Chen, Yannan; Huang, Zheng-Hai; Qi, Liqun Minimal integrity bases of invariants of two second order antisymmetric or symmetric tensors in the Minkowski space. (English) Zbl 07802883 J. Nonlinear Convex Anal. 24, No. 12, 2667-2694 (2023). MSC: 15A72 15A69 53A45 53A55 14L24 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Nonlinear Convex Anal. 24, No. 12, 2667--2694 (2023; Zbl 07802883) Full Text: Link
Qi, Liqun; Huang, Zheng-Hai Minimal integrity bases of invariants of second order tensors in a flat Riemannian space. (English) Zbl 1528.15023 Pure Appl. Funct. Anal. 8, No. 5, 1465-1475 (2023). MSC: 15A72 53A45 53A55 14L24 PDFBibTeX XMLCite \textit{L. Qi} and \textit{Z.-H. Huang}, Pure Appl. Funct. Anal. 8, No. 5, 1465--1475 (2023; Zbl 1528.15023) Full Text: arXiv Link
Qi, Liqun; Wang, Xiangke; Luo, Ziyan Dual quaternion matrices in multi-agent formation control. (English) Zbl 1528.15006 Commun. Math. Sci. 21, No. 7, 1865-1874 (2023). MSC: 15A18 15A66 05C50 93C85 93A16 PDFBibTeX XMLCite \textit{L. Qi} et al., Commun. Math. Sci. 21, No. 7, 1865--1874 (2023; Zbl 1528.15006) Full Text: DOI arXiv
Ling, Chen; Qi, Liqun; Yan, Hong Minimax principle for eigenvalues of dual quaternion Hermitian matrices and generalized inverses of dual quaternion matrices. (English) Zbl 1526.15023 Numer. Funct. Anal. Optim. 44, No. 13, 1371-1394 (2023). MSC: 15A67 15A09 15A18 15B57 53A17 65D19 PDFBibTeX XMLCite \textit{C. Ling} et al., Numer. Funct. Anal. Optim. 44, No. 13, 1371--1394 (2023; Zbl 1526.15023) Full Text: DOI arXiv
Qi, Liqun; Song, Yisheng; Zhang, Xinzhen Copositivity of three-dimensional symmetric tensors. (English) Zbl 1525.15019 Asia-Pac. J. Oper. Res. 40, No. 3, Article ID 2250032, 16 p. (2023). MSC: 15A69 83C56 83C60 PDFBibTeX XMLCite \textit{L. Qi} et al., Asia-Pac. J. Oper. Res. 40, No. 3, Article ID 2250032, 16 p. (2023; Zbl 1525.15019) Full Text: DOI arXiv
Yu, Quan; Zhang, Xinzhen; Chen, Yannan; Qi, Liqun Low Tucker rank tensor completion using a symmetric block coordinate descent method. (English) Zbl 07729587 Numer. Linear Algebra Appl. 30, No. 3, e2464, 21 p. (2023). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{Q. Yu} et al., Numer. Linear Algebra Appl. 30, No. 3, e2464, 21 p. (2023; Zbl 07729587) Full Text: DOI
Dong, Wandi; Yu, Gaohang; Qi, Liqun; Cai, Xiaohao Practical sketching algorithms for low-rank Tucker approximation of large tensors. (English) Zbl 07698858 J. Sci. Comput. 95, No. 2, Paper No. 52, 26 p. (2023). MSC: 68W20 15A18 15A69 PDFBibTeX XMLCite \textit{W. Dong} et al., J. Sci. Comput. 95, No. 2, Paper No. 52, 26 p. (2023; Zbl 07698858) Full Text: DOI arXiv
Qi, Liqun; Luo, Ziyan Eigenvalues and singular values of dual quaternion matrices. (English) Zbl 1510.15022 Pac. J. Optim. 19, No. 2, 257-272 (2023). MSC: 15A18 15B57 65D19 70E60 PDFBibTeX XMLCite \textit{L. Qi} and \textit{Z. Luo}, Pac. J. Optim. 19, No. 2, 257--272 (2023; Zbl 1510.15022) Full Text: arXiv Link
Chen, Yannan; Jákli, Antal; Qi, Liqun The C-eigenvalue of third order tensors and its application in crystals. (English) Zbl 1513.15043 J. Ind. Manag. Optim. 19, No. 1, 265-281 (2023). MSC: 15A69 15A18 74N05 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Ind. Manag. Optim. 19, No. 1, 265--281 (2023; Zbl 1513.15043) Full Text: DOI
Cui, Chunfeng; Qi, Liqun A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix. arXiv:2304.04355 Preprint, arXiv:2304.04355 [math.OC] (2023). MSC: 15B33 15A18 68T40 BibTeX Cite \textit{C. Cui} and \textit{L. Qi}, ``A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix'', Preprint, arXiv:2304.04355 [math.OC] (2023) Full Text: arXiv OA License
Qi, Liqun; Ling, Chen; Yan, Hong Dual quaternions and dual quaternion vectors. (English) Zbl 1513.15042 Commun. Appl. Math. Comput. 4, No. 4, 1494-1508 (2022). MSC: 15A66 16W55 PDFBibTeX XMLCite \textit{L. Qi} et al., Commun. Appl. Math. Comput. 4, No. 4, 1494--1508 (2022; Zbl 1513.15042) Full Text: DOI arXiv
Qi, Liqun; Ling, Chen; Liu, Jinjie; Ouyang, Chen An orthogonal equivalence theorem for third order tensors. (English) Zbl 1513.15048 J. Ind. Manag. Optim. 18, No. 6, 4191-4200 (2022). MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{L. Qi} et al., J. Ind. Manag. Optim. 18, No. 6, 4191--4200 (2022; Zbl 1513.15048) Full Text: DOI arXiv
