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A Note About Measures, Jacobians and Moore–Penrose Inverse

dc.creatorDíaz-García J.A.
dc.creatorCaro-Lopera F.J.
dc.date2020
dc.date.accessioned2020-04-29T14:53:33Z
dc.date.available2020-04-29T14:53:33Z
dc.identifier.issn10186301
dc.identifier.urihttp://hdl.handle.net/11407/5647
dc.descriptionSome general problems of Jacobian computations in non-full rank matrices are revised in this work. We prove that the Jacobian of the Moore Penrose inverse derived via matrix differential calculus is incorrect. In addition, the Jacobian in the full rank case is derived under the simple and old theory of the exterior product. © 2020, Iranian Mathematical Society.
dc.language.isoeng
dc.publisherSpringer
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85079634164&doi=10.1007%2fs41980-020-00365-x&partnerID=40&md5=59e022b080e4fa77192f27d3a35b0305
dc.sourceBulletin of the Iranian Mathematical Society
dc.subjectGeneralised inverse
dc.subjectHausdorff measure
dc.subjectJacobian
dc.subjectLebesgue measure
dc.subjectMatrix differentiation
dc.titleA Note About Measures, Jacobians and Moore–Penrose Inverse
dc.typeArticleeng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programFacultad de Ciencias Básicas
dc.identifier.doi10.1007/s41980-020-00365-x
dc.publisher.facultyFacultad de Ciencias Básicas
dc.affiliationDíaz-García, J.A., Facultad de Zootecnia y Ecología, Universidad Autónoma de Chihuahua, Periférico Francisco R. Almada Km 1, Zootecnia, Chihuahua, Chihuahua 33820, Mexico; Caro-Lopera, F.J., Faculty of Basic Sciences, Universidad de Medellín, Carrera 87 No. 30-65, of. 4-216, Medellín, Colombia
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dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.type.driverinfo:eu-repo/semantics/article


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