Zhao, Jianxing; Liu, Pin; Sang, Caili Shifted inverse power method for computing the smallest M-eigenvalue of a fourth-order partially symmetric tensor. (English) Zbl 07814944 J. Optim. Theory Appl. 200, No. 3, 1131-1159 (2024). MSC: 15A18 15A69 74B20 PDFBibTeX XMLCite \textit{J. Zhao} et al., J. Optim. Theory Appl. 200, No. 3, 1131--1159 (2024; Zbl 07814944) Full Text: DOI
Behr, Florian; Dolzmann, Georg A note on Clarke’s generalized Jacobian for the inverse of bi-Lipschitz maps. (English) Zbl 07802210 J. Optim. Theory Appl. 200, No. 2, 852-857 (2024). MSC: 26B10 15Axx PDFBibTeX XMLCite \textit{F. Behr} and \textit{G. Dolzmann}, J. Optim. Theory Appl. 200, No. 2, 852--857 (2024; Zbl 07802210) Full Text: DOI OA License
Cui, Lu-Bin; Yao, Jia-Le; Yuan, Jin-Yun A projection method based on discrete normalized dynamical system for computing C-eigenpairs. (English) Zbl 07802207 J. Optim. Theory Appl. 200, No. 2, 768-793 (2024). MSC: 15A18 15A69 65F15 37M99 PDFBibTeX XMLCite \textit{L.-B. Cui} et al., J. Optim. Theory Appl. 200, No. 2, 768--793 (2024; Zbl 07802207) Full Text: DOI
Dargahi, Fatemeh; Babaie-Kafaki, Saman; Aminifard, Zohre Eigenvalue analyses on the memoryless Davidon-Fletcher-Powell method based on a spectral secant equation. (English) Zbl 07794719 J. Optim. Theory Appl. 200, No. 1, 394-403 (2024). MSC: 65K05 90C53 15A23 PDFBibTeX XMLCite \textit{F. Dargahi} et al., J. Optim. Theory Appl. 200, No. 1, 394--403 (2024; Zbl 07794719) Full Text: DOI
Bärmann, Andreas; Burlacu, Robert; Hager, Lukas; Kutzer, Katja An approximation algorithm for optimal piecewise linear interpolations of bounded variable products. (English) Zbl 07763157 J. Optim. Theory Appl. 199, No. 2, 569-599 (2023). MSC: 90C20 90C59 41A05 15A63 90C11 PDFBibTeX XMLCite \textit{A. Bärmann} et al., J. Optim. Theory Appl. 199, No. 2, 569--599 (2023; Zbl 07763157) Full Text: DOI OA License
Hu, Shanshan; Yuan, Yongxin Common solutions to the matrix equations \(AX=B\) and \(XC=D\) on a subspace. (English) Zbl 1519.15015 J. Optim. Theory Appl. 198, No. 1, 372-386 (2023). MSC: 15A24 65F45 PDFBibTeX XMLCite \textit{S. Hu} and \textit{Y. Yuan}, J. Optim. Theory Appl. 198, No. 1, 372--386 (2023; Zbl 1519.15015) Full Text: DOI
Wang, Qingsong; Cui, Chunfeng; Han, Deren Accelerated doubly stochastic gradient descent for tensor CP decomposition. (English) Zbl 1515.65110 J. Optim. Theory Appl. 197, No. 2, 665-704 (2023). MSC: 65F99 15A69 90C26 90C30 PDFBibTeX XMLCite \textit{Q. Wang} et al., J. Optim. Theory Appl. 197, No. 2, 665--704 (2023; Zbl 1515.65110) Full Text: DOI
Ding, Minghui; Wei, Yimin; Xie, Pengpeng A randomized singular value decomposition for third-order oriented tensors. (English) Zbl 1515.65106 J. Optim. Theory Appl. 197, No. 1, 358-382 (2023). MSC: 65F99 15A69 65F15 PDFBibTeX XMLCite \textit{M. Ding} et al., J. Optim. Theory Appl. 197, No. 1, 358--382 (2023; Zbl 1515.65106) Full Text: DOI arXiv
Wang, Xuezhong; Wei, Ping; Wei, Yimin A fixed point iterative method for third-order tensor linear complementarity problems. (English) Zbl 1515.90143 J. Optim. Theory Appl. 197, No. 1, 334-357 (2023). MSC: 90C33 15A18 15A69 65F10 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Optim. Theory Appl. 197, No. 1, 334--357 (2023; Zbl 1515.90143) Full Text: DOI
Hoheisel, Tim; Paquette, Elliot Uniqueness in nuclear norm minimization: flatness of the nuclear norm sphere and simultaneous polarization. (English) Zbl 1514.15029 J. Optim. Theory Appl. 197, No. 1, 252-276 (2023). MSC: 15A60 15A45 15A18 47N10 49N05 65K05 90C25 90C27 PDFBibTeX XMLCite \textit{T. Hoheisel} and \textit{E. Paquette}, J. Optim. Theory Appl. 197, No. 1, 252--276 (2023; Zbl 1514.15029) Full Text: DOI
Song, Yisheng; Li, Xudong Copositivity for a class of fourth-order symmetric tensors given by scalar dark matter. (English) Zbl 1502.90121 J. Optim. Theory Appl. 195, No. 1, 334-346 (2022). MSC: 90C23 15A63 81T32 70S20 15A72 47H09 15B48 47H07 PDFBibTeX XMLCite \textit{Y. Song} and \textit{X. Li}, J. Optim. Theory Appl. 195, No. 1, 334--346 (2022; Zbl 1502.90121) Full Text: DOI arXiv
