Results 21 to 30 of about 635 (110)
A Generalised CRI Iteration Method for Complex Symmetric Linear Systems
East Asian Journal on Applied Mathematics, 2019 A generalisation of the combination method of real and imaginary parts for complex symmetric linear systems based on the introduction of an additional parameter is proposed. Sufficient conditions for the convergence of the method are derived.
Yunying Huang, Guoliang Chen
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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 +6 more
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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.
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On the spectrum of the Sylvester-Rosenblum operator acting on triangular algebras
, 2020 Let A and B be algebras and M be an A -B -bimodule. For A ∈ A , B ∈ B , we define the Sylvester-Rosenblum operator τA,B : M → M via τA,B(M) = AM+MB for all M ∈ M .
L. Marcoux, A. Sourour
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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
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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
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, 2020 One of the typical forms of linear matrix expressions (linear matrix-valued functions) is given by A + B1X1C1 + · · · + BkXkCk, where X1, . . . , Xk are independent variable matrices of appropriate sizes, which include almost all matrices with unknown ...
Yongge Tian
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Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure [PDF]
, 2015 A procedure to recover explicitly self-adjoint matrix Dirac systems on semi-axis (with both discrete and continuous components of spectrum) from rational Weyl functions is considered. Its stability is proved.
A. Sakhnovich
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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
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The iterative methods for solving nonlinear matrix equation X+A⋆X−1A+B⋆X−1B=Q
, 2013 In this paper, we study the matrix equation X+A⋆X−1A+B⋆X−1B=Q, where A and B are square matrices, and Q is a positive definite matrix, and propose the iterative methods for finding positive definite solutions of the matrix equation.
S. Vaezzadeh +3 more
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