RT info:eu-repo/semantics/article
T1 Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries
A1 Sendra Pons, Juan Rafael
A1 Sendra Pons, Juana
K1 Generalized inverses
K1 Moore-Penrose fields
K1 Meromorphic functions
K1 Matrices of functions
K1 Matemáticas
K1 Mathematics
AB In this paper, given a field with an involutory automorphism, we introduce the notion of Moore-Penrose field by requiring that all matrices over the field have Moore-Penrose inverse. We prove that only characteristic zero fields can be Moore-Penrose, and that the field of rational functions over a Moore-Penrose field is also Moore-Penrose. In addition, for a matrix with rational functions entries with coefficients in a field K, we find sufficient conditions for the elements in K to ensure that the specialization of the Moore-Penrose inverse is the Moore-Penrose inverse of the specialization of the matrix. As a consequence, we provide a symbolic algorithm that, given a matrix whose entries are rational expression over C of finitely many meromeorphic functions being invariant by the involutory automorphism, computes its Moore-Penrose inverve by replacing the functions by new variables, and hence reducing the problem to the case of matrices with complex rational function entries.
PB Elsevier
SN 0096-3003
YR 2017
FD 2017-11-15
LK http://hdl.handle.net/10017/45128
UL http://hdl.handle.net/10017/45128
LA eng
NO J.R. Sendra is member of the Research Group ASYNACS (Ref.CT-CE2019/683)
NO Ministerio de Economía y Competitividad
DS MINDS@UW
RD 19-abr-2024