Cui, Xingbang; Zhang, Liping Computing the dominant eigenpair of an essentially nonnegative tensor via a homotopy method. (English) Zbl 1522.65047 J. Comput. Appl. Math. 438, Article ID 115565, 9 p. (2024). MSC: 65F15 15A69 15A18 15B48 PDFBibTeX XMLCite \textit{X. Cui} and \textit{L. Zhang}, J. Comput. Appl. Math. 438, Article ID 115565, 9 p. (2024; Zbl 1522.65047) Full Text: DOI arXiv
Liu, Xifu; Liu, Dongdong; Shi, Yaping Perturbation bounds for the largest \(C\)-eigenvalue of piezoelectric-type tensors. (English) Zbl 1526.15009 Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 194, 15 p. (2023). MSC: 15A18 15A69 15A42 PDFBibTeX XMLCite \textit{X. Liu} et al., Bull. Malays. Math. Sci. Soc. (2) 46, No. 6, Paper No. 194, 15 p. (2023; Zbl 1526.15009) Full Text: DOI arXiv
Ma, Wanli; Ding, Weiyang; Wei, Yimin Noda iteration for computing generalized tensor eigenpairs. (English) Zbl 1518.65034 J. Comput. Appl. Math. 432, Article ID 115284, 25 p. (2023). MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{W. Ma} et al., J. Comput. Appl. Math. 432, Article ID 115284, 25 p. (2023; Zbl 1518.65034) Full Text: DOI arXiv
Chang, Jingya; Zhu, Zhi An adaptive cubic regularization algorithm for computing H- and Z-eigenvalues of real even-order supersymmetric tensors. (English) Zbl 1518.65031 J. Comput. Appl. Math. 428, Article ID 115195, 17 p. (2023). MSC: 65F15 15A18 15A69 90C30 90C26 PDFBibTeX XMLCite \textit{J. Chang} and \textit{Z. Zhu}, J. Comput. Appl. Math. 428, Article ID 115195, 17 p. (2023; Zbl 1518.65031) Full Text: DOI
Evert, Eric; De Lathauwer, Lieven On best low rank approximation of positive definite tensors. (English) Zbl 1518.15029 SIAM J. Matrix Anal. Appl. 44, No. 2, 867-893 (2023). MSC: 15A69 15A42 65F55 90C22 PDFBibTeX XMLCite \textit{E. Evert} and \textit{L. De Lathauwer}, SIAM J. Matrix Anal. Appl. 44, No. 2, 867--893 (2023; Zbl 1518.15029) Full Text: DOI
He, Jun; Liu, Yanmin; Zeng, Qingyu New \(Z\)-eigenvalue inclusion theorem of tensors with application to the geometric measure of entanglement. (English) Zbl 1509.15005 Quantum Inf. Process. 22, No. 3, Paper No. 134, 13 p. (2023). MSC: 15A18 15A21 15A69 81P42 PDFBibTeX XMLCite \textit{J. He} et al., Quantum Inf. Process. 22, No. 3, Paper No. 134, 13 p. (2023; Zbl 1509.15005) Full Text: DOI
Zhao, Jianxing; Sang, Caili Z-eigenvalue intervals of even-order tensors with application to judge the strong ellipticity of an elasticity tensor. (English) Zbl 1503.15007 Acta Appl. Math. 182, Paper No. 5, 30 p. (2022). MSC: 15A18 15A69 74B20 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{C. Sang}, Acta Appl. Math. 182, Paper No. 5, 30 p. (2022; Zbl 1503.15007) Full Text: DOI
Sang, Caili; Zhao, Jianxing Direct methods to compute all \(Z\)-eigenpairs of a tensor with dimension 2 or 3. (English) Zbl 1513.15020 Comput. Appl. Math. 41, No. 7, Paper No. 327, 25 p. (2022). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{C. Sang} and \textit{J. Zhao}, Comput. Appl. Math. 41, No. 7, Paper No. 327, 25 p. (2022; Zbl 1513.15020) Full Text: DOI
Wen, Ya-qiong; Li, Wen Riemannian conjugate gradient methods for computing the extreme eigenvalues of symmetric tensors. (English) Zbl 1496.65055 Calcolo 59, No. 3, Paper No. 27, 28 p. (2022). MSC: 65F15 15A69 PDFBibTeX XMLCite \textit{Y.-q. Wen} and \textit{W. Li}, Calcolo 59, No. 3, Paper No. 27, 28 p. (2022; Zbl 1496.65055) Full Text: DOI