Che, Maolin; Chen, Juefei; Wei, Yimin Perturbations of the Tcur decomposition for tensor valued data in the Tucker format. (English) Zbl 1494.15024 J. Optim. Theory Appl. 194, No. 3, 852-877 (2022). MSC: 15A69 15A23 65F10 65F15 PDFBibTeX XMLCite \textit{M. Che} et al., J. Optim. Theory Appl. 194, No. 3, 852--877 (2022; Zbl 1494.15024) Full Text: DOI
Yang, Yuning On approximation algorithm for orthogonal low-rank tensor approximation. (English) Zbl 1493.90154 J. Optim. Theory Appl. 194, No. 3, 821-851 (2022). MSC: 90C26 15A18 15A69 41A50 PDFBibTeX XMLCite \textit{Y. Yang}, J. Optim. Theory Appl. 194, No. 3, 821--851 (2022; Zbl 1493.90154) Full Text: DOI arXiv
Cánovas, M. J.; Gisbert, M. J.; Klatte, D.; Parra, J. Projection-based local and global Lipschitz moduli of the optimal value in linear programming. (English) Zbl 1492.90179 J. Optim. Theory Appl. 193, No. 1-3, 280-299 (2022). MSC: 90C31 49J53 49K40 90C05 15A60 PDFBibTeX XMLCite \textit{M. J. Cánovas} et al., J. Optim. Theory Appl. 193, No. 1--3, 280--299 (2022; Zbl 1492.90179) Full Text: DOI
Wu, Fengsheng; Li, Chaoqian; Li, Yaotang Manifold regularization nonnegative triple decomposition of tensor sets for image compression and representation. (English) Zbl 1484.65032 J. Optim. Theory Appl. 192, No. 3, 979-1000 (2022). MSC: 65D15 65F10 65F55 15A69 94A08 PDFBibTeX XMLCite \textit{F. Wu} et al., J. Optim. Theory Appl. 192, No. 3, 979--1000 (2022; Zbl 1484.65032) Full Text: DOI
Du, Shouqiang; Cui, Liyuan; Chen, Yuanyuan; Wei, Yimin Stochastic tensor complementarity problem with discrete distribution. (English) Zbl 1485.15033 J. Optim. Theory Appl. 192, No. 3, 912-929 (2022). MSC: 15A69 15B52 90C33 PDFBibTeX XMLCite \textit{S. Du} et al., J. Optim. Theory Appl. 192, No. 3, 912--929 (2022; Zbl 1485.15033) Full Text: DOI
Yang, Yuning; Liang, Chang Computing the largest C-eigenvalue of a tensor using convex relaxation. (English) Zbl 1484.15032 J. Optim. Theory Appl. 192, No. 2, 648-677 (2022). MSC: 15A69 15A18 65K05 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{C. Liang}, J. Optim. Theory Appl. 192, No. 2, 648--677 (2022; Zbl 1484.15032) Full Text: DOI
Cui, Lu-Bin; Fan, Yu-Dong; Song, Yi-Sheng; Wu, Shi-Liang The existence and uniqueness of solution for tensor complementarity problem and related systems. (English) Zbl 1481.15026 J. Optim. Theory Appl. 192, No. 1, 321-334 (2022). MSC: 15A69 15A24 65F08 PDFBibTeX XMLCite \textit{L.-B. Cui} et al., J. Optim. Theory Appl. 192, No. 1, 321--334 (2022; Zbl 1481.15026) Full Text: DOI
Grussler, Christian; Giselsson, Pontus Efficient proximal mapping computation for low-rank inducing norms. (English) Zbl 1484.90044 J. Optim. Theory Appl. 192, No. 1, 168-194 (2022). MSC: 90C06 90C25 90C26 15A83 90C30 90C59 90C90 PDFBibTeX XMLCite \textit{C. Grussler} and \textit{P. Giselsson}, J. Optim. Theory Appl. 192, No. 1, 168--194 (2022; Zbl 1484.90044) Full Text: DOI arXiv
Palpandi, K.; Sharma, Sonali Tensor complementarity problems with finite solution sets. (English) Zbl 1475.15031 J. Optim. Theory Appl. 190, No. 3, 951-965 (2021). MSC: 15A69 90C33 PDFBibTeX XMLCite \textit{K. Palpandi} and \textit{S. Sharma}, J. Optim. Theory Appl. 190, No. 3, 951--965 (2021; Zbl 1475.15031) Full Text: DOI
Li, Dong-Hui; Xu, Jie-Feng; Guan, Hong-Bo Newton’s method for M-tensor equations. (English) Zbl 1472.65059 J. Optim. Theory Appl. 190, No. 2, 628-649 (2021). MSC: 65H10 65K10 15A69 90C33 PDFBibTeX XMLCite \textit{D.-H. Li} et al., J. Optim. Theory Appl. 190, No. 2, 628--649 (2021; Zbl 1472.65059) Full Text: DOI arXiv
Leventides, J.; Kollias, H.; Camouzis, E.; Livada, M. Grassmann inequalities and extremal varieties in \(\mathbb{P}\left(\bigwedge^p\mathbb{R}^n\right)\). (English) Zbl 1479.15029 J. Optim. Theory Appl. 189, No. 3, 836-853 (2021). Reviewer: Sergi Simon (Portsmouth) MSC: 15A69 47A07 93C35 PDFBibTeX XMLCite \textit{J. Leventides} et al., J. Optim. Theory Appl. 189, No. 3, 836--853 (2021; Zbl 1479.15029) Full Text: DOI
Du, Shouqiang; Ding, Weiyang; Wei, Yimin Acceptable solutions and backward errors for tensor complementarity problems. (English) Zbl 1471.90147 J. Optim. Theory Appl. 188, No. 1, 260-276 (2021). Reviewer: Bing Tan (Chengdu) MSC: 90C33 15A69 PDFBibTeX XMLCite \textit{S. Du} et al., J. Optim. Theory Appl. 188, No. 1, 260--276 (2021; Zbl 1471.90147) Full Text: DOI
