An Efficient GIPM Algorithm for Computing the Smallest V-Singular Value of the Partially Symmetric Tensor-Reference-Cited by-同舟云学术

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An Efficient GIPM Algorithm for Computing the Smallest V-Singular Value of the Partially Symmetric Tensor

Published:2024-04-26 Issue:3 Volume:201 Page:1151-1167
ISSN:0022-3239
Container-title:Journal of Optimization Theory and Applications
language:en
Short-container-title:J Optim Theory Appl

Author:

Du Zhuolin,Wang Chunyan,Chen Haibin,Yan Hong

Funder

National Natural Science Foundation of China

Shandong Provincial Natural Science Foundation of Distinguished Young Scholar

Hong Kong Research Grants Council

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s10957-024-02434-1.pdf

Reference36 articles.

1. Chang, K., Qi, L., Zhou, G.: Singular values of a real rectangular tensor. J. Math. Anal. Appl. 370(1), 284–294 (2010)

2. Che, H., Chen, H., Wang, Y.: On the M-eigenvalue estimation of fourth-order partially symmetric tensors. J. Ind. Manag. Optim. 16(1), 309–324 (2020)

3. Chen, Z., Qi, L., Yang, Q.: The solution methods for the largest eigenvalue (singular value) of nonnegative tensors and convergence analysis. Linear Algebra Appl. 439(12), 3713–3733 (2013)

4. Chirita, S., Danescu, A., Ciarletta, M.: On the strong ellipticity of the anisotropic linearly elastic materials. J. Elast. 87, 1–27 (2007)

5. Dahl, G., Leinaas, J.M., Myrheim, J.: A tensor product matrix approximation problem in quantum physics. Linear Algebra Appl. 420(2–3), 711–725 (2007)

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