# zbMATH — the first resource for mathematics

## Xia, Yong

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 Author ID: xia.yong Published as: Xia, Y.; Xia, Yong
 Documents Indexed: 88 Publications since 1991
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#### Co-Authors

 14 single-authored 7 Sheu, Ruey-Lin 7 Xu, Zhiting 6 Wang, Longfei 5 Li, Duan 5 Wang, Shu 5 Yang, Meijia 4 Sun, Xiaoling 4 Wang, Jiulin 3 Cen, Xiaoli 3 Han, Yingwei 3 Liu, Hongying 3 Wang, Xiaohui 2 Dong, Pei 2 Feng, David Dagan 2 Gharibi, Wajeb 2 Gong, Yu-Jun 2 Nguyen, Van-Bong 2 Strieder, William 2 Wang, Shanshan 2 Xing, Wenxun 2 Zheng, Xiaojin 1 Bao, Yuequan 1 Consolini, Luca 1 Fang, Shu-Cherng 1 Feng, Joe-Mei 1 Gao, Runxuan 1 Han, Deren 1 Han, Jianda 1 Han, Sheng-Nan 1 Harrison, David jun. 1 Kalyanaraman, Shivkumar 1 Law, Siu-Seong 1 Li, Hui 1 Li, Ping 1 Li, Yao-Dong 1 Liang, Dong 1 Lin, Gang-Xuan 1 Lin, Rongming 1 Liu, Qiegen 1 Locatelli, Marco 1 Luo, Jianhua 1 Nguyen, Huu Quang 1 Ni, Pinghe 1 Pan, Yongsheng 1 Peng, Jiming 1 Qi, Juntong 1 Shen, Dinggang 1 Sheu, Reuy-Lin 1 Song, Dalei 1 Venkatesan, Arvind 1 Wang, Chunheng 1 Wang, Hao 1 Wang, Hao 1 Wang, Kuanquan 1 Wang, Lei 1 Wang, Xiaojun 1 Wu, Zuping 1 Xiao, Baihua 1 Xiao, Jizhong 1 Xu, You-Lin 1 Xu, Zhuoyi 1 Xu, Zi 1 Yang, Liang 1 Yang, Tianzhi 1 Yuan, Ya-xiang 1 Zhang, Hao 1 Zhang, Henggui 1 Zhang, Peng 1 Zhu, Songye 1 Zou, Hui-Min
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#### Serials

 6 Optimization Letters 5 Journal of Global Optimization 4 SIAM Journal on Optimization 4 Optimization Methods & Software 3 Computational Optimization and Applications 3 IEEE Transactions on Image Processing 3 Journal of Industrial and Management Optimization 3 Journal of the Operations Research Society of China 2 International Journal of Heat and Mass Transfer 2 Operations Research Letters 2 Optimization 2 Asia-Pacific Journal of Operational Research 2 Chinese Journal of Engineering Mathematics 2 International Journal of Structural Stability and Dynamics 2 Numerical Algebra, Control and Optimization 1 Acta Mechanica 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 International Journal for Numerical Methods in Engineering 1 Kyungpook Mathematical Journal 1 Mathematics of Operations Research 1 Southeast Asian Bulletin of Mathematics 1 Computers & Operations Research 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Mathematical Programming. Series A. Series B 1 Numerical Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Computational and Applied Mathematics 1 Mathematical Methods of Operations Research 1 Journal of Combinatorial Optimization 1 Chinese Quarterly Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Optimization and Engineering 1 RAIRO. Operations Research 1 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 1 Journal of Henan Normal University. Natural Science 1 Computer Networks 1 Frontiers of Mathematics in China 1 Computational & Mathematical Methods in Medicine 1 Journal of Nonlinear Science and Applications 1 Journal of Control Science and Engineering 1 Science China. Mathematics 1 Operations Research Transactions
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#### Fields

 57 Operations research, mathematical programming (90-XX) 6 Ordinary differential equations (34-XX) 6 Numerical analysis (65-XX) 5 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

45 Publications have been cited 184 times in 130 Documents Cited by Year
S-lemma with equality and its applications. Zbl 1333.90086
Xia, Yong; Wang, Shu; Sheu, Ruey-Lin
2016
Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint. Zbl 1281.90032
Feng, Joe-Mei; Lin, Gang-Xuan; Sheu, Reuy-Lin; Xia, Yong