Lin, Li-Gang; Liang, Yew-Wen; Hsieh, Wen-Yuan Convex quadratic equation. (English) Zbl 1447.15010 J. Optim. Theory Appl. 186, No. 3, 1006-1028 (2020). Reviewer: George Stoica (Saint John) MSC: 15A24 49J20 49N35 52A41 93C10 93C35 PDFBibTeX XMLCite \textit{L.-G. Lin} et al., J. Optim. Theory Appl. 186, No. 3, 1006--1028 (2020; Zbl 1447.15010) Full Text: DOI
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
Mei, Wei; Yang, Qingzhi Properties of structured tensors and complementarity problems. (English) Zbl 1442.15044 J. Optim. Theory Appl. 185, No. 1, 99-114 (2020). MSC: 15A69 15A60 15A45 90C33 PDFBibTeX XMLCite \textit{W. Mei} and \textit{Q. Yang}, J. Optim. Theory Appl. 185, No. 1, 99--114 (2020; Zbl 1442.15044) Full Text: DOI
Guan, Hong-Bo; Li, Dong-Hui Linearized methods for tensor complementarity problems. (English) Zbl 1432.65081 J. Optim. Theory Appl. 184, No. 3, 972-987 (2020). MSC: 65K10 15A69 90C33 PDFBibTeX XMLCite \textit{H.-B. Guan} and \textit{D.-H. Li}, J. Optim. Theory Appl. 184, No. 3, 972--987 (2020; Zbl 1432.65081) Full Text: DOI
Hieu, Vu Trung; Wei, Yimin; Yao, Jen-Chih Notes on the optimization problems corresponding to polynomial complementarity problems. (English) Zbl 1433.90168 J. Optim. Theory Appl. 184, No. 2, 687-695 (2020). MSC: 90C33 15A69 49J40 65K15 PDFBibTeX XMLCite \textit{V. T. Hieu} et al., J. Optim. Theory Appl. 184, No. 2, 687--695 (2020; Zbl 1433.90168) Full Text: DOI
Cao, Mingyuan; Huang, Qingdao; Li, Chaoqian; Yang, Yueting A subspace modified Broyden-Fletcher-Goldfarb-Shanno method for \(\mathcal{B} \)-eigenvalues of symmetric tensors. (English) Zbl 1432.65042 J. Optim. Theory Appl. 184, No. 2, 419-432 (2020). MSC: 65F15 15A18 15A69 90C55 PDFBibTeX XMLCite \textit{M. Cao} et al., J. Optim. Theory Appl. 184, No. 2, 419--432 (2020; Zbl 1432.65042) 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
Yao, Yu; Zhao, Junhui; Wu, Lenan Cognitive design of radar waveform and the receive filter for multitarget parameter estimation. (English) Zbl 1423.94028 J. Optim. Theory Appl. 181, No. 2, 684-705 (2019). MSC: 94A12 15A24 81P40 PDFBibTeX XMLCite \textit{Y. Yao} et al., J. Optim. Theory Appl. 181, No. 2, 684--705 (2019; Zbl 1423.94028) Full Text: DOI
Butkovič, Peter A note on tropical linear and integer programs. (English) Zbl 1436.90102 J. Optim. Theory Appl. 180, No. 3, 1011-1026 (2019). MSC: 90C24 90C05 90C10 90C46 15A18 15A80 PDFBibTeX XMLCite \textit{P. Butkovič}, J. Optim. Theory Appl. 180, No. 3, 1011--1026 (2019; Zbl 1436.90102) Full Text: DOI arXiv
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
Yang, Qingzhi; Zhou, Yang; Yang, Yuning An extension of Yuan’s lemma to fourth-order tensor system. (English) Zbl 1409.90219 J. Optim. Theory Appl. 180, No. 3, 803-810 (2019). MSC: 90C46 49N15 15A72 PDFBibTeX XMLCite \textit{Q. Yang} et al., J. Optim. Theory Appl. 180, No. 3, 803--810 (2019; Zbl 1409.90219) Full Text: DOI
Zhang, Mengshi; Zhang, Xinzhen; Ni, Guyan Calculating entanglement eigenvalues for nonsymmetric quantum pure states based on the Jacobian semidefinite programming relaxation method. (English) Zbl 1410.81010 J. Optim. Theory Appl. 180, No. 3, 787-802 (2019). MSC: 81P40 15A18 15A69 90C22 49M20 PDFBibTeX XMLCite \textit{M. Zhang} et al., J. Optim. Theory Appl. 180, No. 3, 787--802 (2019; Zbl 1410.81010) Full Text: DOI arXiv
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
Zheng, Ya-nan; Wu, Wei On a class of semi-positive tensors in tensor complementarity problem. (English) Zbl 1388.15023 J. Optim. Theory Appl. 177, No. 1, 127-136 (2018). MSC: 15A69 15A18 15A72 90C33 PDFBibTeX XMLCite \textit{Y.-n. Zheng} and \textit{W. Wu}, J. Optim. Theory Appl. 177, No. 1, 127--136 (2018; Zbl 1388.15023) Full Text: DOI
Behling, Roger; Haeser, Gabriel; Ramos, Alberto; Viana, Daiana S. On a conjecture in second-order optimality conditions. (English) Zbl 1392.90123 J. Optim. Theory Appl. 176, No. 3, 625-633 (2018). MSC: 90C46 90C30 15B10 PDFBibTeX XMLCite \textit{R. Behling} et al., J. Optim. Theory Appl. 176, No. 3, 625--633 (2018; Zbl 1392.90123) Full Text: DOI arXiv
