查看更多>>摘要：Expressions which include the Moore-Penrose (MP) inverse with various generalized inverses have been popular topic in numerical linear algebra. The most general case was the combination of the MP inverse with outer inverses A(R(B),N(C))((2)) , knownas thecomposite outer inverses. Starting from well-known and useful Urquhart representation of generalized inverses, in this research we consider Phi(1)-composite outer inverses which are based on the replacements of A(R(B),N(C))((2)) bythemoregeneralexpressions Phi(1) := B(CAB)C-(1). Algorithms for symbolic and numeric computation of Phi(1)-composite outer inverses are proposed and corresponding examples are developed. In addition, Phi(2)-composite outer inverses arising from the replacements of the term A(R(B),N(C))((2)) incomposite outer inverses by the expressions Phi(2) := B(CAB)C-(2) epsilon A{2}, are investigated. (C) 2022 Elsevier Inc. All rights reserved.
查看更多>>摘要：In this work, we will investigate a complete integrable variable coefficient three-coupled Hirota system, which possesses a generalization of fourth-order matrix spectral problem AKNS type Lax pair. With the help of the unified transform method, the initial-boundary value problems (IBVPs) of the three-coupled Hirota equation on the half-line will be discussed. In other words, one can obtain the solutions of the three-coupled Hirota equation by solving a fourth-order matrix Riemann-Hilbert problem in the complex xi-plane. Furthermore, we will show that three spectral functions phi (xi ), phi(xi) and psi (xi) are not independent but meet a key relationship, i.e. the so-called global relation. (C)& nbsp;2022 Elsevier Inc. All rights reserved.
Bachstein, AnnaGoddard, WayneHenning, Michael A.Xue, John...
8页
查看更多>>摘要：We define a P-compelling coloring as a proper coloring of the vertices of a graph such that every subset consisting of one vertex of each color has property P. The P-compelling chromatic number is the minimum number of colors in such a coloring. We show that this notion generalizes the dominator and total dominator chromatic numbers, and provide some general bounds and algorithmic results. We also investigate the specific cases where P is that the subset contains at least one edge or that the subset is connected. (C) 2022 Elsevier Inc. All rights reserved.
查看更多>>摘要：This paper focuses on the problem of mean square consensus for stochastic multi-agent systems. A new asynchronous edge-based dynamic event-triggered control protocol based on directed edges is designed. Using this event-triggered control protocol can reduce the frequency of event-triggered, save communication resources and avoid Zeno behavior. Since events on different edges occur independently of each other, there is no need for clock synchronization among neighbors. Besides, we relax the constraints on the communication topology of multi-agent systems by limiting it only to a weight-balanced digraph containing a directed spanning tree. In addition, the stochastic multi-agent systems can reach mean square consensus exponentially. Finally, this paper illustrates the effectiveness of the proposed asynchronous edge-based dynamic event-triggered control protocol by a simulation example.(c) 2022 Elsevier Inc. All rights reserved.
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Elsevier