2012
An SDP approach for quadratic fractional problems with a two-sided quadratic constraint. Zbl 1385.90027
Nguyen, Van-Bong; Sheu, Ruey-Lin; Xia, Yong
2016
Hybrid reliability analysis of structures with multi-source uncertainties. Zbl 1401.74021
Wang, Lei; Wang, Xiaojun; Xia, Yong
2014
A linear-time algorithm for the trust region subproblem based on hidden convexity. Zbl 1410.90145
Wang, Jiulin; Xia, Yong
2017
Strong duality for generalized trust region subproblem: S-lemma with interval bounds. Zbl 1354.90089
Wang, Shu; Xia, Yong
2015
Integral averaging technique and oscillation of certain even order delay differential equations. Zbl 1062.34072
Xu, Zhiting; Xia, Yong
2004
A new iterative order reduction (IOR) method for eigensolutions of large structures. Zbl 1047.74024
Xia, Yong; Lin, Rongming
2004
Duality gap estimation of linear equality constrained binary quadratic programming. Zbl 1218.90129
Zheng, Xiaojin; Sun, Xiaoling; Li, Duan; Xia, Yong
2010
A new linearization method for quadratic assignment problems. Zbl 1112.90051
Xia, Yong; Yuan, Ya-Xiang
2006
On minimizing the ratio of quadratic functions over an ellipsoid. Zbl 1311.90097
Xia, Yong
2015
On the reduction of duality gap in box constrained nonconvex quadratic program. Zbl 1236.90083
Xia, Yong; Sun, Xiaoling; Li, Duan; Zheng, Xiaojin
2011
A new theoretical framework for $$K$$-means-type clustering. Zbl 1085.68132
Peng, J.; Xia, Y.
2005
Civil structure condition assessment by FE model updating: methodology and case studies. Zbl 1103.74354
Brownjohn, J. M. W.; Xia, P.-Q.; Hao, H.; Xia, Y.
2001
Efficiently solving total least squares with Tikhonov identical regularization. Zbl 1391.90498
Yang, Meijia; Xia, Yong; Wang, Jiulin; Peng, Jiming
2018
Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming. Zbl 1360.90244
Nguyen, Van-Bong; Sheu, Ruey-Lin; Xia, Yong
2016
On local convexity of quadratic transformations. Zbl 1310.90084
Xia, Yong
2014
New semidefinite programming relaxations for box constrained quadratic program. Zbl 1302.90135
Xia, Yong
2013
An efficient continuation method for quadratic assignment problems. Zbl 1178.90220
Xia, Yong
2010
New optimality conditions for quadratic optimization problems with binary constraints. Zbl 1173.90495
Xia, Yong
2009
A linear-time algorithm for globally maximizing the sum of a generalized Rayleigh quotient and a quadratic form on the unit sphere. Zbl 1421.90122
Wang, Long-Fei; Xia, Yong
2019
On the ball-constrained weighted maximin dispersion problem. Zbl 1346.90659
Wang, Shu; Xia, Yong
2016
Second order cone programming relaxation for quadratic assignment problems. Zbl 1162.90533
Xia, Yong
2008
Oscillation of second order damped elliptic equations via weighted averages technique. Zbl 1141.35316
Xu, Zhiting; Xia, Yong
2006
A survey of hidden convex optimization. Zbl 1449.90294
Xia, Yong
2020
Minimizing the sum of linear fractional functions over the cone of positive semidefinite matrices: approximation and applications. Zbl 07064425
Xia, Yong; Wang, Longfei; Wang, Shu
2018
Survey of robot 3D path planning algorithms. Zbl 1346.93280
Yang, Liang; Qi, Juntong; Song, Dalei; Xiao, Jizhong; Han, Jianda; Xia, Yong
2016
Parametric Lagrangian dual for the binary quadratic programming problem. Zbl 1334.90076
Xia, Yong; Xing, Wenxun
2015
Convex hull of the orthogonal similarity set with applications in quadratic assignment problems. Zbl 1281.90044
Xia, Yong
2013
Global optimization of a class of nonconvex quadratically constrained quadratic programming problems. Zbl 1225.90094
Xia, Yong
2011
New sufficient global optimality conditions for linearly constrained bivalent quadratic optimization problems. Zbl 1188.90192