Song, Yisheng; Mei, Wei Structural properties of tensors and complementarity problems. (English) Zbl 06859628 J. Optim. Theory Appl. 176, No. 2, 289-305 (2018). MSC: 47H15 47H12 34B10 47A52 47J10 47H09 15A48 47H07 PDFBibTeX XMLCite \textit{Y. Song} and \textit{W. Mei}, J. Optim. Theory Appl. 176, No. 2, 289--305 (2018; Zbl 06859628) Full Text: DOI arXiv
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
Xie, Shui-Lian; Li, Dong-Hui; Xu, Hong-Ru An iterative method for finding the least solution to the tensor complementarity problem. (English) Zbl 1375.90291 J. Optim. Theory Appl. 175, No. 1, 119-136 (2017). MSC: 90C33 15A72 65N12 PDFBibTeX XMLCite \textit{S.-L. Xie} et al., J. Optim. Theory Appl. 175, No. 1, 119--136 (2017; Zbl 1375.90291) Full Text: DOI
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
Belachew, Melisew Tefera; Gillis, Nicolas Solving the maximum clique problem with symmetric rank-one non-negative matrix approximation. (English) Zbl 1380.65100 J. Optim. Theory Appl. 173, No. 1, 279-296 (2017). Reviewer: Vasilis Dimitriou (Chania) MSC: 65K05 15A23 90C26 90C27 90C35 PDFBibTeX XMLCite \textit{M. T. Belachew} and \textit{N. Gillis}, J. Optim. Theory Appl. 173, No. 1, 279--296 (2017; Zbl 1380.65100) Full Text: DOI arXiv
Rodríguez, Margarita M. L.; Vicente-Pérez, José On finite linear systems containing strict inequalities. (English) Zbl 1373.15029 J. Optim. Theory Appl. 173, No. 1, 131-154 (2017). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A39 49N15 52B99 15A06 PDFBibTeX XMLCite \textit{M. M. L. Rodríguez} and \textit{J. Vicente-Pérez}, J. Optim. Theory Appl. 173, No. 1, 131--154 (2017; Zbl 1373.15029) Full Text: DOI Link
Kum, Sangho; Yun, Sangwoon Incremental gradient method for Karcher mean on symmetric cones. (English) Zbl 1432.65056 J. Optim. Theory Appl. 172, No. 1, 141-155 (2017). MSC: 65F99 15B48 65K05 90C25 PDFBibTeX XMLCite \textit{S. Kum} and \textit{S. Yun}, J. Optim. Theory Appl. 172, No. 1, 141--155 (2017; Zbl 1432.65056) Full Text: DOI
Baccari, Abdeljelil; Naffouti, Mourad Copositivity and sparsity relations using spectral properties. (English) Zbl 1354.90134 J. Optim. Theory Appl. 171, No. 3, 998-1007 (2016). MSC: 90C30 90C20 49K10 15A18 PDFBibTeX XMLCite \textit{A. Baccari} and \textit{M. Naffouti}, J. Optim. Theory Appl. 171, No. 3, 998--1007 (2016; Zbl 1354.90134) Full Text: DOI
Hajarian, Masoud Least squares solution of the linear operator equation. (English) Zbl 1350.65032 J. Optim. Theory Appl. 170, No. 1, 205-219 (2016). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 15A06 15A24 PDFBibTeX XMLCite \textit{M. Hajarian}, J. Optim. Theory Appl. 170, No. 1, 205--219 (2016; Zbl 1350.65032) Full Text: DOI
Song, Yisheng; Yu, Gaohang Properties of solution set of tensor complementarity problem. (English) Zbl 1351.90156 J. Optim. Theory Appl. 170, No. 1, 85-96 (2016). MSC: 90C33 15A69 PDFBibTeX XMLCite \textit{Y. Song} and \textit{G. Yu}, J. Optim. Theory Appl. 170, No. 1, 85--96 (2016; Zbl 1351.90156) Full Text: DOI arXiv
Bai, Xue-Li; Huang, Zheng-Hai; Wang, Yong Global uniqueness and solvability for tensor complementarity problems. (English) Zbl 1344.90056 J. Optim. Theory Appl. 170, No. 1, 72-84 (2016). MSC: 90C33 65K10 15A18 15A69 65F15 65F10 PDFBibTeX XMLCite \textit{X.-L. Bai} et al., J. Optim. Theory Appl. 170, No. 1, 72--84 (2016; Zbl 1344.90056) 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
Newby, Eric; Ali, M. Montaz Transformation-based preprocessing for mixed-integer quadratic programs. (English) Zbl 1338.90276 J. Optim. Theory Appl. 168, No. 3, 1039-1045 (2016). MSC: 90C11 90C20 90C26 15A04 PDFBibTeX XMLCite \textit{E. Newby} and \textit{M. M. Ali}, J. Optim. Theory Appl. 168, No. 3, 1039--1045 (2016; Zbl 1338.90276) Full Text: DOI
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
Haghani, Farhad Khaksar On generalized Traub’s method for absolute value equations. (English) Zbl 1391.65106 J. Optim. Theory Appl. 166, No. 2, 619-625 (2015). MSC: 65F30 65H05 65B99 15A99 PDFBibTeX XMLCite \textit{F. K. Haghani}, J. Optim. Theory Appl. 166, No. 2, 619--625 (2015; Zbl 1391.65106) Full Text: DOI
