{"title":"Linear Systems","authors":"W. A. Coppel","doi":"10.1201/9781315275475-8","DOIUrl":"https://doi.org/10.1201/9781315275475-8","url":null,"abstract":"","PeriodicalId":245559,"journal":{"name":"Geometric Concepts for Geometric Design","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127661914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The method of least squares is a form of mathematical regression analysis that finds the approximate solution of overdetermined systems. The least-squares method provides the best fit to data in the sense that the overall solution minimizes the sum of the squares of the residuals made in the results of every single equation. This appendix covers two topics of the linear least-squares method: the geometric interpretation of least squares and the formula of the gradient of squared residuals. These two concepts are frequently used in this book.
{"title":"Least Squares","authors":"Pontus Giselsson","doi":"10.3840/000378","DOIUrl":"https://doi.org/10.3840/000378","url":null,"abstract":"The method of least squares is a form of mathematical regression analysis that finds the approximate solution of overdetermined systems. The least-squares method provides the best fit to data in the sense that the overall solution minimizes the sum of the squares of the residuals made in the results of every single equation. This appendix covers two topics of the linear least-squares method: the geometric interpretation of least squares and the formula of the gradient of squared residuals. These two concepts are frequently used in this book.","PeriodicalId":245559,"journal":{"name":"Geometric Concepts for Geometric Design","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124056335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2013-05-24DOI: 10.1201/9781315275475-45
Rasimate Maungchang
{"title":"Curves on Surfaces","authors":"Rasimate Maungchang","doi":"10.1201/9781315275475-45","DOIUrl":"https://doi.org/10.1201/9781315275475-45","url":null,"abstract":"","PeriodicalId":245559,"journal":{"name":"Geometric Concepts for Geometric Design","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115940515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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