Cordero Barbero, Alicia; Soto-Quiros, Pablo; Torregrosa Sánchez, Juan Ramón(Elsevier, 2021-11-15)
[EN] A family of iterative schemes for approximating the inverse and generalized inverse of a complex matrix is designed, having arbitrary order of convergence p. For each p, a class of iterative schemes appears, for which ...
Hernández, M. V.; Lattanzi, M. B.; Thome, Néstor(Springer-Verlag, 2021-07)
[EN] This paper deals with new generalized inverses of rectangular complex matrices, namely 1MP and MP1-inverses. They are constructed from oblique projectors represented by means of inner generalized inverses, by using ...
Cordero Barbero, Alicia; Segura, Elaine; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(Elsevier, 2024-09)
[EN] In this paper, we construct a parametric family of iterative methods to compute the inverse of a nonsingular matrix. This class is free of inverse operators. We prove the third -order of convergence under some conditions ...
Solís Zúñiga, Armando Gabriel(Universitat Politècnica de València, 2022-10-18)
[ES] Existen numerosas ecuaciones matriciales no lineales cuya solución no se puede encontrar analíticamente o resulta computacionalmente poco eficiente su obtención mediante métodos directos. Por ello, se trasladará al ...
[EN] In this paper, the minus matrix partial order is considered to introduce the concept of minus partial ordered control systems. The transmission of the reachability property under this binary relation is investigated. ...
Ferreyra, David Eduardo; Latanzi, Marina; Levis, Fabian; Thome, Néstor(University of Wyoming Libraries, 2019-11)
[EN] Let A and E be n x n given complex matrices. This paper provides a necessary and sufficient condition for the solvability to the matrix equation system given by AXA = AEA and A(k) EAX = XAEA(k) , for k being the index ...
Argyros, Ioannis K.; Cordero Barbero, Alicia; Alberto Magreñán, A.; Torregrosa Sánchez, Juan Ramón(Elsevier, 2017)
[EN] Traub's method is a tough competitor of Newton's scheme for solving nonlinear equations as well as nonlinear systems. Due to its third-order convergence and its low computational cost, it is a good procedure to be ...
The generalized singular value decomposition (GSVD) and the lifting technique combined with the Kronecker product are exploited to find reflexive and anti-reflexive (with respect to a generalized k+1-reflection matrix P) ...