Results 11 to 20 of about 393,817 (333)
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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Tensor Products and Bimorphisms [PDF]
Canadian Mathematical Bulletin, 1976 The binary tensor product, for modules over a commutative ring, has two different aspects: its connection with universal bilinear maps and its adjointness to the internal hom-functor. Furthermore, in the special situation of finite-dimensional vector spaces, the tensor product can also be described in terms of dual spaces and the internal hom-functor ...
Banaschewski, Bernhard, Nelson, Evelyn
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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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Concerning the semistability of tensor products in Arakelov geometry [PDF]
, 2012 We study the semistability of the tensor product of hermitian vector bundles by using the $\varepsilon$-tensor product and the geometric (semi)stability of vector subspaces in the tensor product of two vector ...
Bost, Jean-Benoît, Chen, Huayi
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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 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 ...
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