2024 Qn-tensor and tensor complementarity problem

Qn-tensor and tensor complementarity problem

Author: lzjj

August undefined, 2024

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- 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.

Strictly semi-positive tensors and the boundedness of tensor ...

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 WebFeb 11, 2024 · The recently introduced polynomial complementarity problem (PCP) is an interesting generalization of the tensor complementarity problem (TCP) studied … harnessing atmospheric electricity

P-tensors, P0-tensors, and their applications - ScienceDirect

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 ... 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 ... 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 … harnessing energy from ocean waves

PROPERTIES OF TENSOR COMPLEMENTARITY PROBLEM AND …

Tensor complementarity problems: the GUS-property and an …

WebSep 6, 2024 · Tensor complementarity problems global uniqueness and solvability the modulus equation tensor strong (strictly) semi-positive tensor AMS Subject … WebThe 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 ... chapter 3 quizlet of mice and menWe introduce three classes of nonsingular \({\mathcal {H}}\)-tensor: QN-tensor, S-QN tensor and generalized S-QN tensor, which are extensions of QN-matrix and S-QN matrix. Besides, based on structured tensors, tensor complementarity problem has been well studied. See more Let A=[a_{ij}]\in \mathbb {R}^{n\times n}, then A is a QN-matrix if and only if, for all i\in [n], where g_i(A) is defined in (3.3). See more Let {{\mathcal {A}}}=(a_{i_1i_2\cdot \cdot \cdot i_m})\in T_{m,n}, {{\mathcal {A}}} is called a QN-tensor if, See more The definition of QN-tensor is given as follows. For {{\mathcal {A}}}=(a_{i_1i_2\cdot \cdot \cdot i_m})\in T_{m,n}, denote where \varLambda _i({{\mathcal {A}}}) is … See more From (2.4) and (3.4), if {\mathcal {A}} is a Nekrasov tensor, then a_{i\cdots i} >\varLambda _i({{\mathcal {A}}}) for all i\in [n]. Obviously, … See more harnessing digital technologies

"WebFeb 11, 2024 · Article on QN-tensor and tensor complementarity problem, published in Optimization Letters on 2024-02-11 by Ge Li+1. Read the article QN-tensor and tensor … " - Qn-tensor and tensor complementarity problem

Qn-tensor and tensor complementarity problem

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) … WebTensor complementarity problem (TCP) is a special kind of nonlinear complementarity problem (NCP). In this paper, we introduce a new class of structure tensor and give some examples. By transforming the TCP to the system of nonsmooth equations, we develop a semismooth Newton method for the tensor complementarity problem.

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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 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].

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 … 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 …

WebAdvancing research. Creating connections. WebApr 2, 2014 · The phase images of all orientations were used to compute susceptibility tensor (details in next section). In addition, the phase image at each orientation was unwrapped and filtered. The filtered phase was then used to solve an inverse problem to calculate a scalar susceptibility image 20, also known as AMS.

WebOct 18, 2024 · An approach using tensor based computations with dimension data arrays that are to be developed and processed is introduced. Section 3 will discuss memory considerations for tensor analysis operations, and Section 4 will introduce the use of the FPGA in implementing hardware and hardware/software co-design realizations of tensor … harnessing energy from earthquakesWebQ-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 … harnessing human energy quizzesWebAug 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 … harnessing headwinds of changeWebIn this paper, a novel tensor method based on enhanced tensor nuclear norm and hypergraph Laplacian regularization (ETHLR) is developed to address the above problem. ETHLR can jointly learn the prior knowledge of singular values and high-order manifold structures in the unified tensor space and the view-specific feature spaces, respectively. harnessing a team of horsesWebFeb 17, 2024 · Abstract The aim of this paper is to prove the existence of the least element solution to the vertical tensor complementarity problem when the involved tensor is a … chapter 3 reading rhetoricallyWebEntdecke Tensor Eigenvalues and Their Applications by Liqun Qi (English) Paperback Book in großer Auswahl Vergleichen Angebote und Preise Online kaufen bei eBay Kostenlose Lieferung für viele Artikel! harnessing low speed wind energyWebany q ∈ Rn, we consider the tensor complementarity problem TCP(A,q): Find x ∈ Rn such that x ≥ 0, F(x) +q ≥ 0 and hx,F(x) +qi = 0, where x ≥ 0 means that each component of x is nonnegative, etc. This is a generalization of the linear complementarity problem (corresponding to m = 2), a special instance of a nonlinear harnessing human energy study guide