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On the mixed solution of reduced biquaternion matrix equation $ \sum\limits_{i = 1}^nA_iX_iB_i = E $ with sub-matrix constraints and its application

open access: yesAIMS 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
doaj   +1 more source

Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set

open access: yesMathematics, 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
doaj   +1 more source

“That Day Does Not Belong to Our Generation”: Komatsu Sakyō’s Affective Futurities

open access: yesLiterature, 2023
Commentary that observes the frequency of the appearances of images of disaster pervades much of the discourse surrounding postwar Japanese popular culture, and especially Japanese science fiction.
Baryon Tensor Posadas
doaj   +1 more source

Tensor Regression

open access: yesFoundations and Trends® in Machine Learning, 2021
187 pages, 32 figures, 10 ...
Liu, Jiani   +3 more
openaire   +2 more sources

Robust Output Tracking of Boolean Control Networks over Finite Time

open access: yesMathematics, 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
doaj   +1 more source

Constrainted least squares solution of Sylvester equation

open access: yesMathematical 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
doaj   +1 more source

On numerical/non-numerical algebra: Semi-tensor product method

open access: yesMathematical Modelling and Control, 2021
A kind of algebra, called numerical algebra, is proposed and investigated. As its opponent, non-numerical algebra is also defined. The numeralization and dis-numeralization, which convert non-numerical algebra to numerical algebra and vise versa, are ...
Daizhan Cheng   +3 more
doaj   +1 more source

The least squares Bisymmetric solution of quaternion matrix equation AXB=C

open access: yesAIMS Mathematics, 2021
In this paper, the idea of partitioning is used to solve quaternion least squares problem, we divide the quaternion Bisymmetric matrix into four blocks and study the relationship between the block matrices. Applying this relation, the real representation
Dong Wang, Ying Li, Wenxv Ding
doaj   +1 more source

Tensor topology [PDF]

open access: yesJournal of Pure and Applied Algebra, 2020
44 ...
Heunen, Christiaan   +2 more
openaire   +3 more sources

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

open access: yesMathematical 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
doaj   +1 more source

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