Shao, Yuan-Hai; Deng, Nai-Yang The equivalence between principal component analysis and nearest flat in the least square sense. (English) Zbl 1322.15005 J. Optim. Theory Appl. 166, No. 1, 278-284 (2015). MSC: 15A18 68T05 62H25 PDFBibTeX XMLCite \textit{Y.-H. Shao} and \textit{N.-Y. Deng}, J. Optim. Theory Appl. 166, No. 1, 278--284 (2015; Zbl 1322.15005) Full Text: DOI
Butkovic, P.; MacCaig, M. A strongly polynomial method for solving integer max-linear optimization problems in a generic case. (English) Zbl 1323.65067 J. Optim. Theory Appl. 165, No. 3, 941-963 (2015). Reviewer: Armin Hoffmann (Ilmenau) MSC: 65K05 15A80 90B35 90C08 90C10 PDFBibTeX XMLCite \textit{P. Butkovic} and \textit{M. MacCaig}, J. Optim. Theory Appl. 165, No. 3, 941--963 (2015; Zbl 1323.65067) Full Text: DOI
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
Xiong, Zhiping; Qin, Yingying Extremal ranks of some nonlinear matrix expressions with applications. (English) Zbl 1319.90067 J. Optim. Theory Appl. 163, No. 2, 595-613 (2014). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C30 15A03 PDFBibTeX XMLCite \textit{Z. Xiong} and \textit{Y. Qin}, J. Optim. Theory Appl. 163, No. 2, 595--613 (2014; Zbl 1319.90067) Full Text: DOI
Li, Chengjin A new approximation of the matrix rank function and its application to matrix rank minimization. (English) Zbl 1317.90280 J. Optim. Theory Appl. 163, No. 2, 569-594 (2014). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C30 15A15 90C52 PDFBibTeX XMLCite \textit{C. Li}, J. Optim. Theory Appl. 163, No. 2, 569--594 (2014; Zbl 1317.90280) Full Text: DOI
Hiriart-Urruty, Jean-Baptiste; Malick, Jérôme A fresh variational-analysis look at the positive semidefinite matrices world. (English) Zbl 1254.90166 J. Optim. Theory Appl. 153, No. 3, 551-577 (2012). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 90C25 15B48 15B57 15A18 PDFBibTeX XMLCite \textit{J.-B. Hiriart-Urruty} and \textit{J. Malick}, J. Optim. Theory Appl. 153, No. 3, 551--577 (2012; Zbl 1254.90166) Full Text: DOI HAL
Liu, Yonghui; Tian, Yongge Max-min problems on the ranks and inertias of the matrix expressions \(A - BXC \pm (BXC)^{\ast}\) with applications. (English) Zbl 1223.90077 J. Optim. Theory Appl. 148, No. 3, 593-622 (2011). Reviewer: Zhang Xian (Xiamen) MSC: 90C47 15A09 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{Y. Tian}, J. Optim. Theory Appl. 148, No. 3, 593--622 (2011; Zbl 1223.90077) Full Text: DOI
Mahmoud, M. S.; Shi, P.; Saif, A. W. A. Stabilization of linear switched delay systems: \(\mathcal H_{2}\) and \(\mathcal H_{\infty }\) methods. (English) Zbl 1178.93057 J. Optim. Theory Appl. 142, No. 3, 583-601 (2009). MSC: 93B50 93B52 93B36 93D30 15A39 PDFBibTeX XMLCite \textit{M. S. Mahmoud} et al., J. Optim. Theory Appl. 142, No. 3, 583--601 (2009; Zbl 1178.93057) Full Text: DOI
Ramanathan, K.; Sivakumar, K. C. Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space. (English) Zbl 1176.15007 J. Optim. Theory Appl. 140, No. 1, 189-196 (2009). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A09 15A63 15B48 PDFBibTeX XMLCite \textit{K. Ramanathan} and \textit{K. C. Sivakumar}, J. Optim. Theory Appl. 140, No. 1, 189--196 (2009; Zbl 1176.15007) Full Text: DOI
Tao, J. Positive principal minor property of linear transformations on Euclidean Jordan algebras. (English) Zbl 1183.17015 J. Optim. Theory Appl. 140, No. 1, 131-152 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 17C50 15A30 PDFBibTeX XMLCite \textit{J. Tao}, J. Optim. Theory Appl. 140, No. 1, 131--152 (2009; Zbl 1183.17015) Full Text: DOI
Nam, P. T.; Phat, V. N. Robust stabilization of linear systems with delayed state and control. (English) Zbl 1159.93027 J. Optim. Theory Appl. 140, No. 2, 287-299 (2009). MSC: 93D21 93C05 93C15 15A39 93D09 PDFBibTeX XMLCite \textit{P. T. Nam} and \textit{V. N. Phat}, J. Optim. Theory Appl. 140, No. 2, 287--299 (2009; Zbl 1159.93027) Full Text: DOI
Kwon, O. M.; Park, J. H. Exponential stability for time-delay systems with interval time-varying delays and nonlinear perturbations. (English) Zbl 1159.93025 J. Optim. Theory Appl. 139, No. 2, 277-293 (2008). MSC: 93D20 93C73 93C10 93D05 93C15 15A39 PDFBibTeX XMLCite \textit{O. M. Kwon} and \textit{J. H. Park}, J. Optim. Theory Appl. 139, No. 2, 277--293 (2009; Zbl 1159.93025) Full Text: DOI
