Numerical subspace algorithms for solving the tensor equations involving Einstein product

In this paper, subspace identification methods are proposed to estimate the linear tire cornering stiffness, which are only based on the road tests data without any prior knowledge. This kind of data-driven method has strong robustness. In order to validate the feasibility and effectiveness of the algorithms, a series of standard road tests are carried out. Comparing with different subspace algorithms used in road tests, it can be concluded that the front tire cornering stiffness can be estimated accurately by the N4SID and CCA methods when the double lane change test data are taken into analysis.

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An optimal preconditioner for tensor equations involving Einstein product

Linear and Multilinear Algebra ◽

10.1080/03081087.2018.1520799 ◽

2018 ◽

Vol 68 (5) ◽

pp. 886-902 ◽

Cited By ~ 3

Author(s):

Ze-Jia Xie ◽

Xiao-Qing Jin ◽

Vai-Kuong Sin

Keyword(s):

Einstein Product

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Conventional and Subspace Algorithms for Mobile Source Detection and Radiation Formation

Traitement du signal ◽

10.18280/ts.380114 ◽

2021 ◽

Vol 38 (1) ◽

pp. 135-145

Author(s):

Sadiya Thazeen ◽

S Mallikarjunaswamy ◽

G K Siddesh ◽

N Sharmila

Keyword(s):

Source Detection ◽

Mobile Source ◽

Subspace Algorithms

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A simultaneous decomposition for three quaternion tensors with applications in color video signal processing

Analysis and Applications ◽

10.1142/s0219530520400084 ◽

2020 ◽

pp. 1-35

Author(s):

Zhuo-Heng He ◽

Chen Chen ◽

Xiang-Xiang Wang

Keyword(s):

Signal Processing ◽

Video Signal ◽

New Approach ◽

Video Signal Processing ◽

Encryption And Decryption ◽

Color Video ◽

The Given ◽

Einstein Product

In this paper, we establish a simultaneous decomposition for three quaternion tensors via Einstein product. This simultaneous decomposition transforms the given three quaternion tensors into nice forms which have only 1 and 0. We conclude with an application in the color video signal processing. This new approach only need to store four keys to realize the simultaneous encryption and decryption of three videos.

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An Extended EDAS Method with a Single-Valued Complex Neutrosophic Set and Its Application in Green Supplier Selection

Mathematics ◽

10.3390/math8020282 ◽

2020 ◽

Vol 8 (2) ◽

pp. 282

Author(s):

Dongsheng Xu ◽

Xiangxiang Cui ◽

Huaxiang Xian

Keyword(s):

Supplier Selection ◽

Neutrosophic Set ◽

Comparison Analysis ◽

New Model ◽

Green Supplier Selection ◽

Numerical Example ◽

Operational Laws ◽

Definition Of ◽

Einstein Product

The single-valued complex neutrosophic set is a useful tool for handling the data with uncertainty and periodicity. In this paper, a single-valued complex neutrosophic EDAS (evaluation based on distance from average slution) model has been established and applied in green supplier selection. Firstly, the definition of single-valued complex neutrosophic set and corresponding operational laws are briefly introduced. Next, to fuse overall single-valued complex neutrosophic information, the SVCNEWA and SVCNEWG operators based on single-valued complex neutrosophic set, Einstein product and sum are proposed. Furthermore, the single-valued complex neutrosophic EDAS model has been established and all computing steps have been depicted in detail. Finally, a numerical example of green supplier selection and a comparison analysis have been given to illustrate the practicality and effectiveness of this new model.

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