Tunçel, Levent; Vandenberghe, Lieven Linear optimization over homogeneous matrix cones. (English) Zbl 07736660 Acta Numerica 32, 675-747 (2023). MSC: 65-XX 90-02 90C25 15B48 65K05 90C22 90C51 PDFBibTeX XMLCite \textit{L. Tunçel} and \textit{L. Vandenberghe}, Acta Numerica 32, 675--747 (2023; Zbl 07736660) Full Text: DOI arXiv
Xiang, Chengdi; Petersen, Ian R.; Dong, Daoyi Guaranteed cost coherent control for quantum systems with non-quadratic perturbations in the system Hamiltonian. (English) Zbl 1487.81105 Automatica 139, Article ID 110201, 8 p. (2022). MSC: 81Q93 81P47 35B20 15A39 78A37 PDFBibTeX XMLCite \textit{C. Xiang} et al., Automatica 139, Article ID 110201, 8 p. (2022; Zbl 1487.81105) Full Text: DOI
Dickinson, Peter J. C.; de Zeeuw, Reinier Generating irreducible copositive matrices using the stable set problem. (English) Zbl 1462.05218 Discrete Appl. Math. 296, 103-117 (2021). MSC: 05C50 05C69 15B48 PDFBibTeX XMLCite \textit{P. J. C. Dickinson} and \textit{R. de Zeeuw}, Discrete Appl. Math. 296, 103--117 (2021; Zbl 1462.05218) Full Text: DOI
Palitta, Davide; Simoncini, Valeria Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations. (English) Zbl 1466.65031 Vietnam J. Math. 48, No. 4, 791-807 (2020). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{V. Simoncini}, Vietnam J. Math. 48, No. 4, 791--807 (2020; Zbl 1466.65031) Full Text: DOI arXiv
Dean, Sarah; Mania, Horia; Matni, Nikolai; Recht, Benjamin; Tu, Stephen On the sample complexity of the linear quadratic regulator. (English) Zbl 1447.49052 Found. Comput. Math. 20, No. 4, 633-679 (2020). MSC: 49N10 93D09 93D21 93E12 93E35 15B52 PDFBibTeX XMLCite \textit{S. Dean} et al., Found. Comput. Math. 20, No. 4, 633--679 (2020; Zbl 1447.49052) Full Text: DOI arXiv Link
Ariola, Marco; De Tommasi, Gianmaria; Mele, Adriano; Tartaglione, Gaetano On the numerical solution of differential linear matrix inequalities. (English) Zbl 1441.93108 J. Optim. Theory Appl. 185, No. 2, 540-553 (2020). MSC: 93C05 93B50 15A39 PDFBibTeX XMLCite \textit{M. Ariola} et al., J. Optim. Theory Appl. 185, No. 2, 540--553 (2020; Zbl 1441.93108) Full Text: DOI
Xu, Yi; Yan, Xihong On a box-constrained linear symmetric cone optimization problem. (English) Zbl 1447.65010 J. Optim. Theory Appl. 181, No. 3, 946-971 (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 65K10 65K05 15B48 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{X. Yan}, J. Optim. Theory Appl. 181, No. 3, 946--971 (2019; Zbl 1447.65010) 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
Chen, Haibin; Wang, Yiju On computing minimal \(H\)-eigenvalue of sign-structured tensors. (English) Zbl 1401.65037 Front. Math. China 12, No. 6, 1289-1302 (2017). MSC: 65F15 15A18 15A69 90C30 PDFBibTeX XMLCite \textit{H. Chen} and \textit{Y. Wang}, Front. Math. China 12, No. 6, 1289--1302 (2017; Zbl 1401.65037) Full Text: DOI
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
Fawzi, Hamza; Parrilo, Pablo A. Self-scaled bounds for atomic cone ranks: applications to nonnegative rank and cp-rank. (English) Zbl 1346.90662 Math. Program. 158, No. 1-2 (A), 417-465 (2016). MSC: 90C25 15A23 15B48 PDFBibTeX XMLCite \textit{H. Fawzi} and \textit{P. A. Parrilo}, Math. Program. 158, No. 1--2 (A), 417--465 (2016; Zbl 1346.90662) 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
Dong, Bo; Yu, Yan; Tian, Dan Dan Alternating projection method for sparse model updating problems. (English) Zbl 1360.65111 J. Eng. Math. 93, 159-173 (2015). MSC: 65F18 15A22 PDFBibTeX XMLCite \textit{B. Dong} et al., J. Eng. Math. 93, 159--173 (2015; Zbl 1360.65111) Full Text: DOI
Fawzi, Hamza; Parrilo, Pablo A. Lower bounds on nonnegative rank via nonnegative nuclear norms. (English) Zbl 1327.90202 Math. Program. 153, No. 1 (B), 41-66 (2015). MSC: 90C25 15A23 15B48 PDFBibTeX XMLCite \textit{H. Fawzi} and \textit{P. A. Parrilo}, Math. Program. 153, No. 1 (B), 41--66 (2015; Zbl 1327.90202) 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