Ling, Chen; He, Hongjin; Qi, Liqun Singular values of dual quaternion matrices and their low-rank approximations. (English) Zbl 1503.15006 Numer. Funct. Anal. Optim. 43, No. 12, 1423-1458 (2022). Reviewer: Drahoslava Janovská (Praha) MSC: 15A18 15B33 15A60 15A45 46S05 65F55 PDFBibTeX XMLCite \textit{C. Ling} et al., Numer. Funct. Anal. Optim. 43, No. 12, 1423--1458 (2022; Zbl 1503.15006) Full Text: DOI
Chang, Shih Yu; Luo, Ziyan; Qi, Liqun Tensor manifold with Tucker rank constraints. (English) Zbl 1492.15015 Asia-Pac. J. Oper. Res. 39, No. 2, Article ID 2150022, 30 p. (2022). MSC: 15A69 15A60 65F55 PDFBibTeX XMLCite \textit{S. Y. Chang} et al., Asia-Pac. J. Oper. Res. 39, No. 2, Article ID 2150022, 30 p. (2022; Zbl 1492.15015) Full Text: DOI
Ling, Chen; Liu, Jinjie; Ouyang, Chen; Qi, Liqun ST-SVD factorization and s-diagonal tensors. (English) Zbl 1487.15032 Commun. Math. Sci. 20, No. 3, 597-610 (2022). MSC: 15A69 15A23 PDFBibTeX XMLCite \textit{C. Ling} et al., Commun. Math. Sci. 20, No. 3, 597--610 (2022; Zbl 1487.15032) Full Text: DOI arXiv
Chen, Yannan; Qi, Liqun; Zhang, Xinzhen Color image completion using a low-rank quaternion matrix approximation. (English) Zbl 07506667 Pac. J. Optim. 18, No. 1, 55-75 (2022). MSC: 65D18 15A83 15B33 65F55 90C90 PDFBibTeX XMLCite \textit{Y. Chen} et al., Pac. J. Optim. 18, No. 1, 55--75 (2022; Zbl 07506667) Full Text: Link
Qi, Liqun; Hu, Shenglong; Xu, Yanwei Spectral norm and nuclear norm of a third order tensor. (English) Zbl 1499.15077 J. Ind. Manag. Optim. 18, No. 2, 1101-1113 (2022). MSC: 15A60 15A69 PDFBibTeX XMLCite \textit{L. Qi} et al., J. Ind. Manag. Optim. 18, No. 2, 1101--1113 (2022; Zbl 1499.15077) Full Text: DOI
Qi, Liqun; Zhang, Xinzhen; Chen, Yannan A tensor rank theory and maximum full rank subtensors. (English) Zbl 1479.15030 Commun. Math. Sci. 19, No. 1, 273-286 (2021). MSC: 15A69 15A03 PDFBibTeX XMLCite \textit{L. Qi} et al., Commun. Math. Sci. 19, No. 1, 273--286 (2021; Zbl 1479.15030) Full Text: DOI arXiv
Miao, Yun; Qi, Liqun; Wei, Yimin T-Jordan canonical form and T-Drazin inverse based on the T-product. (English) Zbl 1476.15045 Commun. Appl. Math. Comput. 3, No. 2, 201-220 (2021). MSC: 15A69 15A21 15A09 65F10 PDFBibTeX XMLCite \textit{Y. Miao} et al., Commun. Appl. Math. Comput. 3, No. 2, 201--220 (2021; Zbl 1476.15045) Full Text: DOI arXiv
Song, Yisheng; Qi, Liqun Analytical expressions of copositivity for fourth-order symmetric tensors. (English) Zbl 07421751 Anal. Appl., Singap. 19, No. 5, 779-800 (2021). MSC: 81-XX 15A69 PDFBibTeX XMLCite \textit{Y. Song} and \textit{L. Qi}, Anal. Appl., Singap. 19, No. 5, 779--800 (2021; Zbl 07421751) Full Text: DOI arXiv
Chen, Yannan; Zhang, Xinzhen; Qi, Liqun; Xu, Yanwei A Barzilai-Borwein gradient algorithm for spatio-temporal internet traffic data completion via tensor triple decomposition. (English) Zbl 1528.68041 J. Sci. Comput. 88, No. 3, Paper No. 65, 24 p. (2021). MSC: 68M11 15A69 90C90 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Sci. Comput. 88, No. 3, Paper No. 65, 24 p. (2021; Zbl 1528.68041) Full Text: DOI
Qi, Liqun; Hu, Shenglong; Zhang, Xinzhen; Xu, Yanwei Biquadratic tensors, biquadratic decompositions, and norms of biquadratic tensors. (English) Zbl 1469.15030 Front. Math. China 16, No. 1, 171-185 (2021). MSC: 15A69 15A23 PDFBibTeX XMLCite \textit{L. Qi} et al., Front. Math. China 16, No. 1, 171--185 (2021; Zbl 1469.15030) Full Text: DOI arXiv
Qi, Liqun; Chen, Yannan; Bakshi, Mayank; Zhang, Xinzhen Triple decomposition and tensor recovery of third order tensors. (English) Zbl 1467.15020 SIAM J. Matrix Anal. Appl. 42, No. 1, 299-329 (2021). MSC: 15A69 65F55 15A23 PDFBibTeX XMLCite \textit{L. Qi} et al., SIAM J. Matrix Anal. Appl. 42, No. 1, 299--329 (2021; Zbl 1467.15020) Full Text: DOI arXiv
Ling, Chen; Yan, Weijie; He, Hongjin; Qi, Liqun Further study on tensor absolute value equations. (English) Zbl 1469.15017 Sci. China, Math. 63, No. 10, 2137-2156 (2020). MSC: 15A24 15A69 65F10 65F45 PDFBibTeX XMLCite \textit{C. Ling} et al., Sci. China, Math. 63, No. 10, 2137--2156 (2020; Zbl 1469.15017) Full Text: DOI arXiv
