"doi\":\"10.2306/scienceasia1513-1874.2023.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": We study the application of WG inverse to a constrained matrix approximation problem to deduce the unique solution of the problem, and get characterizations of WG inverse by applying matrix decompositions. Moreover, we get one Gauss-Jordan elimination method for the WG inverse.\",\"PeriodicalId\":21577,\"journal\":{\"name\":\"Scienceasia\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Scienceasia\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://doi.org/10.2306/scienceasia1513-1874.2023.001\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Scienceasia","FirstCategoryId":"103","ListUrlMain":"https://doi.org/10.2306/scienceasia1513-1874.2023.001","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
The WG inverse and its application in a constrained matrix approximation problem
: We study the application of WG inverse to a constrained matrix approximation problem to deduce the unique solution of the problem, and get characterizations of WG inverse by applying matrix decompositions. Moreover, we get one Gauss-Jordan elimination method for the WG inverse.
期刊介绍:
ScienceAsia is a multidisciplinary journal publishing papers of high quality bimonthly, in printed and electronic versions, by the Science Society of Thailand under Royal Patronage and the National Research Council of Thailand. The journal publishes original research papers that provide novel findings and important contribution to broad area in science and mathematics. Areas covered include Biological Sciences and Biotechnology, Chemistry and Material Sciences, Environmental and Applied Sciences, and Mathematics and Physical Sciences. Manuscripts may report scientifically useful data, observations or model predictions, and/or provide a new scientific concept or a new explanation of published results. Submissions of materials of current scientific interest are highly welcome, provided that there is sufficient scientific merit. The journal will not accept manuscripts which have been published or are being considered for publication elsewhere, nor should manuscripts being considered by ScienceAsia be submitted to other journals. Submitted manuscripts must conform to the guidelines given in the Instructions for Authors