Kurmayya, T.; Sivakumar, K. C. Moore-Penrose inverse of a Gram matrix and its nonnegativity. (English) Zbl 1173.15001 J. Optim. Theory Appl. 139, No. 1, 201-207 (2008). Reviewer: Jinhai Chen (Hongkong) MSC: 15A09 15B48 PDFBibTeX XMLCite \textit{T. Kurmayya} and \textit{K. C. Sivakumar}, J. Optim. Theory Appl. 139, No. 1, 201--207 (2008; Zbl 1173.15001) Full Text: DOI
Fasano, G. Lanczos conjugate-gradient method and pseudoinverse computation on indefinite and singular systems. (English) Zbl 1151.65023 J. Optim. Theory Appl. 132, No. 2, 267-285 (2007). Reviewer: Iulian Coroian (Baia Mare) MSC: 65F10 65F35 15A09 65F20 90C20 65K05 PDFBibTeX XMLCite \textit{G. Fasano}, J. Optim. Theory Appl. 132, No. 2, 267--285 (2007; Zbl 1151.65023) Full Text: DOI
Sivakumar, K. C. Proof by verification of the Greville/Udwadia/Kalaba formula for the Moore-Penrose inverse of a matrix. (English) Zbl 1147.15301 J. Optim. Theory Appl. 131, No. 2, 307-311 (2006). MSC: 15A09 PDFBibTeX XMLCite \textit{K. C. Sivakumar}, J. Optim. Theory Appl. 131, No. 2, 307--311 (2006; Zbl 1147.15301) Full Text: DOI
Udwadia, F. E.; Phohomsiri, P. Recursive formulas for the generalized \(LM\)-inverse of a matrix. (English) Zbl 1115.15003 J. Optim. Theory Appl. 131, No. 1, 1-16 (2006). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A09 15A03 15A06 PDFBibTeX XMLCite \textit{F. E. Udwadia} and \textit{P. Phohomsiri}, J. Optim. Theory Appl. 131, No. 1, 1--16 (2006; Zbl 1115.15003) Full Text: DOI
Udwadia, F. E.; Phohomsiri, P. Recursive determination of the generalized Moore-Penrose \(M\)-inverse of a matrix. (English) Zbl 1100.65040 J. Optim. Theory Appl. 127, No. 3, 639-663 (2005). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 65F10 15A09 PDFBibTeX XMLCite \textit{F. E. Udwadia} and \textit{P. Phohomsiri}, J. Optim. Theory Appl. 127, No. 3, 639--663 (2005; Zbl 1100.65040) Full Text: DOI
Itiki, C. Dynamic programming and diagnostic classification. (English) Zbl 1131.92037 J. Optim. Theory Appl. 127, No. 3, 579-586 (2005). MSC: 92C55 92C50 90C39 15A09 62H30 PDFBibTeX XMLCite \textit{C. Itiki}, J. Optim. Theory Appl. 127, No. 3, 579--586 (2005; Zbl 1131.92037) Full Text: DOI
Fan, Y. Y.; Kalaba, R. E.; Natsuyama, H. H.; Udwadia, F. E. Reflections on the Gauss principle of least constraint. (English) Zbl 1096.70008 J. Optimization Theory Appl. 127, No. 3, 475-484 (2005). MSC: 70H30 70F25 15A90 15A09 PDFBibTeX XMLCite \textit{Y. Y. Fan} et al., J. Optim. Theory Appl. 127, No. 3, 475--484 (2005; Zbl 1096.70008) Full Text: DOI HAL
Lam, J.; Gao, H.; Xu, S.; Wang, C. \(\mathcal H_\infty\) and \(\mathcal L_2/\mathcal L_\infty\) model reduction for system input with sector nonlinearities. (English) Zbl 1062.93020 J. Optimization Theory Appl. 125, No. 1, 137-155 (2005). MSC: 93B36 93B11 15A39 65F10 PDFBibTeX XMLCite \textit{J. Lam} et al., J. Optim. Theory Appl. 125, No. 1, 137--155 (2005; Zbl 1062.93020) Full Text: DOI
Park, J. H. Delay-dependent criterion for guaranteed cost control of neutral delay systems. (English) Zbl 1070.93039 J. Optimization Theory Appl. 124, No. 2, 491-502 (2005). Reviewer: Vladimir Răsvan (Craiova) MSC: 93D15 34K40 93C23 93D30 15A39 PDFBibTeX XMLCite \textit{J. H. Park}, J. Optim. Theory Appl. 124, No. 2, 491--502 (2005; Zbl 1070.93039) Full Text: DOI
Goberna, M. A.; Hernández, L.; Todorov, M. I. On linear inequality systems with smooth coefficients. (English) Zbl 1070.15012 J. Optimization Theory Appl. 124, No. 2, 363-386 (2005). Reviewer: Martín Argerami (Regina) MSC: 15A39 90C05 90C34 PDFBibTeX XMLCite \textit{M. A. Goberna} et al., J. Optim. Theory Appl. 124, No. 2, 363--386 (2005; Zbl 1070.15012) Full Text: DOI
Park, J. H. On dynamic output feedback guaranteed cost control of uncertain discrete-delay systems: LMI optimization approach. (English) Zbl 1061.93079 J. Optimization Theory Appl. 121, No. 1, 147-162 (2004). Reviewer: Didier Henrion (Toulouse) MSC: 93D09 15A39 93C55 93B40 PDFBibTeX XMLCite \textit{J. H. Park}, J. Optim. Theory Appl. 121, No. 1, 147--162 (2004; Zbl 1061.93079) Full Text: DOI
Lee, C. H. Solution bounds of the continuous and discrete Lyapunov matrix equations. (English) Zbl 1067.93032 J. Optimization Theory Appl. 120, No. 3, 559-578 (2004). Reviewer: A. Šwierniak (Gliwice) MSC: 93B25 93D09 15A24 PDFBibTeX XMLCite \textit{C. H. Lee}, J. Optim. Theory Appl. 120, No. 3, 559--578 (2004; Zbl 1067.93032) Full Text: DOI