Xia, Yong
2009
Improved Gilmore-Lawler bound for quadratic assignment problems. Zbl 1174.90709
Xia, Yong
2007
On Lagrangian duality gap of quadratic fractional programming with a two-sided quadratic constraint. Zbl 07193674
Yang, Meijia; Xia, Yong
2020
A fast algorithm for globally solving Tikhonov regularized total least squares problem. Zbl 1411.65065
Xia, Yong; Wang, Longfei; Yang, Meijia
2019
An efficient global optimization algorithm for maximizing the sum of two generalized Rayleigh quotients. Zbl 1402.90187
Wang, Xiaohui; Wang, Longfei; Xia, Yong
2018
On linearization techniques for budget-constrained binary quadratic programming problems. Zbl 1408.90192
Yang, Mei-Jia; Xia, Yong; Zou, Hui-Min
2016
Strong duality in optimization: shifted power reformulation. Zbl 1358.90151
Xia, Yong; Li, Duan
2016
Parallel optimization of 3D cardiac electrophysiological model using GPU. Zbl 1343.92101
Xia, Yong; Wang, Kuanquan; Zhang, Henggui
2015
Partial Lagrangian relaxation for the unbalanced orthogonal Procrustes problem. Zbl 1291.90163
Xia, Yong; Han, Ying-Wei
2014
New results on semidefinite bounds for $$\ell_{1}$$-constrained nonconvex quadratic optimization. Zbl 1312.90048
Xia, Yong
2013
A note on Legendre-Fenchel conjugate of the product of two positive-definite quadratic forms. Zbl 1402.90111
Xia, Yong
2013
Tightening a copositive relaxation for standard quadratic optimization problems. Zbl 1294.90044
Xia, Yong; Sheu, Ruey-Lin; Sun, Xiaoling; Li, Duan
2013
Improved estimation of duality gap in binary quadratic programming using a weighted distance measure. Zbl 1244.90162
Xia, Yong; Sheu, Ruey-Lin; Sun, Xiaoling; Li, Duan
2012
On the interpoint distance sum inequality. Zbl 1201.51003
Xia, Yong; Liu, Hong-Ying
2009
Kamenev-type oscillation criteria for second-order quasilinear differential equations. Zbl 1075.34032
Xu, Zhiting; Xia, Yong
2005
A survey of hidden convex optimization. Zbl 1449.90294
Xia, Yong
2020
On Lagrangian duality gap of quadratic fractional programming with a two-sided quadratic constraint. Zbl 07193674
Yang, Meijia; Xia, Yong
2020
A linear-time algorithm for globally maximizing the sum of a generalized Rayleigh quotient and a quadratic form on the unit sphere. Zbl 1421.90122
Wang, Long-Fei; Xia, Yong
2019
A fast algorithm for globally solving Tikhonov regularized total least squares problem. Zbl 1411.65065
Xia, Yong; Wang, Longfei; Yang, Meijia
2019
Efficiently solving total least squares with Tikhonov identical regularization. Zbl 1391.90498
Yang, Meijia; Xia, Yong; Wang, Jiulin; Peng, Jiming
2018
Minimizing the sum of linear fractional functions over the cone of positive semidefinite matrices: approximation and applications. Zbl 07064425
Xia, Yong; Wang, Longfei; Wang, Shu
2018
An efficient global optimization algorithm for maximizing the sum of two generalized Rayleigh quotients. Zbl 1402.90187
Wang, Xiaohui; Wang, Longfei; Xia, Yong
2018
A linear-time algorithm for the trust region subproblem based on hidden convexity. Zbl 1410.90145
Wang, Jiulin; Xia, Yong
2017
S-lemma with equality and its applications. Zbl 1333.90086
Xia, Yong; Wang, Shu; Sheu, Ruey-Lin
2016
An SDP approach for quadratic fractional problems with a two-sided quadratic constraint. Zbl 1385.90027
Nguyen, Van-Bong; Sheu, Ruey-Lin; Xia, Yong
2016
Maximizing the sum of a generalized Rayleigh quotient and another Rayleigh quotient on the unit sphere via semidefinite programming. Zbl 1360.90244
Nguyen, Van-Bong; Sheu, Ruey-Lin; Xia, Yong
2016
On the ball-constrained weighted maximin dispersion problem. Zbl 1346.90659
Wang, Shu; Xia, Yong
2016
Survey of robot 3D path planning algorithms. Zbl 1346.93280
