Let T=c1T1+c2T2+c3T3- c4(T1T2+T3T1+T2T3), where T1, T2, T3 are three n x n tripotent matrices and c1, c2, c3, c4 are complex numbers with c1, c2, c3 nonzero. In this article, necessary and sufficient conditions for the ...
Let T(1) and T(2) be two n x n tripotent matrices and c(1), c(2) two nonzero complex numbers. We mainly study the nonsingularity of combinations T = c(1)T(1) + c(2)T(2) - c(3)T(1)T(2) of two tripotent matrices T(1) and ...
[EN] In this article, one-sided $(b, c)$-inverses of arbitrary matrices as well as one-sided inverses along a (not necessarily square) matrix, will be studied. In addition, the $(b, c)$-inverse and the inverse along an ...
[EN] The continuity of the core inverse and the dual core inverse is studied in the setting of -algebras. Later, this study is specialized to the case of bounded Hilbert space operators and to complex matrices. In addition, ...
[EN] Let {Am}
¿
m=1
be a sequence of complex group invertible matrices that converges to
A. We characterize when A is group invertible and {A
#
m}
¿
m=1
converges to A
#
in terms of the
canonical angles between ...
Benítez López, Julio; Cvetkovic-Ilic, D.; Liu, X.(Duke University Press, 2014)
[EN] Let {a_n} be a sequence of group invertible elements of a unital C* algebra A that converges to a. We present some equivalent conditions for the group invertibility of a and for the convergence of {a^#_n} to a#.
We study various functions, principal ideals and annihilators depending on the projections aa(dagger) and a(dagger)a for a Moore-Penrose invertible ring element, extending recent work of O.M. Baksalary and G. Trenkler for ...
[EN] We give the representations of (a + b)(d), (a + ab)(d) and (a + ba)(d) in terms of a, b, a(d) and b(d) being elements of a Banach algebra with a(3)b = ba and b(3)a = ab. We also give the representations of (a + b)(d) ...
Liu, Xiaoji; Wu, Lingling; Benítez López, Julio(ILAS–the International Linear Algebra Society, 2011-05)
[EN] In this paper, some formulas are found for the group inverse of aP | bQ, where P and Q are two nonzero group invertible complex matrices satisfying certain conditions and a, b nonzero complex numbers.
[EN] Let A and B be two generalized quadratic matrices with respect to idempotent matrices P and
Q, respectively, such that (A − αP)(A − βP) = 0, AP = PA = A, (B − γ Q)(B − δQ) = 0, BQ =
QB = B, PQ = QP, AB = BA, and (A ...
Benítez López, Julio(Universitat Politècnica de València, 2009-06-19)
El usuario introduce las excentricidades de la órbitas, los semiejes mayores y el tiempo (la unidad temporal es el año del planeta interior). Se supone que el sol y los perihelios están alineados. Muestra las órbitas y la ...
Xu, S. Z.; Chen, J. L.; Benítez López, Julio(Springer, 2021-01)
[EN] A new decomposition for square matrices is constructed by using two known matrix decompositions. A new characterization of the core-EP order is obtained by using this new matrix decomposition. We also use this matrix ...
Carpitella, S.; Carpitella, F.; Benítez López, Julio; Certa, A.; Izquierdo Sebastián, Joaquín(International Center for Numerical Methods in Engineering (CIMNE), 2017-07-05)
[EN] Industrial water distribution systems are paramount in many manufacturing
systems to optimise the related industrial plant availability and consequently the level of
production. They also play an important part in ...
[EN] Let R be a unital ring with involution. In Section 2, for given two core invertible elements a, b. R, we investigate mainly the absorption law for the core inverse in virtue of the equality of the projections aa and ...
Ilaya Ayza, Amilkar Ernesto(Universitat Politècnica de València, 2016-07-21)
[EN] Increasing water demand due to population growth, reduction of available water resources due to pollution and climate change effects, which, in turn, increase the severity of external events, and poor management of ...
[EN] In 2012, Drazin introduced a class of outer generalized inverse in a ring R, the (b, c)-inverse of a for a,b,c is an element of R and denoted by a(parallel to(b,c)). In this paper, rank equalities of A(k)A(parallel ...
[EN] Let A be an complex matrix. The (B,C)-inverse A vertical bar(B,C) of A was introduced by Drazin in 2012. For given matrices A and B, several rank equalities related to A vertical bar(B1,C1) and B vertical bar(B2,C2) ...