{"title":"The inverse of a singular linear transformation and some applications in constrained mechanics","authors":"J. Cariñena, J. Fernández-Núñez","doi":"10.1088/0305-4470/39/34/011","DOIUrl":null,"url":null,"abstract":"We extend the notion of the Moore–Penrose inverse of a matrix to the case of a morphism between vector bundles and a more general concept is used to develop the geometric theory of Udwadia and Kalaba's approach to constrained Lagrangian mechanics.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2006-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of physics A: Mathematical and general","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0305-4470/39/34/011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We extend the notion of the Moore–Penrose inverse of a matrix to the case of a morphism between vector bundles and a more general concept is used to develop the geometric theory of Udwadia and Kalaba's approach to constrained Lagrangian mechanics.
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