Results 21 to 30 of about 83 (82)

The 𝔪-WG° inverse in the Minkowski space

Open Mathematics, 2023
In this article, we study the m{\mathfrak{m}}-WG∘{}^{\circ } inverse which presents a generalization of the m{\mathfrak{m}}-WG inverse in the Minkowski space. We first show the existence and the uniqueness of the generalized inverse.
Liu Xiaoji, Zhang Kaiyue, Jin Hongwei
doaj   +1 more source

Commuting decomposition of Kn1,n2,...,nk through realization of the product A(G)A(GPk )

Special Matrices, 2018
In this paper, we introduce the notion of perfect matching property for a k-partition of vertex set of given graph. We consider nontrivial graphs G and GPk , the k-complement of graph G with respect to a kpartition of V(G), to prove that A(G)A(GPk ) is ...
Bhat K. Arathi, Sudhakara G.
doaj   +1 more source

Soluciones explícitas de ecuaciones diferenciales matriciales con coeficientes variables [PDF]

, 2009
La resolución de sistemas de ecuaciones diferenciales de orden superior suele apoyarse en la consideración de un sistema ampliado de primer orden. Este enfoque clásico presenta dos inconvenientes.
Company Rossi, Rafael
core   +1 more source

Weak group inverse

Open Mathematics, 2018
In this paper, we introduce the weak group inverse (called as the WG inverse in the present paper) for square complex matrices of an arbitrary index, and give some of its characterizations and properties.
Wang Hongxing, Chen Jianlong
doaj   +1 more source

In vitro antimicrobial activity of a gel containing antimicrobial peptide AMP2041, chlorhexidine digluconate and Tris‐EDTA on clinical isolates of Pseudomonas aeruginosa from canine otitis

Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016
Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo, Davide Santospirito, Andrea Sala, Sara Flisi, Simone Taddei, Sandro Cavirani, Clotilde Silvia Cabassi   +6 more
wiley   +1 more source

The Matrix Equation XA −  AX = Xαg(X) over Fields or Rings

Algebra, Volume 2014, Issue 1, 2014., 2014
Let n,α∈N≥2 and let K be an algebraically closed field with characteristic 0 or greater than n. We show that if f ∈ K[X] and A, B ∈ Mn(K) satisfy [A, B] = f(A), then A, B are simultaneously triangularizable. Let R be a reduced ring such that n! is not a zero divisor and let A be a generic matrix over R; we show that X = 0 is the sole solution of AX ...
Gerald Bourgeois, Zhongshan Li
wiley   +1 more source

Hypersymmetric functions and Pochhammers of 2 × 2 nonautonomous matrices

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 59, Page 3151-3170, 2004., 2004
We introduce the hypersymmetric functions of 2 × 2 nonautonomous matrices and show that they are related, by simple expressions, to the Pochhammers (factorial polynomials) of these matrices. The hypersymmetric functions are generalizations of the associated elementary symmetric functions, and for a specific class of 2 × 2 matrices, having a high degree
A. F. Antippa
wiley   +1 more source

Maximizing the determinant for a special class of block‐partitioned matrices

Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 49-61, 2004., 2004
An analytical solution is found for the maximum determinant of a block‐partitioned class of matrices with constant trace for each block. As an immediate application of this result, the maximum determinant of a sum of Kronecker products is derived.
Otilia Popescu, Christopher Rose, Dimitrie C. Popescu   +2 more
wiley   +1 more source

Direct methods for matrix Sylvester and Lyapunov equations

Journal of Applied Mathematics, Volume 2003, Issue 6, Page 277-303, 2003., 2003
We revisit the two standard dense methods for matrix Sylvester and Lyapunov equations: the Bartels‐Stewart method for A1X + XA2 + D = 0 and Hammarling′s method for AX + XAT + BBT = 0 with A stable. We construct three schemes for solving the unitarily reduced quasitriangular systems. We also construct a new rank‐1 updating scheme in Hammarling′s method.
Danny C. Sorensen, Yunkai Zhou
wiley   +1 more source

The Cayley transform of Banach algebras

International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 427-428, 2002., 2002
The main result of Haynes (1991) is that a square matrix is convergent (limn→∞Dn = 0) if and only if it is the Cayley transform CA = (I−A)−1(I + A) of a stable matrix A. In this note, we show, with a simple proof, that the above is true in a much more general setting of complex Banach algebras.
Zhidong Pan
wiley   +1 more source