Huang, Zheng-Hai; Qi, Liqun Stationary probability vectors of higher-order two-dimensional symmetric transition probability tensors. (English) Zbl 1454.60117 Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040019, 14 p. (2020). MSC: 60J35 15A69 15B51 PDFBibTeX XMLCite \textit{Z.-H. Huang} and \textit{L. Qi}, Asia-Pac. J. Oper. Res. 37, No. 4, Article ID 2040019, 14 p. (2020; Zbl 1454.60117) Full Text: DOI arXiv
Tong, Wanbin; He, Hongjin; Ling, Chen; Qi, Liqun A nonmonotone spectral projected gradient method for tensor eigenvalue complementarity problems. (English) Zbl 1473.65077 Numer. Algebra Control Optim. 10, No. 4, 425-437 (2020). MSC: 65K15 90C33 15A69 PDFBibTeX XMLCite \textit{W. Tong} et al., Numer. Algebra Control Optim. 10, No. 4, 425--437 (2020; Zbl 1473.65077) Full Text: DOI
Xu, Yi; Liu, Jinjie; Qi, Liqun A new class of positive semi-definite tensors. (English) Zbl 1449.15028 J. Ind. Manag. Optim. 16, No. 2, 933-943 (2020). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{Y. Xu} et al., J. Ind. Manag. Optim. 16, No. 2, 933--943 (2020; Zbl 1449.15028) Full Text: DOI arXiv
Luo, Ziyan; Qi, Liqun; Toint, Philippe L. Tensor Bernstein concentration inequalities with an application to sample estimators for high-order moments. (English) Zbl 1440.15036 Front. Math. China 15, No. 2, 367-384 (2020). MSC: 15B52 15A69 60H25 PDFBibTeX XMLCite \textit{Z. Luo} et al., Front. Math. China 15, No. 2, 367--384 (2020; Zbl 1440.15036) Full Text: DOI
Gu, Lejia; Qi, Liqun Basic positive semi-definite Hankel tensors. (English) Zbl 1437.15033 Minimax Theory Appl. 5, No. 1, 33-46 (2020). MSC: 15A69 53A45 PDFBibTeX XMLCite \textit{L. Gu} and \textit{L. Qi}, Minimax Theory Appl. 5, No. 1, 33--46 (2020; Zbl 1437.15033) Full Text: Link
Miao, Yun; Qi, Liqun; Wei, Yimin Generalized tensor function via the tensor singular value decomposition based on the T-product. (English) Zbl 1437.15034 Linear Algebra Appl. 590, 258-303 (2020). MSC: 15A69 15A09 PDFBibTeX XMLCite \textit{Y. Miao} et al., Linear Algebra Appl. 590, 258--303 (2020; Zbl 1437.15034) Full Text: DOI arXiv
Ding, Weiyang; Liu, Jinjie; Qi, Liqun; Yan, Hong Elasticity \(\mathcal{M} \)-tensors and the strong ellipticity condition. (English) Zbl 1433.74028 Appl. Math. Comput. 373, Article ID 124982, 11 p. (2020). MSC: 74B20 74B10 15A18 15A69 15B48 PDFBibTeX XMLCite \textit{W. Ding} et al., Appl. Math. Comput. 373, Article ID 124982, 11 p. (2020; Zbl 1433.74028) Full Text: DOI arXiv
Wang, Xuezhong; Che, Maolin; Qi, Liqun; Wei, Yimin Modified gradient dynamic approach to the tensor complementarity problem. (English) Zbl 1432.37105 Optim. Methods Softw. 35, No. 2, 394-415 (2020). MSC: 37M05 65F15 15A69 PDFBibTeX XMLCite \textit{X. Wang} et al., Optim. Methods Softw. 35, No. 2, 394--415 (2020; Zbl 1432.37105) Full Text: DOI arXiv
Song, Yisheng; Qi, Liqun Boundedness from below conditions for a general scalar potential of two real scalars fields and the Higgs boson. arXiv:2011.11262 Preprint, arXiv:2011.11262 [math-ph] (2020). MSC: 70S20 15A72 15A63 90C20 90C30 81T60 BibTeX Cite \textit{Y. Song} and \textit{L. Qi}, ``Boundedness from below conditions for a general scalar potential of two real scalars fields and the Higgs boson'', Preprint, arXiv:2011.11262 [math-ph] (2020) Full Text: arXiv OA License
Chen, Haibin; Qi, Liqun; Caccetta, Louis; Zhou, Guanglu Birkhoff-von Neumann theorem and decomposition for doubly stochastic tensors. (English) Zbl 1425.65065 Linear Algebra Appl. 583, 119-133 (2019). MSC: 65H17 15A18 90C30 PDFBibTeX XMLCite \textit{H. Chen} et al., Linear Algebra Appl. 583, 119--133 (2019; Zbl 1425.65065) Full Text: DOI
Li, Li; Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun Test of copositive tensors. (English) Zbl 1463.65141 J. Ind. Manag. Optim. 15, No. 2, 881-891 (2019). MSC: 65K05 90C33 15A69 PDFBibTeX XMLCite \textit{L. Li} et al., J. Ind. Manag. Optim. 15, No. 2, 881--891 (2019; Zbl 1463.65141) Full Text: DOI
Chen, Yannan; Hu, Shenglong; Qi, Liqun; Zou, Wennan Irreducible function bases of isotropic invariants of a third order three-dimensional symmetric and traceless tensor. (English) Zbl 1411.15020 Front. Math. China 14, No. 1, 1-16 (2019). MSC: 15A72 15A69 53A45 PDFBibTeX XMLCite \textit{Y. Chen} et al., Front. Math. China 14, No. 1, 1--16 (2019; Zbl 1411.15020) Full Text: DOI arXiv
