Qn-tensor and tensor complementarity problem

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August undefined, 2024

WebSep 2, 2024 · Abstract In this paper, we study the global uniqueness and solvability (GUS-property) of tensor complementarity problems (TCPs) for some special structured …

PROPERTIES OF TENSOR COMPLEMENTARITY PROBLEM AND …

WebOct 15, 2024 · Tensor complementarity problem Hypergraph 1. Introduction The P-matrix, first introduced by Fiedler and Pták [1], is an important type of a special matrix. It is a square matrix all of whose determinants of its principal submatrices are positive. WebQ-tensor if and only if its all diagonal elements are positive and a nonnegative symmetric tensor is a Q-tensor if and only if it is strictly copositive. It will be proved that 0 is the … leatherwood farms bluefield va

Existence of the least element solution of the vertical block Z …

WebFeb 28, 2024 · The basic problem is to solve the time-varying (TV) tensor complementarity problem for 3rd-order tensor under the t-product. A TV tensor complementarity problem … WebAug 22, 2024 · When the involving tensor in the tensor complementarity problem is a positive linear combination of rank-one symmetric tensors, we show that the solution set of the tensor complementarity problem is convex if the underlying tensor is positive semidefinite, and the tensor complementarity problem has the globally uniqueness … WebSep 2, 2024 · This paper proposes a linearized method for solving the tensor complementarity problem, and shows that if the initial point is appropriately chosen, then the generated sequence of iterates converges to a solution of the problem monotonically. 11 Linearized Methods for Tensor Complementarity Problems Hong-Bo Guan, Donghui Li how to draw a semi circle in word

Properties of Tensor Complementarity Problem and …

WebAdvancing research. Creating connections. WebExample 5.3. Bubble-shaped crack. Here, we make use of the benchmark problem presented by [59], who modeled a cuboid subjected to an abrupt change in its top BCs. Fig. 21 defines the geometry of the 3D problem, with a = b = 2 c = 2.Surface E was loaded by linearly increasing vertical displacements, while surface A is fixed and surfaces B-C-D are under … how to draw a set squareWebThis paper deals with the class of Q-tensors, that is, a Q-tensor is a real tensor A such that the tensor complementarity problem (q,A): ﬁnding x ∈ Rn such that x ≥ 0,q +Axm−1 ≥ 0, … how to draw as fast as possible

"WebFeb 11, 2024 · The recently introduced polynomial complementarity problem (PCP) is an interesting generalization of the tensor complementarity problem (TCP) studied … " - Qn-tensor and tensor complementarity problem

Qn-tensor and tensor complementarity problem

The sparsest solutions to Z-tensor complementarity problems

WebOct 27, 2015 · It is shown that the solution set of tensor complementarity problems has the strictly lower bound and the upper bounds of spectral radius are obtained, which depends only on the principal diagonal entries of tensors. Expand 19 PDF Save Alert Properties of S-tensors Qi Guo, Meng-Meng Zheng, Zhenghai Huang Computer Science 2024 TLDR WebSep 11, 2014 · This paper aims to provide an introduction to a basic form of the ${\\bf Q}$-tensor approach to modelling liquid crystals, which has seen increased interest in recent …

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WebThen K (H ) = B (H ) if, and only if, H is finite dimensional. We shall need some basic facts on tensor products of operator algebras. For a particularly elegant account, from first principles, of tensor products of C∗ -algebras see Wegge-Olsen [27] and, for a more advanced treatment, see Kadison and Ringrose [28]. Webtensor complementarity problem (q,A) has a unique solution for q > 0 (q ≥ 0), and a symmetric real tensor is a (strictly) semi-positive tensor if and only if it is (strictly) …

WebOct 1, 2024 · The tensor complementarity problem is a specially structured nonlinear complementarity problem, and so, it has its particular and nice properties other than ones of the classical nonlinear ... WebDec 18, 2015 · It is well-known that nonsingular H-matrices play a vital role in many fields of numerical linear algebra, such as the convergence of the classical iterative method, for example, the Jacobi, Gauss ...

WebApr 15, 2024 · Lett. 15: 2701-2718, 2024) from the tensor complementarity problem (TCP) to PCP. A comparison between the results in this paper and the corresponding result due to Ling, He and Ling (Optimization. 67: 341-358, 2024) is made. ... Li, G., Li, J.C.: QN-tensor and tensor complementarity problem. Optim. Lett 16(9), 2729–2751 (2024) Article ... Web[7] gave the deﬁnition of a positive deﬁnite tensor and derived a method to check whether a symmetric tensor is positive deﬁnite or not. The concept of copositive matrices [12] is an important concept in applied mathematics, with applications in control theory, optimization modeling, linear complementarity problems, graph the-

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WebProblems Ziyan Luo · Liqun Qi · Naihua Xiu Received: date / Accepted: date Abstract Finding the sparsest solutions to a tensor complementarity prob-lem is generally NP-hard due to the nonconvexity and noncontinuity of the involved ℓ0 norm. In this paper, a special type of tensor complementarity prob-lems with Z-tensorshas been considered. how to draw a shaded appleWebFor each q ∈ Rn, the tensor complementarity problem is to ﬁnd x ∈ Rn such that x ≥ 0,Axm−1 +q ≥ 0,xT(Axm−1 +q) = 0, (1.1) or to show no such x exists. We abbreviate the … how to draw ashWebThe above (TCP) is the so-called tensor complementarity problem which has been studied in [7,34,35]. In this paper, we will focus on ﬁnding the sparsest solutions to a tensor complementarity problem which can be modeled as (P0) min x 0 s.t. Axm−1 −b ≥ 0,x ≥ 0, x,Axm−1 −b= 0. Mathematically,problem(P0)isgenerallyNP ... how to draw a seawing from wings of fire