Bugarin, Florian; Bartoli, Adrien; Henrion, Didier; Lasserre, Jean-Bernard; Orteu, Jean-José; Sentenac, Thierry Rank-constrained fundamental matrix estimation by polynomial global optimization versus the eight-point algorithm. (English) Zbl 1330.68288 J. Math. Imaging Vis. 53, No. 1, 42-60 (2015). MSC: 68T45 15A45 65K05 90C26 PDFBibTeX XMLCite \textit{F. Bugarin} et al., J. Math. Imaging Vis. 53, No. 1, 42--60 (2015; Zbl 1330.68288) Full Text: DOI arXiv
Sloth, Christoffer; Wisniewski, Rafael Control to facet for polynomial systems. (English) Zbl 1362.93067 Proceedings of the 17th ACM international conference on hybrid systems: computation and control, HSCC 2014, Berlin, Germany, April 15–17, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2732-9). 123-132 (2014). MSC: 93C10 90C05 15B48 PDFBibTeX XMLCite \textit{C. Sloth} and \textit{R. Wisniewski}, in: Proceedings of the 17th ACM international conference on hybrid systems: computation and control, HSCC 2014, Berlin, Germany, April 15--17, 2014. New York, NY: Association for Computing Machinery (ACM). 123--132 (2014; Zbl 1362.93067) Full Text: DOI
Chen, Mei-Xiang An augmented Lagrangian dual optimization approach to the \(H\)-weighted model updating problem. (English) Zbl 1293.65054 J. Comput. Appl. Math. 268, 111-120 (2014). MSC: 65F15 65H17 15A18 15A29 90C22 PDFBibTeX XMLCite \textit{M.-X. Chen}, J. Comput. Appl. Math. 268, 111--120 (2014; Zbl 1293.65054) Full Text: DOI
Li, Guoyin; Qi, Liqun; Yu, Gaohang The \(Z\)-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory. (English) Zbl 1313.65081 Numer. Linear Algebra Appl. 20, No. 6, 1001-1029 (2013). MSC: 65F15 15A69 05C65 PDFBibTeX XMLCite \textit{G. Li} et al., Numer. Linear Algebra Appl. 20, No. 6, 1001--1029 (2013; Zbl 1313.65081) Full Text: DOI
Sponsel, Julia; Bundfuss, Stefan; Dür, Mirjam An improved algorithm to test copositivity. (English) Zbl 1250.65061 J. Glob. Optim. 52, No. 3, 537-551 (2012). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A63 15B48 05C69 90C09 90C22 PDFBibTeX XMLCite \textit{J. Sponsel} et al., J. Glob. Optim. 52, No. 3, 537--551 (2012; Zbl 1250.65061) Full Text: DOI
Yıldırım, E. Alper On the accuracy of uniform polyhedral approximations of the copositive cone. (English) Zbl 1247.90215 Optim. Methods Softw. 27, No. 1, 155-173 (2012). MSC: 90C25 90C05 90C20 15B48 05C69 PDFBibTeX XMLCite \textit{E. A. Yıldırım}, Optim. Methods Softw. 27, No. 1, 155--173 (2012; Zbl 1247.90215) Full Text: DOI Link
Ma, Yue; Zhi, Lihong The minimum-rank Gram matrix completion via modified fixed point continuation method. (English) Zbl 1323.65042 Leykin, Anton (ed.), Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7–11, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0675-1). 241-248 (2011). MSC: 65F30 15A83 15B48 68W30 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{L. Zhi}, in: Proceedings of the 36th international symposium on symbolic and algebraic computation, ISSAC 2011, San Jose, CA, USA, June 7--11, 2011. New York, NY: Association for Computing Machinery (ACM). 241--248 (2011; Zbl 1323.65042) Full Text: DOI arXiv
Burgdorf, Sabine Sums of Hermitian squares as an approach to the BMV conjecture. (English) Zbl 1229.13020 Linear Multilinear Algebra 59, No. 1-3, 1-9 (2011). Reviewer: Alexander Kovačec (Coimbra) MSC: 13J30 11E25 15A45 82B10 PDFBibTeX XMLCite \textit{S. Burgdorf}, Linear Multilinear Algebra 59, No. 1--3, 1--9 (2011; Zbl 1229.13020) Full Text: DOI arXiv
Sojoudi, Somayeh; Aghdam, Amir G. Interconnection-based performance analysis for a class of decentralized controllers. (English) Zbl 1191.93041 Automatica 46, No. 5, 796-803 (2010). MSC: 93B51 93A14 15A39 93A15 49N10 PDFBibTeX XMLCite \textit{S. Sojoudi} and \textit{A. G. Aghdam}, Automatica 46, No. 5, 796--803 (2010; Zbl 1191.93041) Full Text: DOI Link