Che, Maolin; Bu, Changjiang; Qi, Liqun; Wei, Yimin Nonnegative tensors revisited: plane stochastic tensors. (English) Zbl 1412.15010 Linear Multilinear Algebra 67, No. 7, 1364-1391 (2019). MSC: 15A15 15A18 15A69 65F15 65F10 53A45 PDFBibTeX XMLCite \textit{M. Che} et al., Linear Multilinear Algebra 67, No. 7, 1364--1391 (2019; Zbl 1412.15010) Full Text: DOI
Luo, Z.; Qi, L.; Toint, Ph. L. Bernstein Concentration Inequalities for Tensors via Einstein Products. arXiv:1902.03056 Preprint, arXiv:1902.03056 [math.ST] (2019). MSC: 15A52 15A72 49J55 60H25 BibTeX Cite \textit{Z. Luo} et al., ``Bernstein Concentration Inequalities for Tensors via Einstein Products'', Preprint, arXiv:1902.03056 [math.ST] (2019) Full Text: arXiv OA License
Kang, Liying; Liu, Lele; Qi, Liqun; Yuan, Xiying Spectral radii of two kinds of uniform hypergraphs. (English) Zbl 1427.05136 Appl. Math. Comput. 338, 661-668 (2018). MSC: 05C50 15A42 05C65 PDFBibTeX XMLCite \textit{L. Kang} et al., Appl. Math. Comput. 338, 661--668 (2018; Zbl 1427.05136) Full Text: DOI
Liu, Jinjie; Ding, Weiyang; Qi, Liqun; Zou, Wennan Isotropic polynomial invariants of Hall tensor. (English) Zbl 1416.15020 AMM, Appl. Math. Mech., Engl. Ed. 39, No. 12, 1845-1856 (2018). MSC: 15A69 15A72 PDFBibTeX XMLCite \textit{J. Liu} et al., AMM, Appl. Math. Mech., Engl. Ed. 39, No. 12, 1845--1856 (2018; Zbl 1416.15020) Full Text: DOI arXiv
Qi, Liqun; Wei, Yimin; Xiang, Hua \(M\)-eigenvalues of the Riemann curvature tensor. (English) Zbl 1417.83012 Commun. Math. Sci. 16, No. 8, 2301-2315 (2018). MSC: 83C57 53Z05 15A18 83C05 PDFBibTeX XMLCite \textit{L. Qi} et al., Commun. Math. Sci. 16, No. 8, 2301--2315 (2018; Zbl 1417.83012) Full Text: DOI arXiv
Qi, Liqun A note on the multidimensional moment problem. (English) Zbl 1405.44007 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 1075-1079 (2018). MSC: 44A60 15B05 PDFBibTeX XMLCite \textit{L. Qi}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 1075--1079 (2018; Zbl 1405.44007) Full Text: DOI arXiv
Du, Shouqiang; Zhang, Liping; Chen, Chiyu; Qi, Liqun Tensor absolute value equations. (English) Zbl 1401.15024 Sci. China, Math. 61, No. 9, 1695-1710 (2018). MSC: 15A69 65K05 90C30 90C20 90C33 15A24 15A06 PDFBibTeX XMLCite \textit{S. Du} et al., Sci. China, Math. 61, No. 9, 1695--1710 (2018; Zbl 1401.15024) Full Text: DOI arXiv
Xu, Changqing; Chen, Zhibing; Qi, Liqun On \(\{0,1\}\) CP tensors and CP pseudographs. (English) Zbl 1397.53020 Linear Algebra Appl. 557, 287-306 (2018). MSC: 53A45 15A69 PDFBibTeX XMLCite \textit{C. Xu} et al., Linear Algebra Appl. 557, 287--306 (2018; Zbl 1397.53020) Full Text: DOI arXiv
He, Hongjin; Ling, Chen; Qi, Liqun; Zhou, Guanglu A globally and quadratically convergent algorithm for solving multilinear systems with \(\mathcal {M}\)-tensors. (English) Zbl 1397.65047 J. Sci. Comput. 76, No. 3, 1718-1741 (2018). MSC: 65F10 15A18 65K05 90C30 90C33 PDFBibTeX XMLCite \textit{H. He} et al., J. Sci. Comput. 76, No. 3, 1718--1741 (2018; Zbl 1397.65047) Full Text: DOI
Ding, Weiyang; Luo, Ziyan; Qi, Liqun \(\mathrm{P}\)-tensors, \(\mathrm{P}_0\)-tensors, and their applications. (English) Zbl 1396.15020 Linear Algebra Appl. 555, 336-354 (2018). MSC: 15A69 15A18 15B48 90C33 PDFBibTeX XMLCite \textit{W. Ding} et al., Linear Algebra Appl. 555, 336--354 (2018; Zbl 1396.15020) Full Text: DOI
Chen, Haibin; Qi, Liqun; Song, Yisheng Column sufficient tensors and tensor complementarity problems. (English) Zbl 1418.90253 Front. Math. China 13, No. 2, 255-276 (2018). MSC: 90C30 15A18 15A69 PDFBibTeX XMLCite \textit{H. Chen} et al., Front. Math. China 13, No. 2, 255--276 (2018; Zbl 1418.90253) Full Text: DOI
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
Qi, Liqun; Chen, Haibin; Chen, Yannan Tensor eigenvalues and their applications. (English) Zbl 1398.15001 Advances in Mechanics and Mathematics 39. Singapore: Springer (ISBN 978-981-10-8057-9/hbk; 978-981-10-8058-6/ebook). xiii, 329 p. (2018). Reviewer: Mihail Voicu (Iaşi) MSC: 15-02 15A72 15A18 15A69 PDFBibTeX XMLCite \textit{L. Qi} et al., Tensor eigenvalues and their applications. Singapore: Springer (2018; Zbl 1398.15001) Full Text: DOI
