Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10553/16282
Título: A generalization of the Moore-Penrose inverse related to matrix subspaces of C(nxm)
Autores/as: Suárez Sarmiento, Antonio Félix 
González Sánchez, Luis 
Clasificación UNESCO: 120111 Teoría de matrices
120110 Algebra lineal
Palabras clave: Moore-Penrose inverse
Frobenius norm
S-Moore-Penrose inverse
Approximate inverse preconditioning
Constrained least squaresproblem
Fecha de publicación: 2010
Publicación seriada: Applied Mathematics and Computation 
Resumen: A natural generalization of the classical Moore-Penrose inverse is presented. The so-called S-Moore-Penrose inverse of a m x n complex matrix A, denoted by As, is defined for any linear subspace S of the matrix vector space Cnxm. The S-Moore-Penrose inverse As is characterized using either the singular value decomposition or (for the nonsingular square case) the orthogonal complements with respect to the Frobenius inner product. These results are applied to the preconditioning of linear systems based on Frobenius norm minimization and to the linearly constrained linear least squares problem.
URI: http://hdl.handle.net/10553/16282
ISSN: 0096-3003
DOI: 10.1016/j.amc.2010.01.062
Fuente: Applied Mathematics and Computation [ISSN 0096-3003], v. 216 (2), p. 514-522, (Marzo 2010)
Derechos: by-nc-nd
Colección:Artículos
miniatura
Adobe PDF (271,05 kB)
Vista completa

Google ScholarTM

Verifica

Altmetric


Comparte



Exporta metadatos



Los elementos en ULPGC accedaCRIS están protegidos por derechos de autor con todos los derechos reservados, a menos que se indique lo contrario.