A Note About Measures, Jacobians and Moore–Penrose Inverse

Some 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...

Full description

Autores:
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad de Medellín
Repositorio:
Repositorio UDEM
Idioma:
eng
OAI Identifier:
oai:repository.udem.edu.co:11407/5647
Acceso en línea:
http://hdl.handle.net/11407/5647
Palabra clave:
Generalised inverse
Hausdorff measure
Jacobian
Lebesgue measure
Matrix differentiation
Rights
License
http://purl.org/coar/access_right/c_16ec
Description
Summary:Some 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.

Publicaciones similares