Du, Wenxin; Hu, Shenglong; Lin, Youyicun; Wang, Jie A global convergence analysis for computing a symmetric low-rank orthogonal approximation. (English) Zbl 1517.90143 Asia-Pac. J. Oper. Res. 39, No. 6, Article ID 2250003, 12 p. (2022). MSC: 90C30 90C90 PDFBibTeX XMLCite \textit{W. Du} et al., Asia-Pac. J. Oper. Res. 39, No. 6, Article ID 2250003, 12 p. (2022; Zbl 1517.90143) Full Text: DOI
Zheng, Meng-Meng; Huang, Zheng-Hai; Hu, Sheng-Long Unconstrained minimization of block-circulant polynomials via semidefinite program in third-order tensor space. (English) Zbl 1502.65036 J. Glob. Optim. 84, No. 2, 415-440 (2022). MSC: 65K05 90C22 PDFBibTeX XMLCite \textit{M.-M. Zheng} et al., J. Glob. Optim. 84, No. 2, 415--440 (2022; Zbl 1502.65036) Full Text: DOI
Hu, Sheng-Long Certifying the global optimality of quartic minimization over the sphere. (English) Zbl 1513.13056 J. Oper. Res. Soc. China 10, No. 2, 241-287 (2022). MSC: 13P15 15A18 15A69 49N15 65H04 90C26 90C46 PDFBibTeX XMLCite \textit{S.-L. Hu}, J. Oper. Res. Soc. China 10, No. 2, 241--287 (2022; Zbl 1513.13056) Full Text: DOI
Lin, Youyicun; Hu, Shenglong B-subdifferentials of the projection onto the generalized simplex. (English) Zbl 1493.90189 Asia-Pac. J. Oper. Res. 39, No. 2, Article ID 2150020, 15 p. (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{S. Hu}, Asia-Pac. J. Oper. Res. 39, No. 2, Article ID 2150020, 15 p. (2022; Zbl 1493.90189) Full Text: DOI
Hu, Shenglong; Wang, Qun A globally convergent method for solving a quartic generalized Markowitz portfolio problem. (English) Zbl 1492.91324 Appl. Numer. Math. 179, 255-272 (2022). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G10 90C25 90C22 PDFBibTeX XMLCite \textit{S. Hu} and \textit{Q. Wang}, Appl. Numer. Math. 179, 255--272 (2022; Zbl 1492.91324) Full Text: DOI
Lin, Youyicun; Hu, Shenglong B-subdifferential of the projection onto the generalized spectraplex. (English) Zbl 1500.90071 J. Optim. Theory Appl. 192, No. 2, 702-724 (2022). MSC: 90C30 26E25 58C20 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{S. Hu}, J. Optim. Theory Appl. 192, No. 2, 702--724 (2022; Zbl 1500.90071) Full Text: DOI
Hu, Shenglong; Li, Guoyin \(\mathrm{B}\)-subdifferentials of the projection onto the matrix simplex. (English) Zbl 1510.65117 Comput. Optim. Appl. 80, No. 3, 915-941 (2021). MSC: 65K05 90C53 15B48 90C22 49J52 PDFBibTeX XMLCite \textit{S. Hu} and \textit{G. Li}, Comput. Optim. Appl. 80, No. 3, 915--941 (2021; Zbl 1510.65117) Full Text: DOI
Li, Yan; Hu, Sheng-Long; Wang, Jie; Huang, Zheng-Hai An introduction to the computational complexity of matrix multiplication. (English) Zbl 1463.90252 J. Oper. Res. Soc. China 8, No. 1, 29-43 (2020). MSC: 90C60 03D15 15A99 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Oper. Res. Soc. China 8, No. 1, 29--43 (2020; Zbl 1463.90252) Full Text: DOI
Hu, Shenglong An inexact augmented Lagrangian method for computing strongly orthogonal decompositions of tensors. (English) Zbl 1441.15019 Comput. Optim. Appl. 75, No. 3, 701-737 (2020). MSC: 15A69 15A03 90C26 PDFBibTeX XMLCite \textit{S. Hu}, Comput. Optim. Appl. 75, No. 3, 701--737 (2020; Zbl 1441.15019) Full Text: DOI
Li, Yan; Huang, Zheng-Hai; Hu, Shenglong Connectedness of the solution set of the tensor complementarity problem. (English) Zbl 1436.15026 J. Math. Anal. Appl. 487, No. 1, Article ID 123965, 14 p. (2020). MSC: 15A69 90C33 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Math. Anal. Appl. 487, No. 1, Article ID 123965, 14 p. (2020; Zbl 1436.15026) Full Text: DOI
Hu, Shenglong; Sun, Defeng; Toh, Kim-Chuan Best nonnegative rank-one approximations of tensors. (English) Zbl 1454.90047 SIAM J. Matrix Anal. Appl. 40, No. 4, 1527-1554 (2019). MSC: 90C23 15A18 15A42 15A69 90C22 PDFBibTeX XMLCite \textit{S. Hu} et al., SIAM J. Matrix Anal. Appl. 40, No. 4, 1527--1554 (2019; Zbl 1454.90047) Full Text: DOI arXiv