Zhou, Guanglu; Wang, Gang; Qi, Liqun; Alqahtani, Mohammed A fast algorithm for the spectral radii of weakly reducible nonnegative tensors. (English) Zbl 1499.65132 Numer. Linear Algebra Appl. 25, No. 2, e2134, 10 p. (2018). MSC: 65F15 15A69 PDFBibTeX XMLCite \textit{G. Zhou} et al., Numer. Linear Algebra Appl. 25, No. 2, e2134, 10 p. (2018; Zbl 1499.65132) Full Text: DOI
Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. (English) Zbl 1438.65060 Numer. Linear Algebra Appl. 25, No. 1, e2125, 16 p. (2018). MSC: 65F15 15A69 PDFBibTeX XMLCite \textit{H. Chen} et al., Numer. Linear Algebra Appl. 25, No. 1, e2125, 16 p. (2018; Zbl 1438.65060) Full Text: DOI
Huang, Zheng-Hai; Qi, Liqun Positive definiteness of paired symmetric tensors and elasticity tensors. (English) Zbl 1392.74015 J. Comput. Appl. Math. 338, 22-43 (2018). MSC: 74B20 15A72 15B57 PDFBibTeX XMLCite \textit{Z.-H. Huang} and \textit{L. Qi}, J. Comput. Appl. Math. 338, 22--43 (2018; Zbl 1392.74015) Full Text: DOI arXiv
Friedland, Shmuel (ed.); Qi, Liqun (ed.); Wei, Yimin (ed.); Yang, Qingzhi (ed.) Tensor and hypergraph. (English) Zbl 1391.00053 Front. Math. China 12, No. 6, 1277 (2017). MSC: 00B15 15-06 65-06 PDFBibTeX XMLCite \textit{S. Friedland} (ed.) et al., Front. Math. China 12, No. 6, 1277 (2017; Zbl 1391.00053) Full Text: DOI
Song, Yisheng; Qi, Liqun Properties of tensor complementarity problem and some classes of structured tensors. (English) Zbl 1399.15036 Ann. Appl. Math. 33, No. 3, 308-323 (2017). MSC: 15A72 15A18 PDFBibTeX XMLCite \textit{Y. Song} and \textit{L. Qi}, Ann. Appl. Math. 33, No. 3, 308--323 (2017; Zbl 1399.15036) Full Text: arXiv
Qi, Liqun; Zhang, Guofeng; Braun, Daniel; Bohnet-Waldraff, Fabian; Giraud, Olivier Regularly decomposable tensors and classical spin states. (English) Zbl 1390.15034 Commun. Math. Sci. 15, No. 6, 1651-1665 (2017). MSC: 15A18 15A69 15B48 81P40 PDFBibTeX XMLCite \textit{L. Qi} et al., Commun. Math. Sci. 15, No. 6, 1651--1665 (2017; Zbl 1390.15034) Full Text: DOI arXiv
Song, Yisheng; Qi, Liqun Strictly semi-positive tensors and the boundedness of tensor complementarity problems. (English) Zbl 1454.90098 Optim. Lett. 11, No. 7, 1407-1426 (2017). MSC: 90C33 15A69 15B48 PDFBibTeX XMLCite \textit{Y. Song} and \textit{L. Qi}, Optim. Lett. 11, No. 7, 1407--1426 (2017; Zbl 1454.90098) Full Text: DOI arXiv
Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun Copositivity detection of tensors: theory and algorithm. (English) Zbl 1377.65060 J. Optim. Theory Appl. 174, No. 3, 746-761 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H17 15A18 90C30 15A69 PDFBibTeX XMLCite \textit{H. Chen} et al., J. Optim. Theory Appl. 174, No. 3, 746--761 (2017; Zbl 1377.65060) Full Text: DOI arXiv
Wang, Qun; Li, Guoyin; Qi, Liqun; Xu, Yi New classes of positive semi-definite Hankel tensors. (English) Zbl 1409.15008 Minimax Theory Appl. 2, No. 2, 231-248 (2017). Reviewer: Cyril Fischer (Praha) MSC: 15A18 15A69 15B48 PDFBibTeX XMLCite \textit{Q. Wang} et al., Minimax Theory Appl. 2, No. 2, 231--248 (2017; Zbl 1409.15008) Full Text: arXiv Link
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
Qi, Liqun; Luo, Ziyan Tensor analysis. Spectral theory and special tensors. (English) Zbl 1370.15001 Other titles in Applied Mathematics 151. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-474-4; 978-1-61197-475-1/ebook). xiii, 305 p. (2017). MSC: 15-01 15A69 15B48 53A45 05C50 05C65 PDFBibTeX XMLCite \textit{L. Qi} and \textit{Z. Luo}, Tensor analysis. Spectral theory and special tensors. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2017; Zbl 1370.15001) Full Text: DOI
Yue, Jun-Jie; Zhang, Li-Ping; Lu, Mei; Qi, Li-Qun The adjacency and signless Laplacian spectra of cored hypergraphs and power hypergraphs. (English) Zbl 1368.05099 J. Oper. Res. Soc. China 5, No. 1, 27-43 (2017). MSC: 05C50 05C65 15A18 15A69 PDFBibTeX XMLCite \textit{J.-J. Yue} et al., J. Oper. Res. Soc. China 5, No. 1, 27--43 (2017; Zbl 1368.05099) Full Text: DOI