Lin, Matthew M.; Dong, Bo; Chu, Moody T. Semi-definite programming techniques for structured quadratic inverse eigenvalue problems. (English) Zbl 1187.65036 Numer. Algorithms 53, No. 4, 419-437 (2010). MSC: 65F18 15A22 93B55 70J50 PDFBibTeX XMLCite \textit{M. M. Lin} et al., Numer. Algorithms 53, No. 4, 419--437 (2010; Zbl 1187.65036) Full Text: DOI Link
Das, Sonjoy; Ghanem, Roger A bounded random matrix approach for stochastic upscaling. (English) Zbl 1423.74967 Multiscale Model. Simul. 8, No. 1, 296-325 (2009). MSC: 74S60 74M25 15B52 PDFBibTeX XMLCite \textit{S. Das} and \textit{R. Ghanem}, Multiscale Model. Simul. 8, No. 1, 296--325 (2009; Zbl 1423.74967) Full Text: DOI Link
Mozelli, L. A.; Palhares, R. M.; Souza, F. O.; Mendes, E. M. A. M. Reducing conservativeness in recent stability conditions of TS fuzzy systems. (English) Zbl 1166.93344 Automatica 45, No. 6, 1580-1583 (2009). MSC: 93C42 93C10 15A39 93D05 PDFBibTeX XMLCite \textit{L. A. Mozelli} et al., Automatica 45, No. 6, 1580--1583 (2009; Zbl 1166.93344) Full Text: DOI
Oliveira, R. C. L. F.; Vargas, A. N.; do Val, J. B. R.; Peres, P. L. D. Robust stability, \({\mathcal H}_2\) analysis and stabilisation of discrete-time Markov jump linear systems with uncertain probability matrix. (English) Zbl 1168.93413 Int. J. Control 82, No. 3, 470-481 (2009). MSC: 93E12 60J75 93C55 93D09 15A39 PDFBibTeX XMLCite \textit{R. C. L. F. Oliveira} et al., Int. J. Control 82, No. 3, 470--481 (2009; Zbl 1168.93413) Full Text: DOI Link
Köroğlu, Hakan; Scherer, Carsten W. Generalized asymptotic regulation with guaranteed \({\mathcal H}_2\) performance: a LMI solution. (English) Zbl 1168.93342 Automatica 45, No. 3, 823-829 (2009). MSC: 93B50 15A39 93B35 PDFBibTeX XMLCite \textit{H. Köroğlu} and \textit{C. W. Scherer}, Automatica 45, No. 3, 823--829 (2009; Zbl 1168.93342) Full Text: DOI
Gerencsér, László; Hjalmarsson, Håkan; Mårtensson, Jonas Identification of ARX systems with non-stationary inputs – asymptotic analysis with application to adaptive input design. (English) Zbl 1168.93415 Automatica 45, No. 3, 623-633 (2009). MSC: 93E15 93C40 15A39 PDFBibTeX XMLCite \textit{L. Gerencsér} et al., Automatica 45, No. 3, 623--633 (2009; Zbl 1168.93415) Full Text: DOI
Abbaszadeh, Masoud; Marquez, Horacio J. LMI optimization approach to robust \(H_\infty\) observer design and static output feedback stabilization for discrete-time nonlinear uncertain systems. (English) Zbl 1163.93027 Int. J. Robust Nonlinear Control 19, No. 3, 313-340 (2009). MSC: 93D15 93B36 93C55 15A39 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{H. J. Marquez}, Int. J. Robust Nonlinear Control 19, No. 3, 313--340 (2009; Zbl 1163.93027) Full Text: DOI
Xue, Dingyü; Chen, Yang Quan Solving applied mathematical problems with Matlab. (English) Zbl 1156.00013 Boca Raton, FL: CRC Press (ISBN 978-1-4200-8250-0/hbk). xiv, 432 p. with CD-ROM. (2009). Reviewer: Răzvan Răducanu (Iaşi) MSC: 00A69 65-02 15-02 PDFBibTeX XMLCite \textit{D. Xue} and \textit{Y. Q. Chen}, Solving applied mathematical problems with Matlab. Boca Raton, FL: CRC Press (2009; Zbl 1156.00013)
Razavi-Panah, Jafar; Majd, Vahid Johari A robust multi-objective DPDC for uncertain T-S fuzzy systems. (English) Zbl 1170.93323 Fuzzy Sets Syst. 159, No. 20, 2749-2762 (2008). MSC: 93B55 93C42 15A39 93B35 PDFBibTeX XMLCite \textit{J. Razavi-Panah} and \textit{V. J. Majd}, Fuzzy Sets Syst. 159, No. 20, 2749--2762 (2008; Zbl 1170.93323) Full Text: DOI
Klep, Igor; Schweighofer, Markus Sums of Hermitian squares and the BMV conjecture. (English) Zbl 1158.15018 J. Stat. Phys. 133, No. 4, 739-760 (2008). MSC: 15A45 90C22 82B05 15B48 16S36 46L35 PDFBibTeX XMLCite \textit{I. Klep} and \textit{M. Schweighofer}, J. Stat. Phys. 133, No. 4, 739--760 (2008; Zbl 1158.15018) Full Text: DOI arXiv