Results 1 to 10 of about 229,098 (237)
Non-rigid registration of medical images based on S 2 1 Δ mn 2 $$ {S}_2^1\left({\Delta}_{mn}^{(2)}\right) $$ non-tensor product B-spline [PDF]
Visual Computing for Industry, Biomedicine, and Art, 2022 In this study, a non-tensor product B-spline algorithm is applied to the search space of the registration process, and a new method of image non-rigid registration is proposed.
Qi Zheng, Chaoyue Liu, Jincai Chang
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Tensor rank is not multiplicative under the tensor product [PDF]
Linear Algebra Appl. 543 (2018) 125-139, 2017 The tensor rank of a tensor t is the smallest number r such that t can be decomposed as a sum of r simple tensors. Let s be a k-tensor and let t be an l-tensor. The tensor product of s and t is a (k + l)-tensor. Tensor rank is sub-multiplicative under the tensor product. We revisit the connection between restrictions and degenerations.
Christandl, Matthias +2 more
arxiv +6 more sources
Tensor Product Bases and Tensor Diagonals [PDF]
Transactions of the American Mathematical Society, 1970 Let X and Y denote Banach spaces with bases (xi) and (yj), respectively, and let X 0@ Y and X 0., Y denote the completion in the e and 7r crossnorms of the algebraic tensor product X 0 Y. The purpose of this paper is to study the structure of the tensor product spaces X 0 Y and X 0,, Y through a consideration of the properties of the tensor product ...
J. R. Holub
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On tensor products of operators [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1969 Takayuki Furuta, Ritsuo Nakamoto
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AIMS Mathematics, 2023 In this paper, we investigate the mixed solution of reduced biquaternion matrix equation $ \sum\limits_{i = 1}^nA_iX_iB_i = E $ with sub-matrix constraints.
Yimeng Xi +4 more
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Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set
Mathematics, 2021 The traditional set stability of Boolean networks (BNs) refers to whether all the states can converge to a given state subset. Different from the existing results, the set stability investigated in this paper is whether all states in a given initial set ...
Wen Liu, Shihua Fu, Jianli Zhao
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Introduction of Frame in Tensor Product of $n$-Hilbert Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 We study the concept of frame in tensor product of $n$-Hilbert spaces as tensor product of $n$-Hilbert spaces is again an $n$-Hilbert space. We generalize some of the known results about bases to frames in this new Hilbert space.
Prasenjit Ghosh, Tapas Samanta
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Robust Output Tracking of Boolean Control Networks over Finite Time
Mathematics, 2022 With an increase in tracking time, the operating cost of the controller will increase accordingly. Considering the biological applications of Boolean control networks (BCNs), it is necessary to study the control problem of BCNs over finite time.
Yuan Zhao +3 more
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Tensor Product of Neutrosophic sub modules of an R-module [PDF]
Neutrosophic Sets and Systems, 2022 In this paper, we develop a framework for tensor product with imprecise and indeterminate bounds as a neutrosophic submodule of an R-modules. The fundamental goal of this study is to extend the conventional tensor product in contemporary algebra to the ...
Binu R, Ursala Paul
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Constrainted least squares solution of Sylvester equation
Mathematical Modelling and Control, 2021 In this paper, we study several constrainted least squares solutions of quaternion Sylvester matrix equation. We first propose a real vector representation of quaternion matrix and study its properties.
Wenxv Ding, Ying Li, Dong Wang, AnLi Wei
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