Liu, Xifu; Mo, Changxin Calculating \(C\)-eigenpairs of piezoelectric-type tensors via a \(Z\)-eigenpair method. (English) Zbl 1510.15021 Appl. Math. Comput. 426, Article ID 127124, 10 p. (2022). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{X. Liu} and \textit{C. Mo}, Appl. Math. Comput. 426, Article ID 127124, 10 p. (2022; Zbl 1510.15021) Full Text: DOI
Sheng, Zhou; Ni, Qin Computing tensor Z-eigenvalues via shifted inverse power method. (English) Zbl 1472.65046 J. Comput. Appl. Math. 398, Article ID 113717, 14 p. (2021). MSC: 65F15 15A18 15A69 PDFBibTeX XMLCite \textit{Z. Sheng} and \textit{Q. Ni}, J. Comput. Appl. Math. 398, Article ID 113717, 14 p. (2021; Zbl 1472.65046) Full Text: DOI
Song, Yisheng Positive definiteness for 4th order symmetric tensors and applications. (English) Zbl 1459.15027 Anal. Math. Phys. 11, No. 1, Paper No. 10, 17 p. (2021). MSC: 15A72 15A69 15B48 81T32 70S20 53A45 81T10 PDFBibTeX XMLCite \textit{Y. Song}, Anal. Math. Phys. 11, No. 1, Paper No. 10, 17 p. (2021; Zbl 1459.15027) Full Text: DOI
Xiong, Liang; Liu, Jianzhou Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications. (English) Zbl 1464.15032 Acta Appl. Math. 170, 229-264 (2020). MSC: 15A45 15A18 15A69 PDFBibTeX XMLCite \textit{L. Xiong} and \textit{J. Liu}, Acta Appl. Math. 170, 229--264 (2020; Zbl 1464.15032) Full Text: DOI
Chen, Yannan; Chang, Jingya A trust region algorithm for computing extreme eigenvalues of tensors. (English) Zbl 1456.65030 Numer. Algebra Control Optim. 10, No. 4, 475-485 (2020). MSC: 65F99 15A18 15A69 90C30 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{J. Chang}, Numer. Algebra Control Optim. 10, No. 4, 475--485 (2020; Zbl 1456.65030) Full Text: DOI
Zhao, Ruijuan; Zheng, Bing; Liang, Maolin; Xu, Yangyang A locally and cubically convergent algorithm for computing \(\mathcal{Z}\)-eigenpairs of symmetric tensors. (English) Zbl 1474.65091 Numer. Linear Algebra Appl. 27, No. 3, e2284, 21 p. (2020). Reviewer: John D. Dixon (Ottawa) MSC: 65F15 15A69 PDFBibTeX XMLCite \textit{R. Zhao} et al., Numer. Linear Algebra Appl. 27, No. 3, e2284, 21 p. (2020; Zbl 1474.65091) Full Text: DOI
Xiong, Liang; Liu, Jianzhou \(Z\)-eigenvalue inclusion theorem of tensors and the geometric measure of entanglement of multipartite pure states. (English) Zbl 1449.15026 Comput. Appl. Math. 39, No. 2, Paper No. 135, 11 p. (2020). MSC: 15A18 15A69 15A21 PDFBibTeX XMLCite \textit{L. Xiong} and \textit{J. Liu}, Comput. Appl. Math. 39, No. 2, Paper No. 135, 11 p. (2020; Zbl 1449.15026) Full Text: DOI
Bao, Yan-Hong; Fan, Yi-Zheng; Wang, Yi; Zhu, Ming A combinatorial method for computing characteristic polynomials of starlike hypergraphs. (English) Zbl 1441.05118 J. Algebr. Comb. 51, No. 4, 589-616 (2020). MSC: 05C31 05C65 05C57 91A43 13P15 15A18 PDFBibTeX XMLCite \textit{Y.-H. Bao} et al., J. Algebr. Comb. 51, No. 4, 589--616 (2020; Zbl 1441.05118) Full Text: DOI arXiv
Zhang, Mengshi; Ni, Guyan; Zhang, Guofeng Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement. (English) Zbl 1455.81010 Comput. Optim. Appl. 75, No. 3, 779-798 (2020). Reviewer: Yisheng Song (Hong Kong) MSC: 81P40 81P42 15A18 15A69 65F10 PDFBibTeX XMLCite \textit{M. Zhang} et al., Comput. Optim. Appl. 75, No. 3, 779--798 (2020; Zbl 1455.81010) Full Text: DOI arXiv
Bozorgmanesh, Hassan; Hajarian, Masoud Solving tensor E-eigenvalue problem faster. (English) Zbl 1427.15009 Appl. Math. Lett. 100, Article ID 106020, 9 p. (2020). MSC: 15A18 15A69 65F15 PDFBibTeX XMLCite \textit{H. Bozorgmanesh} and \textit{M. Hajarian}, Appl. Math. Lett. 100, Article ID 106020, 9 p. (2020; Zbl 1427.15009) Full Text: DOI