Udwadia, F. E.; Kalaba, R. E. Sequential determination of the \(\{1, 4\}\)-inverse of a matrix. (English) Zbl 1040.65033 J. Optimization Theory Appl. 117, No. 1, 1-7 (2003). Reviewer: Rafael Bru (Valencia) MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{F. E. Udwadia} and \textit{R. E. Kalaba}, J. Optim. Theory Appl. 117, No. 1, 1--7 (2003; Zbl 1040.65033) Full Text: DOI
Wang, Z.; Burnham, K. J. LMI approach to output feedback control for linear uncertain systems with D-stability constraints. (English) Zbl 1009.93035 J. Optimization Theory Appl. 113, No. 2, 357-372 (2002). Reviewer: Ernst G.Al’brekht (Ekaterinburg) MSC: 93B55 93B35 15A39 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{K. J. Burnham}, J. Optim. Theory Appl. 113, No. 2, 357--372 (2002; Zbl 1009.93035) Full Text: DOI
Yu, L.; Gao, F. Output feedback guaranteed cost control for uncertain discrete-time systems using linear matrix inequalities. (English) Zbl 1001.93022 J. Optimization Theory Appl. 113, No. 3, 621-634 (2002). Reviewer: Didier Henrion (Toulouse) MSC: 93B50 93D21 15A39 93B51 93C55 PDFBibTeX XMLCite \textit{L. Yu} and \textit{F. Gao}, J. Optim. Theory Appl. 113, No. 3, 621--634 (2002; Zbl 1001.93022) Full Text: DOI
Park, J. H. Robust decentralized stabilization of uncertain large-scale discrete-time systems with delays. (English) Zbl 1006.93063 J. Optimization Theory Appl. 113, No. 1, 105-119 (2002). Reviewer: Vladimir Răsvan (Craiova) MSC: 93D21 93C55 93A14 93A15 15A39 PDFBibTeX XMLCite \textit{J. H. Park}, J. Optim. Theory Appl. 113, No. 1, 105--119 (2002; Zbl 1006.93063) Full Text: DOI
Liu, H. W.; Liu, S. Y. Negative answer to the conjecture on the convexity of the greatest eigenvalue. (English) Zbl 1035.15011 J. Optimization Theory Appl. 110, No. 3, 677-679 (2001). Reviewer: Václav Burjan (Praha) MSC: 15A18 15A54 PDFBibTeX XMLCite \textit{H. W. Liu} and \textit{S. Y. Liu}, J. Optim. Theory Appl. 110, No. 3, 677--679 (2001; Zbl 1035.15011) Full Text: DOI
Benjelloun, K.; Boukas, E. K.; Costa, O. L. V. \(H_\infty\)-control for linear time-delay systems with Markovian jumping parameters. (English) Zbl 0971.93027 J. Optimization Theory Appl. 105, No. 1, 73-95 (2000). Reviewer: Yu.S.Mishura (Kyïv) MSC: 93B36 93D21 93C23 15A39 PDFBibTeX XMLCite \textit{K. Benjelloun} et al., J. Optim. Theory Appl. 105, No. 1, 73--95 (2000; Zbl 0971.93027) Full Text: DOI
Palhares, R. M.; Peres, P. L. D. Robust \({\mathcal H}_\infty\)-filtering design with pole placement constraint via linear matrix inequalities. (English) Zbl 0941.93018 J. Optimization Theory Appl. 102, No. 2, 239-261 (1999). Reviewer: M.M.Konstantinov (Sofia) MSC: 93B36 93B55 15A39 PDFBibTeX XMLCite \textit{R. M. Palhares} and \textit{P. L. D. Peres}, J. Optim. Theory Appl. 102, No. 2, 239--261 (1999; Zbl 0941.93018) Full Text: DOI
Mahmoud, M. S.; Zribi, M. \(H_{\infty}\)-controllers for time-delay systems using linear matrix inequalities. (English) Zbl 0927.93024 J. Optimization Theory Appl. 100, No. 1, 89-122 (1999). Reviewer: A.Šwierniak (Gliwice) MSC: 93B36 34K35 93B50 15A39 PDFBibTeX XMLCite \textit{M. S. Mahmoud} and \textit{M. Zribi}, J. Optim. Theory Appl. 100, No. 1, 89--122 (1999; Zbl 0927.93024) Full Text: DOI
Dax, A. Methods of calculating \(l_ p\)-minimum norm solutions of consistent linear systems. (English) Zbl 0831.90102 J. Optimization Theory Appl. 83, No. 2, 333-354 (1994). Reviewer: J.Rohn (Praha) MSC: 90C30 15A60 65F35 PDFBibTeX XMLCite \textit{A. Dax}, J. Optim. Theory Appl. 83, No. 2, 333--354 (1994; Zbl 0831.90102) Full Text: DOI
Yang, K.; Murty, K. G. New iterative methods for linear inequalities. (English) Zbl 0793.90035 J. Optimization Theory Appl. 72, No. 1, 163-185 (1992). MSC: 90C05 65F10 15A39 PDFBibTeX XMLCite \textit{K. Yang} and \textit{K. G. Murty}, J. Optim. Theory Appl. 72, No. 1, 163--185 (1992; Zbl 0793.90035) Full Text: DOI
Marchi, E.; Neme, A.; Tarazaga, P. Extremality of stochastic matrices in nonusual cones. (English) Zbl 0679.15019 J. Optimization Theory Appl. 66, No. 1, 47-59 (1990). Reviewer: E.Marchi MSC: 15B51 15A30 06F25 06F20 PDFBibTeX XMLCite \textit{E. Marchi} et al., J. Optim. Theory Appl. 66, No. 1, 47--59 (1990; Zbl 0679.15019) Full Text: DOI