Hu, Shenglong; Wang, Jie; Huang, Zheng-Hai An inexact augmented Lagrangian multiplier method for solving quadratic complementary problems: an adapted algorithmic framework combining specific resolution techniques. (English) Zbl 1418.90262 J. Comput. Appl. Math. 361, 64-78 (2019). MSC: 90C33 90C20 PDFBibTeX XMLCite \textit{S. Hu} et al., J. Comput. Appl. Math. 361, 64--78 (2019; Zbl 1418.90262) Full Text: DOI
Hu, Shenglong; Wang, Jie; Huang, Zheng-Hai Error bounds for the solution sets of quadratic complementarity problems. (English) Zbl 1402.90189 J. Optim. Theory Appl. 179, No. 3, 983-1000 (2018). MSC: 90C33 15A69 PDFBibTeX XMLCite \textit{S. Hu} et al., J. Optim. Theory Appl. 179, No. 3, 983--1000 (2018; Zbl 1402.90189) Full Text: DOI
Wang, Jie; Hu, Shenglong; Huang, Zheng-Hai Solution sets of quadratic complementarity problems. (English) Zbl 1412.90153 J. Optim. Theory Appl. 176, No. 1, 120-136 (2018). MSC: 90C33 15A69 49N60 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Optim. Theory Appl. 176, No. 1, 120--136 (2018; Zbl 1412.90153) Full Text: DOI
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
Yang, Lei; Huang, Zheng-Hai; Hu, Shenglong; Han, Jiye An iterative algorithm for third-order tensor multi-rank minimization. (English) Zbl 1356.90143 Comput. Optim. Appl. 63, No. 1, 169-202 (2016). Reviewer: Alberto Seeger (Avignon) MSC: 90C30 PDFBibTeX XMLCite \textit{L. Yang} et al., Comput. Optim. Appl. 63, No. 1, 169--202 (2016; Zbl 1356.90143) Full Text: DOI
Wang, Yong; Hu, Shenglong; Ni, Hongyan A family of generalized NCP-functions and a smoothing reformulation of D-eigenvalues. (English) Zbl 1327.90342 Pac. J. Optim. 10, No. 3, 613-629 (2014). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{Y. Wang} et al., Pac. J. Optim. 10, No. 3, 613--629 (2014; Zbl 1327.90342) Full Text: Link
Hu, Shenglong; Huang, Zheng-Hai; Qi, Liqun Finding the extreme \(Z\)-eigenvalues of tensors via a sequential semidefinite programming method. (English) Zbl 1313.90173 Numer. Linear Algebra Appl. 20, No. 6, 972-984 (2013). Reviewer: Xinzhen Zhang (Tianjin) MSC: 90C22 15A69 90C05 PDFBibTeX XMLCite \textit{S. Hu} et al., Numer. Linear Algebra Appl. 20, No. 6, 972--984 (2013; Zbl 1313.90173) Full Text: DOI
Hu, Shenglong; Li, Guoyin; Qi, Liqun; Song, Yisheng Finding the maximum eigenvalue of essentially nonnegative symmetric tensors via sum of squares programming. (English) Zbl 1274.90258 J. Optim. Theory Appl. 158, No. 3, 717-738 (2013). MSC: 90C22 90C30 PDFBibTeX XMLCite \textit{S. Hu} et al., J. Optim. Theory Appl. 158, No. 3, 717--738 (2013; Zbl 1274.90258) Full Text: DOI
Ni, Tie; Hu, Sheng-Long A note on quadratic convergence of a smoothing Newton algorithm for the LCP. (English) Zbl 1268.90104 Optim. Lett. 7, No. 3, 519-531 (2013). MSC: 90C33 PDFBibTeX XMLCite \textit{T. Ni} and \textit{S.-L. Hu}, Optim. Lett. 7, No. 3, 519--531 (2013; Zbl 1268.90104) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai Theorems of the alternative for inequality systems of real polynomials. (English) Zbl 1267.90138 J. Optim. Theory Appl. 154, No. 1, 1-16 (2012). Reviewer: Samir Kumar Neogy (New Delhi) MSC: 90C30 PDFBibTeX XMLCite \textit{S.-L. Hu} and \textit{Z.-H. Huang}, J. Optim. Theory Appl. 154, No. 1, 1--16 (2012; Zbl 1267.90138) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai A note on approximating quadratic programming with rank constraint. (English) Zbl 1254.90146 Optimization 61, No. 4-6, 525-534 (2012). Reviewer: Constantin Udrişte (Bucureşti) MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{S.-L. Hu} and \textit{Z.-H. Huang}, Optimization 61, No. 4--6, 525--534 (2012; Zbl 1254.90146) Full Text: DOI
