{"title":"关于可分离非线性最小二乘问题的一个注记","authors":"W. Gharibi, O. Al-Mushayt","doi":"10.1109/ICFCSA.2011.19","DOIUrl":null,"url":null,"abstract":"Separable nonlinear least squares (SNLS) problem is a special class of nonlinear least squares (NLS) problems, whose objective function is a mixture of linear and nonlinear functions. It has many applications in many different areas, especially in Operations Research and Computer Sciences. They are difficult to solve with the infinite-norm metric. In this paper, we give a short note on the separable nonlinear least squares problem, unseparated scheme for NLS, and propose an algorithm for solving mixed linear-nonlinear minimization problem, method of which results in solving a series of least squares separable problems.","PeriodicalId":141108,"journal":{"name":"2011 International Conference on Future Computer Sciences and Application","volume":"33 3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Note on Separable Nonlinear Least Squares Problem\",\"authors\":\"W. Gharibi, O. Al-Mushayt\",\"doi\":\"10.1109/ICFCSA.2011.19\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Separable nonlinear least squares (SNLS) problem is a special class of nonlinear least squares (NLS) problems, whose objective function is a mixture of linear and nonlinear functions. It has many applications in many different areas, especially in Operations Research and Computer Sciences. They are difficult to solve with the infinite-norm metric. In this paper, we give a short note on the separable nonlinear least squares problem, unseparated scheme for NLS, and propose an algorithm for solving mixed linear-nonlinear minimization problem, method of which results in solving a series of least squares separable problems.\",\"PeriodicalId\":141108,\"journal\":{\"name\":\"2011 International Conference on Future Computer Sciences and Application\",\"volume\":\"33 3\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-06-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2011 International Conference on Future Computer Sciences and Application\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICFCSA.2011.19\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 International Conference on Future Computer Sciences and Application","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICFCSA.2011.19","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Note on Separable Nonlinear Least Squares Problem
Separable nonlinear least squares (SNLS) problem is a special class of nonlinear least squares (NLS) problems, whose objective function is a mixture of linear and nonlinear functions. It has many applications in many different areas, especially in Operations Research and Computer Sciences. They are difficult to solve with the infinite-norm metric. In this paper, we give a short note on the separable nonlinear least squares problem, unseparated scheme for NLS, and propose an algorithm for solving mixed linear-nonlinear minimization problem, method of which results in solving a series of least squares separable problems.