{"title":"奇异线性变换的逆及其在约束力学中的一些应用","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":"{\"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}","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}
The inverse of a singular linear transformation and some applications in constrained mechanics
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.