Mo, Changxin; Li, Chaoqian; Wang, Xuezhong; Wei, Yimin \(Z\)-eigenvalues based structured tensors: \(\mathcal{M}_Z\)-tensors and strong \(\mathcal{M}_Z\)-tensors. (English) Zbl 1438.15061 Comput. Appl. Math. 38, No. 4, Paper No. 175, 25 p. (2019). MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{C. Mo} et al., Comput. Appl. Math. 38, No. 4, Paper No. 175, 25 p. (2019; Zbl 1438.15061) Full Text: DOI
Han, Lixing A continuation method for tensor complementarity problems. (English) Zbl 1409.90201 J. Optim. Theory Appl. 180, No. 3, 949-963 (2019). MSC: 90C33 15A69 65H20 PDFBibTeX XMLCite \textit{L. Han}, J. Optim. Theory Appl. 180, No. 3, 949--963 (2019; Zbl 1409.90201) Full Text: DOI arXiv
Guo, Chun-Hua; Lin, Wen-Wei; Liu, Ching-Sung A modified Newton iteration for finding nonnegative \(Z\)-eigenpairs of a nonnegative tensor. (English) Zbl 1408.65016 Numer. Algorithms 80, No. 2, 595-616 (2019). MSC: 65F15 15A69 65F50 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., Numer. Algorithms 80, No. 2, 595--616 (2019; Zbl 1408.65016) Full Text: DOI arXiv
Jaffe, Ariel; Weiss, Roi; Nadler, Boaz Newton correction methods for computing real eigenpairs of symmetric tensors. (English) Zbl 1415.65087 SIAM J. Matrix Anal. Appl. 39, No. 3, 1071-1094 (2018). MSC: 65F15 15A69 15A72 15A18 PDFBibTeX XMLCite \textit{A. Jaffe} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1071--1094 (2018; Zbl 1415.65087) Full Text: DOI arXiv
Chang, Jingya; Ding, Weiyang; Qi, Liqun; Yan, Hong Computing the \(p\)-spectral radii of uniform hypergraphs with applications. (English) Zbl 1386.05103 J. Sci. Comput. 75, No. 1, 1-25 (2018). MSC: 05C50 05C65 15A18 15A69 65F15 65K05 90C35 90C53 PDFBibTeX XMLCite \textit{J. Chang} et al., J. Sci. Comput. 75, No. 1, 1--25 (2018; Zbl 1386.05103) Full Text: DOI arXiv
Chen, Liping; Han, Lixing; Zhou, Liangmin Linear homotopy method for computing generalized tensor eigenpairs. (English) Zbl 1393.15033 Front. Math. China 12, No. 6, 1303-1317 (2017). MSC: 15A69 15A18 65H20 65F15 PDFBibTeX XMLCite \textit{L. Chen} et al., Front. Math. China 12, No. 6, 1303--1317 (2017; Zbl 1393.15033) Full Text: DOI
Che, Maolin; Li, Guoyin; Qi, Liqun; Wei, Yimin Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems. (English) Zbl 1371.15010 Linear Algebra Appl. 533, 536-572 (2017). MSC: 15A18 15A69 65F15 65F10 PDFBibTeX XMLCite \textit{M. Che} et al., Linear Algebra Appl. 533, 536--572 (2017; Zbl 1371.15010) Full Text: DOI
Chen, Yannan; Qi, Liqun; Wang, Qun Computing extreme eigenvalues of large scale Hankel tensors. (English) Zbl 1377.65046 J. Sci. Comput. 68, No. 2, 716-738 (2016). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A69 65T50 65K05 65Y20 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Sci. Comput. 68, No. 2, 716--738 (2016; Zbl 1377.65046) Full Text: DOI arXiv
Chang, Jingya; Chen, Yannan; Qi, Liqun Computing eigenvalues of large scale sparse tensors arising from a hypergraph. (English) Zbl 1350.05109 SIAM J. Sci. Comput. 38, No. 6, A3618-A3643 (2016). MSC: 05C65 15A18 15A69 65F15 65K05 90C35 90C53 PDFBibTeX XMLCite \textit{J. Chang} et al., SIAM J. Sci. Comput. 38, No. 6, A3618--A3643 (2016; Zbl 1350.05109) Full Text: DOI arXiv
Chen, Liping; Han, Lixing; Zhou, Liangmin Computing tensor eigenvalues via homotopy methods. (English) Zbl 1376.15017 SIAM J. Matrix Anal. Appl. 37, No. 1, 290-319 (2016). MSC: 15A69 15A18 65H10 65F15 65H20 65H17 PDFBibTeX XMLCite \textit{L. Chen} et al., SIAM J. Matrix Anal. Appl. 37, No. 1, 290--319 (2016; Zbl 1376.15017) Full Text: DOI arXiv