Keerthi, S. S.; Sridharan, K. Solution of parametrized linear inequalities by Fourier elimination and its applications. (English) Zbl 0672.90083 J. Optimization Theory Appl. 65, No. 1, 161-169 (1990). Reviewer: S.S.Keerthi MSC: 90C05 90C31 15A39 68Q25 PDFBibTeX XMLCite \textit{S. S. Keerthi} and \textit{K. Sridharan}, J. Optim. Theory Appl. 65, No. 1, 161--169 (1990; Zbl 0672.90083) Full Text: DOI
Stalford, H. L.; Chao, C. H. On the robustness of linear stabilizing feedback control for linear uncertain systems. (English) Zbl 0681.93023 J. Optimization Theory Appl. 63, No. 2, 205-212 (1989). MSC: 93B35 93C05 93D05 15A24 93D15 PDFBibTeX XMLCite \textit{H. L. Stalford} and \textit{C. H. Chao}, J. Optim. Theory Appl. 63, No. 2, 205--212 (1989; Zbl 0681.93023) Full Text: DOI
Stalford, H. L.; Chao, C. H. A necessary and sufficient condition in Lyapunov robust control. (English) Zbl 0663.93025 J. Optimization Theory Appl. 63, No. 2, 191-204 (1989). Reviewer: H.L.Stalford MSC: 93B35 93D05 93C05 15A24 PDFBibTeX XMLCite \textit{H. L. Stalford} and \textit{C. H. Chao}, J. Optim. Theory Appl. 63, No. 2, 191--204 (1989; Zbl 0663.93025) Full Text: DOI
Christensen, G. S.; Soliman, S. A. New technique for linear static state estimation based on weighted least absolute value approximations. (English) Zbl 0643.93062 J. Optimization Theory Appl. 61, No. 1, 123-136 (1989). Reviewer: G.S.Christensen MSC: 93E10 93C05 15A09 93B17 PDFBibTeX XMLCite \textit{G. S. Christensen} and \textit{S. A. Soliman}, J. Optim. Theory Appl. 61, No. 1, 123--136 (1989; Zbl 0643.93062) Full Text: DOI
Geromel, J. C.; Yamakami, A.; Armentano, V. A. Structural constrained controllers for discrete-time linear systems. (English) Zbl 0643.93028 J. Optimization Theory Appl. 61, No. 1, 73-94 (1989). Reviewer: J.Geromel MSC: 93B50 93C55 93D15 93C05 15A24 93B40 PDFBibTeX XMLCite \textit{J. C. Geromel} et al., J. Optim. Theory Appl. 61, No. 1, 73--94 (1989; Zbl 0643.93028) Full Text: DOI
Bertocchi, M. Numerical experiments with ABS algorithms for linear systems on a parallel machine. (English) Zbl 0633.65028 J. Optimization Theory Appl. 60, No. 3, 375-392 (1989). MSC: 65F05 65Y05 15A23 PDFBibTeX XMLCite \textit{M. Bertocchi}, J. Optim. Theory Appl. 60, No. 3, 375--392 (1989; Zbl 0633.65028) Full Text: DOI
Petrovic, B.; Gajic, Z. Recursive solution of linear-quadratic Nash games for weakly interconnected systems. (English) Zbl 0622.93005 J. Optimization Theory Appl. 56, No. 3, 463-477 (1988). MSC: 93A15 91A23 93B40 15A24 93C05 PDFBibTeX XMLCite \textit{B. Petrovic} and \textit{Z. Gajic}, J. Optim. Theory Appl. 56, No. 3, 463--477 (1988; Zbl 0622.93005) Full Text: DOI
Fisher, M. E.; Gayek, J. E. Estimating reachable sets for two-dimensional linear discrete systems. (English) Zbl 0618.93006 J. Optimization Theory Appl. 56, No. 1, 67-88 (1988). MSC: 93B05 93B03 93C55 93C05 15A18 PDFBibTeX XMLCite \textit{M. E. Fisher} and \textit{J. E. Gayek}, J. Optim. Theory Appl. 56, No. 1, 67--88 (1988; Zbl 0618.93006) Full Text: DOI
Chun, H. M.; Turner, J. D. A noniterative algebraic solution for Riccati equations satisfying two- point boundary-value problems. (English) Zbl 0579.93021 J. Optimization Theory Appl. 51, 355-362 (1986). MSC: 93B40 34B30 65K10 15A24 PDFBibTeX XMLCite \textit{H. M. Chun} and \textit{J. D. Turner}, J. Optim. Theory Appl. 51, 355--362 (1986; Zbl 0579.93021) Full Text: DOI
Badawi, F. A. A utilization of properties of the discrete-time Riccati equation in stochastic realization theory. (English) Zbl 0574.93015 J. Optimization Theory Appl. 49, 191-206 (1986). MSC: 93B15 60G10 93C55 15A24 93E03 PDFBibTeX XMLCite \textit{F. A. Badawi}, J. Optim. Theory Appl. 49, 191--206 (1986; Zbl 0574.93015) Full Text: DOI
Turner, J. D.; Chun, H. M.; Juang, J. N. Closed-form solutions for a class of optimal quadratic tracking problems. (English) Zbl 0557.93034 J. Optimization Theory Appl. 47, 465-481 (1985). MSC: 93C05 65F30 93B40 15A24 93C99 65K10 PDFBibTeX XMLCite \textit{J. D. Turner} et al., J. Optim. Theory Appl. 47, 465--481 (1985; Zbl 0557.93034) Full Text: DOI