Results 11 to 20 of about 383,776 (328)

On tensor products of operators [PDF]

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1969
Takayuki Furuta, Ritsuo Nakamoto
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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 ...
J. R. Holub
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A new method based on semi-tensor product of matrices for solving reduced biquaternion matrix equation $ \sum\limits_{p = 1}^l A_pXB_p = C $ and its application in color image restoration

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, Ying Li, Mingcui Zhang, Zhihong Liu , Anli Wei   +4 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, Ying Li, Wenxv Ding, Jianli Zhao   +3 more
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Three special kinds of least squares solutions for the quaternion generalized Sylvester matrix equation

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, Ying Li, Wenxv Ding, Jianli Zhao   +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, Zhengping Ji , Jun-e Feng, Shihua Fu, Jianli Zhao   +4 more
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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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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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Stabilizing tensor products [PDF]

Proceedings of the American Mathematical Society, 1975
Let C C be a symmetric monoidal category with a suspension, and let SC be the resulting stable category. We shall give necessary and sufficient conditions for extending the symmetric monoidal structure to a monoidal structure on SC. These imply that the usual smash product on finite pointed CW complexes cannot be extended to a smash ...
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