Qi, Li-Qun (ed.); Xu, Zong-Ben (ed.); Yang, Qing-Zhi (ed.) Preface. (English) Zbl 1369.00105 J. Oper. Res. Soc. China 5, No. 1, 1-2 (2017). MSC: 00B15 15-06 65-06 90-06 PDFBibTeX XMLCite \textit{L.-Q. Qi} (ed.) et al., J. Oper. Res. Soc. China 5, No. 1, 1--2 (2017; Zbl 1369.00105) Full Text: DOI
Ouyang, Chen; Qi, Liqun; Yuan, Xiying The first few unicyclic and bicyclic hypergraphs with largest spectral radii. (English) Zbl 1365.15024 Linear Algebra Appl. 527, 141-162 (2017). MSC: 15A42 05C50 PDFBibTeX XMLCite \textit{C. Ouyang} et al., Linear Algebra Appl. 527, 141--162 (2017; Zbl 1365.15024) Full Text: DOI arXiv
Ding, Weiyang; Qi, Liqun; Wei, Yimin Inheritance properties and sum-of-squares decomposition of Hankel tensors: theory and algorithms. (English) Zbl 1360.65121 BIT 57, No. 1, 169-190 (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A18 15A69 65F10 65F15 PDFBibTeX XMLCite \textit{W. Ding} et al., BIT 57, No. 1, 169--190 (2017; Zbl 1360.65121) Full Text: DOI arXiv
Che, Maolin; Qi, Liqun; Wei, Yimin Iterative algorithms for computing US- and U-eigenpairs of complex tensors. (English) Zbl 1357.65042 J. Comput. Appl. Math. 317, 547-564 (2017). MSC: 65F15 15A72 PDFBibTeX XMLCite \textit{M. Che} et al., J. Comput. Appl. Math. 317, 547--564 (2017; Zbl 1357.65042) Full Text: DOI
Li, Yaotang; Liu, Qilong; Qi, Liqun Programmable criteria for strong \(\mathcal {H}\)-tensors. (English) Zbl 1357.65048 Numer. Algorithms 74, No. 1, 199-221 (2017). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65F30 15A72 PDFBibTeX XMLCite \textit{Y. Li} et al., Numer. Algorithms 74, No. 1, 199--221 (2017; Zbl 1357.65048) Full Text: DOI
Luo, Ziyan; Qi, Liqun Positive semidefinite tensors. (Chinese. English summary) Zbl 1499.15086 Sci. Sin., Math. 46, No. 5, 639-654 (2016). MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{L. Qi}, Sci. Sin., Math. 46, No. 5, 639--654 (2016; Zbl 1499.15086) Full Text: DOI
Chen, Haibin; Li, Guoyin; Qi, Liqun Further results on Cauchy tensors and Hankel tensors. (English) Zbl 1410.15048 Appl. Math. Comput. 275, 50-62 (2016). MSC: 15A69 65F99 PDFBibTeX XMLCite \textit{H. Chen} et al., Appl. Math. Comput. 275, 50--62 (2016; Zbl 1410.15048) Full Text: DOI arXiv
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
Chen, Zhongming; Qi, Liqun Circulant tensors with applications to spectral hypergraph theory and stochastic process. (English) Zbl 1364.15017 J. Ind. Manag. Optim. 12, No. 4, 1227-1247 (2016). MSC: 15A69 15A18 05C65 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Qi}, J. Ind. Manag. Optim. 12, No. 4, 1227--1247 (2016; Zbl 1364.15017) Full Text: DOI arXiv
Chen, Haibin; Qi, Liqun Spectral properties of odd-bipartite \(Z\)-tensors and their absolute tensors. (English) Zbl 1360.90237 Front. Math. China 11, No. 3, 539-556 (2016). MSC: 90C30 15A06 PDFBibTeX XMLCite \textit{H. Chen} and \textit{L. Qi}, Front. Math. China 11, No. 3, 539--556 (2016; Zbl 1360.90237) Full Text: DOI arXiv
Qi, Liqun (ed.); Wei, Yimin (ed.); Xu, Changqing (ed.); Zhang, Tan (ed.) Linear algebra and multilinear algebra. (English) Zbl 1360.00134 Front. Math. China 11, No. 3, 509-510 (2016). MSC: 00B25 15-06 PDFBibTeX XMLCite \textit{L. Qi} (ed.) et al., Front. Math. China 11, No. 3, 509--510 (2016; Zbl 1360.00134) Full Text: DOI
Hu, Shenglong; Qi, Liqun A necessary and sufficient condition for existence of a positive Perron vector. (English) Zbl 1355.15019 SIAM J. Matrix Anal. Appl. 37, No. 4, 1747-1770 (2016). MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{S. Hu} and \textit{L. Qi}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1747--1770 (2016; Zbl 1355.15019) Full Text: DOI arXiv
Xu, Changqing; Qi, Liqun The CP decomposition of tensors, PSD tensors and Vandermonde tensors. (Chinese. English summary) Zbl 1363.15043 J. Suzhou Univ. Sci. Technol., Nat. Sci. 33, No. 2, 1-7 (2016). MSC: 15A69 15A18 15A15 15B48 PDFBibTeX XMLCite \textit{C. Xu} and \textit{L. Qi}, J. Suzhou Univ. Sci. Technol., Nat. Sci. 33, No. 2, 1--7 (2016; Zbl 1363.15043)
Xu, Changqing; Luo, Ziyan; Qi, Liqun; Chen, Zhibing \(\{0,1\}\) completely positive tensors and multi-hypergraphs. (English) Zbl 1354.05099 Linear Algebra Appl. 510, 110-123 (2016). MSC: 05C65 53A45 15A69 PDFBibTeX XMLCite \textit{C. Xu} et al., Linear Algebra Appl. 510, 110--123 (2016; Zbl 1354.05099) Full Text: DOI arXiv
