Results 21 to 30 of about 5,602,584 (374)
Mathematical Modelling and Control, 2023 In this paper, semi-tensor product of real matrices is extended to reduced biquaternion matrices, and then some new conclusions of the reduced biquaternion matrices under the vector operator are proposed using semi-tensor product of reduced biquaternion ...
Jianhua Sun +4 more
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AIMS Mathematics, 2022 In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding +3 more
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H-representation method for solving reduced biquaternion matrix equation
Mathematical Modelling and Control, 2022 In this paper, we study the Hankel and Toeplitz solutions of reduced biquaternion matrix equation (1.1). Using semi-tensor product of matrices, the reduced biquaternion matrix equation (1.1) can be transformed into a general matrix equation of the form ...
Xueling Fan +3 more
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AIMS Mathematics, 2022 In this paper, we propose an efficient method for some special solutions of the quaternion matrix equation AXB+CYD=E. By integrating real representation of a quaternion matrix with H-representation, we investigate the minimal norm least squares solution ...
Anli Wei +3 more
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Perfect hypercomplex algebras: Semi-tensor product approach
Mathematical Modelling and Control, 2021 The set of associative and commutative hypercomplex numbers, called the perfect hypercomplex algebras (PHAs) is investigated. Necessary and sufficient conditions for an algebra to be a PHA via semi-tensor product (STP) of matrices are reviewed.
Daizhan Cheng +4 more
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Resolution of Fuzzy Relational Inequalities with Boolean Semi-Tensor Product Composition
Mathematics, 2021 Resolution of fuzzy relational inequalities (FRIs) plays a significant role in decision-making, image compression and fuzzy control. This paper studies the resolution of a kind of FRIs with Boolean semi-tensor product composition.
Shuling Wang, Haitao Li
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Border Rank Is Not Multiplicative under the Tensor Product [PDF]
SIAM Journal on applied algebra and geometry, 2018 It has recently been shown that the tensor rank can be strictly submultiplicative under the tensor product, where the tensor product of two tensors is a tensor whose order is the sum of the orders ...
M. Christandl +2 more
semanticscholar +1 more source
Trajectory tracking approach to logical (control) networks
AIMS Mathematics, 2022 Vector form expression of logical (control) networks is presented. From this aspect, the trajectory table is proposed to investigate Boolean networks. Based on it, the topology structure, controllability and observability of logical (control) networks ...
Xiaoyu Zhao, Shihua Fu
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Tensor products of strongly graded vertex algebras and their modules [PDF]
, 2013 We study strongly graded vertex algebras and their strongly graded modules, which are conformal vertex algebras and their modules with a second, compatible grading by an abelian group satisfying certain grading restriction conditions.
Borcherds +17 more
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Acceleration of tensor-product operations for high-order finite element methods [PDF]
The international journal of high performance computing applications, 2017 This article is devoted to graphics processing unit (GPU) kernel optimization and performance analysis of three tensor-product operations arising in finite element methods.
K. Swirydowicz +3 more
semanticscholar +1 more source