Hu, Shenglong; Huang, Zheng-Hai; Ni, Hong-Yan; Qi, Liqun Positive definiteness of diffusion kurtosis imaging. (English) Zbl 1242.90164 Inverse Probl. Imaging 6, No. 1, 57-75 (2012). MSC: 90C25 90C33 35P30 PDFBibTeX XMLCite \textit{S. Hu} et al., Inverse Probl. Imaging 6, No. 1, 57--75 (2012; Zbl 1242.90164) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai Alternating direction method for bi-quadratic programming. (English) Zbl 1248.65061 J. Glob. Optim. 51, No. 3, 429-446 (2011). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 65K05 90C20 90C22 PDFBibTeX XMLCite \textit{S.-L. Hu} and \textit{Z.-H. Huang}, J. Glob. Optim. 51, No. 3, 429--446 (2011; Zbl 1248.65061) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai; Zhang, Qiong A generalized Newton method for absolute value equations associated with second order cones. (English) Zbl 1204.65065 J. Comput. Appl. Math. 235, No. 5, 1490-1501 (2011). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C05 90C30 15A06 90C33 90C53 PDFBibTeX XMLCite \textit{S.-L. Hu} et al., J. Comput. Appl. Math. 235, No. 5, 1490--1501 (2011; Zbl 1204.65065) Full Text: DOI
Lu, Liyong; Huang, Zhenghai; Hu, Shenglong Properties of a family of merit functions and a merit function method for the NCP. (English) Zbl 1240.90443 Appl. Math., Ser. B (Engl. Ed.) 25, No. 4, 379-390 (2010). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{L. Lu} et al., Appl. Math., Ser. B (Engl. Ed.) 25, No. 4, 379--390 (2010; Zbl 1240.90443) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai; Lu, Nan A non-monotone line search algorithm for unconstrained optimization. (English) Zbl 1203.90146 J. Sci. Comput. 42, No. 1, 38-53 (2010). MSC: 90C30 90C26 PDFBibTeX XMLCite \textit{S.-L. Hu} et al., J. Sci. Comput. 42, No. 1, 38--53 (2010; Zbl 1203.90146) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai Polynomial time solvability of non-symmetric semidefinite programming. (English) Zbl 1202.90208 Oper. Res. Lett. 38, No. 5, 358-360 (2010). MSC: 90C22 90C60 90C51 PDFBibTeX XMLCite \textit{S.-L. Hu} and \textit{Z.-H. Huang}, Oper. Res. Lett. 38, No. 5, 358--360 (2010; Zbl 1202.90208) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai; Lu, Nan Smoothness of a class of generalized merit functions for the second-order cone complementarity problem. (English) Zbl 1226.90117 Pac. J. Optim. 6, No. 3, 551-571 (2010). MSC: 90C33 90C30 PDFBibTeX XMLCite \textit{S.-L. Hu} et al., Pac. J. Optim. 6, No. 3, 551--571 (2010; Zbl 1226.90117)
Hu, Sheng-Long; Huang, Zheng-Hai A note on absolute value equations. (English) Zbl 1202.90251 Optim. Lett. 4, No. 3, 417-424 (2010). MSC: 90C33 PDFBibTeX XMLCite \textit{S.-L. Hu} and \textit{Z.-H. Huang}, Optim. Lett. 4, No. 3, 417--424 (2010; Zbl 1202.90251) Full Text: DOI
Huang, ZhengHai; Hu, ShengLong; Han, JiYe Convergence of a smoothing algorithm for symmetric cone complementarity problems with a nonmonotone line search. (English) Zbl 1203.90123 Sci. China, Ser. A 52, No. 4, 833-848 (2009). MSC: 90C25 90C33 PDFBibTeX XMLCite \textit{Z. Huang} et al., Sci. China, Ser. A 52, No. 4, 833--848 (2009; Zbl 1203.90123) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai; Chen, Jein-Shan Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems. (English) Zbl 1172.65029 J. Comput. Appl. Math. 230, No. 1, 69-82 (2009). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 90C33 90C56 PDFBibTeX XMLCite \textit{S.-L. Hu} et al., J. Comput. Appl. Math. 230, No. 1, 69--82 (2009; Zbl 1172.65029) Full Text: DOI
Hu, Sheng-Long; Huang, Zheng-Hai; Wang, Ping A nonmonotone smoothing Newton algorithm for solving nonlinear complementarity problems. (English) Zbl 1173.90552 Optim. Methods Softw. 24, No. 3, 447-460 (2009). MSC: 90C33 65K10 PDFBibTeX XMLCite \textit{S.-L. Hu} et al., Optim. Methods Softw. 24, No. 3, 447--460 (2009; Zbl 1173.90552) Full Text: DOI