Chen, Haibin; Li, Guoyin; Qi, Liqun SOS tensor decomposition: theory and applications. (English) Zbl 1351.90148 Commun. Math. Sci. 14, No. 8, 2073-2100 (2016). MSC: 90C30 15A06 PDFBibTeX XMLCite \textit{H. Chen} et al., Commun. Math. Sci. 14, No. 8, 2073--2100 (2016; Zbl 1351.90148) Full Text: DOI arXiv
Zhang, Xinzhen; Huang, Zheng-Hai; Qi, Liqun Comon’s conjecture, rank decomposition, and symmetric rank decomposition of symmetric tensors. (English) Zbl 1349.15004 SIAM J. Matrix Anal. Appl. 37, No. 4, 1719-1728 (2016). MSC: 15A03 15A21 15A72 PDFBibTeX XMLCite \textit{X. Zhang} et al., SIAM J. Matrix Anal. Appl. 37, No. 4, 1719--1728 (2016; Zbl 1349.15004) Full Text: DOI
Luo, Ziyan; Qi, Liqun Completely positive tensors: properties, easily checkable subclasses, and tractable relaxations. (English) Zbl 1349.15026 SIAM J. Matrix Anal. Appl. 37, No. 4, 1675-1698 (2016). MSC: 15A18 15A69 15B48 PDFBibTeX XMLCite \textit{Z. Luo} and \textit{L. Qi}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1675--1698 (2016; Zbl 1349.15026) Full Text: DOI
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, Zhongming; Qi, Liqun A semismooth Newton method for tensor eigenvalue complementarity problem. (English) Zbl 1377.90096 Comput. Optim. Appl. 65, No. 1, 109-126 (2016). MSC: 90C33 15A18 15A69 49M15 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{L. Qi}, Comput. Optim. Appl. 65, No. 1, 109--126 (2016; Zbl 1377.90096) Full Text: DOI arXiv
Li, Guoyin; Qi, Liqun; Wang, Qun Positive semi-definiteness of generalized anti-circulant tensors. (English) Zbl 1353.15026 Commun. Math. Sci. 14, No. 4, 941-952 (2016). Reviewer: Rabe von Randow (Bonn) MSC: 15A69 15A18 15B48 PDFBibTeX XMLCite \textit{G. Li} et al., Commun. Math. Sci. 14, No. 4, 941--952 (2016; Zbl 1353.15026) Full Text: DOI arXiv
Song, Yisheng; Qi, Liqun Tensor complementarity problem and semi-positive tensors. (English) Zbl 1349.90803 J. Optim. Theory Appl. 169, No. 3, 1069-1078 (2016). MSC: 90C33 15A69 PDFBibTeX XMLCite \textit{Y. Song} and \textit{L. Qi}, J. Optim. Theory Appl. 169, No. 3, 1069--1078 (2016; Zbl 1349.90803) Full Text: DOI arXiv
Xie, Jinshan; Qi, Liqun Spectral directed hypergraph theory via tensors. (English) Zbl 1335.05125 Linear Multilinear Algebra 64, No. 4, 780-794 (2016). MSC: 05C65 05C50 05C85 15A18 PDFBibTeX XMLCite \textit{J. Xie} and \textit{L. Qi}, Linear Multilinear Algebra 64, No. 4, 780--794 (2016; Zbl 1335.05125) Full Text: DOI
Che, Maolin; Qi, Liqun; Wei, Yimin Perturbation bounds of tensor eigenvalue and singular value problems with even order. (English) Zbl 1344.15007 Linear Multilinear Algebra 64, No. 4, 622-652 (2016). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 15A69 65F15 65F10 PDFBibTeX XMLCite \textit{M. Che} et al., Linear Multilinear Algebra 64, No. 4, 622--652 (2016; Zbl 1344.15007) Full Text: DOI
Song, Yisheng; Qi, Liqun Eigenvalue analysis of constrained minimization problem for homogeneous polynomial. (English) Zbl 1341.15009 J. Glob. Optim. 64, No. 3, 563-575 (2016). Reviewer: Mihail Voicu (Iaşi) MSC: 15A18 15A69 90C20 90C30 65K05 PDFBibTeX XMLCite \textit{Y. Song} and \textit{L. Qi}, J. Glob. Optim. 64, No. 3, 563--575 (2016; Zbl 1341.15009) Full Text: DOI arXiv
Ling, Chen; He, Hongjin; Qi, Liqun Higher-degree eigenvalue complementarity problems for tensors. (English) Zbl 1338.15027 Comput. Optim. Appl. 64, No. 1, 149-176 (2016). MSC: 15A18 15A69 65K15 90C30 90C33 PDFBibTeX XMLCite \textit{C. Ling} et al., Comput. Optim. Appl. 64, No. 1, 149--176 (2016; Zbl 1338.15027) Full Text: DOI arXiv
Che, Maolin; Qi, Liqun; Wei, Yimin Positive-definite tensors to nonlinear complementarity problems. (English) Zbl 1334.90174 J. Optim. Theory Appl. 168, No. 2, 475-487 (2016). MSC: 90C33 15A18 15A69 65F15 65F10 PDFBibTeX XMLCite \textit{M. Che} et al., J. Optim. Theory Appl. 168, No. 2, 475--487 (2016; Zbl 1334.90174) Full Text: DOI arXiv
Hu, Shenglong; Li, Guoyin; Qi, Liqun A tensor analogy of Yuan’s theorem of the alternative and polynomial optimization with sign structure. (English) Zbl 1338.90317 J. Optim. Theory Appl. 168, No. 2, 446-474 (2016). MSC: 90C26 90C22 15A69 PDFBibTeX XMLCite \textit{S. Hu} et al., J. Optim. Theory Appl. 168, No. 2, 446--474 (2016; Zbl 1338.90317) Full Text: DOI arXiv
Chen, Yannan; Qi, Liqun; Wang, Qun Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors. (English) Zbl 1334.15025 J. Comput. Appl. Math. 302, 356-368 (2016). MSC: 15A18 15A69 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 302, 356--368 (2016; Zbl 1334.15025) Full Text: DOI arXiv
Ling, Chen; He, Hongjin; Qi, Liqun On the cone eigenvalue complementarity problem for higher-order tensors. (English) Zbl 1339.15008 Comput. Optim. Appl. 63, No. 1, 143-168 (2016). Reviewer: Rabe von Randow (Bonn) MSC: 15A18 15A69 90C33 65K05 PDFBibTeX XMLCite \textit{C. Ling} et al., Comput. Optim. Appl. 63, No. 1, 143--168 (2016; Zbl 1339.15008) Full Text: DOI arXiv
Yuan, Xiying; Qi, Liqun; Shao, Jiayu The proof of a conjecture on largest Laplacian and signless Laplacian H-eigenvalues of uniform hypergraphs. (English) Zbl 1330.15025 Linear Algebra Appl. 490, 18-30 (2016). MSC: 15A42 05C50 PDFBibTeX XMLCite \textit{X. Yuan} et al., Linear Algebra Appl. 490, 18--30 (2016; Zbl 1330.15025) Full Text: DOI arXiv
Kang, Liying; Liu, Lele; Qi, Liqun; Yuan, Xiying Some results on the spectral radii of uniform hypergraphs. arXiv:1605.01750 Preprint, arXiv:1605.01750 [math.CO] (2016). MSC: 15A42 05C50 BibTeX Cite \textit{L. Kang} et al., ``Some results on the spectral radii of uniform hypergraphs'', Preprint, arXiv:1605.01750 [math.CO] (2016) Full Text: arXiv OA License
Ding, Weiyang; Qi, Liqun; Wei, Yimin Fast Hankel tensor-vector product and its application to exponential data fitting. (English) Zbl 1349.65070 Numer. Linear Algebra Appl. 22, No. 5, 814-832 (2015). MSC: 65D10 65T50 65Y20 15B05 PDFBibTeX XMLCite \textit{W. Ding} et al., Numer. Linear Algebra Appl. 22, No. 5, 814--832 (2015; Zbl 1349.65070) Full Text: DOI arXiv
Xie, Jinshan; Qi, Liqun The clique and coclique numbers’ bounds based on the H-eigenvalues of uniform hypergraphs. (English) Zbl 1329.05221 Int. J. Numer. Anal. Model. 12, No. 2, 318-327 (2015). MSC: 05C65 05C50 15A18 PDFBibTeX XMLCite \textit{J. Xie} and \textit{L. Qi}, Int. J. Numer. Anal. Model. 12, No. 2, 318--327 (2015; Zbl 1329.05221) Full Text: Link
Li, Chaoqian; Qi, Liqun; Li, Yaotang \(MB\)-tensors and \(MB_0\)-tensors. (English) Zbl 1325.15022 Linear Algebra Appl. 484, 141-153 (2015). MSC: 15A69 PDFBibTeX XMLCite \textit{C. Li} et al., Linear Algebra Appl. 484, 141--153 (2015; Zbl 1325.15022) Full Text: DOI arXiv
Qi, Liqun; Wang, Qun; Chen, Yannan Three dimensional strongly symmetric circulant tensors. (English) Zbl 1321.15043 Linear Algebra Appl. 482, 207-220 (2015). MSC: 15A72 15B48 15B57 15A18 PDFBibTeX XMLCite \textit{L. Qi} et al., Linear Algebra Appl. 482, 207--220 (2015; Zbl 1321.15043) Full Text: DOI arXiv
Chen, Haibin; Qi, Liqun Positive definiteness and semi-definiteness of even order symmetric Cauchy tensors. (English) Zbl 1371.15023 J. Ind. Manag. Optim. 11, No. 4, 1263-1274 (2015). MSC: 15A69 15A18 15B48 PDFBibTeX XMLCite \textit{H. Chen} and \textit{L. Qi}, J. Ind. Manag. Optim. 11, No. 4, 1263--1274 (2015; Zbl 1371.15023) Full Text: DOI arXiv
Song, Yisheng; Qi, Liqun Properties of some classes of structured tensors. (English) Zbl 1390.15085 J. Optim. Theory Appl. 165, No. 3, 854-873 (2015). MSC: 15A69 PDFBibTeX XMLCite \textit{Y. Song} and \textit{L. Qi}, J. Optim. Theory Appl. 165, No. 3, 854--873 (2015; Zbl 1390.15085) Full Text: DOI arXiv
Luo, ZiYan; Qi, LiQun; Ye, YinYu Linear operators and positive semidefiniteness of symmetric tensor spaces. (English) Zbl 1308.15025 Sci. China, Math. 58, No. 1, 197-212 (2015). MSC: 15A69 53A45 47A05 53C35 PDFBibTeX XMLCite \textit{Z. Luo} et al., Sci. China, Math. 58, No. 1, 197--212 (2015; Zbl 1308.15025) Full Text: DOI
Qi, Liqun Hankel tensors: associated Hankel matrices and Vandermonde decomposition. (English) Zbl 1331.15020 Commun. Math. Sci. 13, No. 1, 113-125 (2015). Reviewer: Cyril Fischer (Praha) MSC: 15A69 15A18 PDFBibTeX XMLCite \textit{L. Qi}, Commun. Math. Sci. 13, No. 1, 113--125 (2015; Zbl 1331.15020) Full Text: DOI arXiv