Yang, Liang; Qi, Juntong; Song, Dalei; Xiao, Jizhong; Han, Jianda; Xia, Yong
2016
On linearization techniques for budget-constrained binary quadratic programming problems. Zbl 1408.90192
Yang, Mei-Jia; Xia, Yong; Zou, Hui-Min
2016
Strong duality in optimization: shifted power reformulation. Zbl 1358.90151
Xia, Yong; Li, Duan
2016
Strong duality for generalized trust region subproblem: S-lemma with interval bounds. Zbl 1354.90089
Wang, Shu; Xia, Yong
2015
On minimizing the ratio of quadratic functions over an ellipsoid. Zbl 1311.90097
Xia, Yong
2015
Parametric Lagrangian dual for the binary quadratic programming problem. Zbl 1334.90076
Xia, Yong; Xing, Wenxun
2015
Parallel optimization of 3D cardiac electrophysiological model using GPU. Zbl 1343.92101
Xia, Yong; Wang, Kuanquan; Zhang, Henggui
2015
Hybrid reliability analysis of structures with multi-source uncertainties. Zbl 1401.74021
Wang, Lei; Wang, Xiaojun; Xia, Yong
2014
On local convexity of quadratic transformations. Zbl 1310.90084
Xia, Yong
2014
Partial Lagrangian relaxation for the unbalanced orthogonal Procrustes problem. Zbl 1291.90163
Xia, Yong; Han, Ying-Wei
2014
New semidefinite programming relaxations for box constrained quadratic program. Zbl 1302.90135
Xia, Yong
2013
Convex hull of the orthogonal similarity set with applications in quadratic assignment problems. Zbl 1281.90044
Xia, Yong
2013
New results on semidefinite bounds for $$\ell_{1}$$-constrained nonconvex quadratic optimization. Zbl 1312.90048
Xia, Yong
2013
A note on Legendre-Fenchel conjugate of the product of two positive-definite quadratic forms. Zbl 1402.90111
Xia, Yong
2013
Tightening a copositive relaxation for standard quadratic optimization problems. Zbl 1294.90044
Xia, Yong; Sheu, Ruey-Lin; Sun, Xiaoling; Li, Duan
2013
Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint. Zbl 1281.90032
Feng, Joe-Mei; Lin, Gang-Xuan; Sheu, Reuy-Lin; Xia, Yong
2012
Improved estimation of duality gap in binary quadratic programming using a weighted distance measure. Zbl 1244.90162
Xia, Yong; Sheu, Ruey-Lin; Sun, Xiaoling; Li, Duan
2012
On the reduction of duality gap in box constrained nonconvex quadratic program. Zbl 1236.90083
Xia, Yong; Sun, Xiaoling; Li, Duan; Zheng, Xiaojin
2011
Global optimization of a class of nonconvex quadratically constrained quadratic programming problems. Zbl 1225.90094
Xia, Yong
2011
Duality gap estimation of linear equality constrained binary quadratic programming. Zbl 1218.90129
Zheng, Xiaojin; Sun, Xiaoling; Li, Duan; Xia, Yong
2010
An efficient continuation method for quadratic assignment problems. Zbl 1178.90220
Xia, Yong
2010
New optimality conditions for quadratic optimization problems with binary constraints. Zbl 1173.90495
Xia, Yong
2009
New sufficient global optimality conditions for linearly constrained bivalent quadratic optimization problems. Zbl 1188.90192
Xia, Yong
2009
On the interpoint distance sum inequality. Zbl 1201.51003
Xia, Yong; Liu, Hong-Ying
2009
Second order cone programming relaxation for quadratic assignment problems. Zbl 1162.90533
Xia, Yong
2008
Improved Gilmore-Lawler bound for quadratic assignment problems. Zbl 1174.90709
Xia, Yong
2007
A new linearization method for quadratic assignment problems. Zbl 1112.90051
Xia, Yong; Yuan, Ya-Xiang
2006
Oscillation of second order damped elliptic equations via weighted averages technique. Zbl 1141.35316
Xu, Zhiting; Xia, Yong
2006
A new theoretical framework for $$K$$-means-type clustering. Zbl 1085.68132
Peng, J.; Xia, Y.
2005
Kamenev-type oscillation criteria for second-order quasilinear differential equations. Zbl 1075.34032
Xu, Zhiting; Xia, Yong
2005
Integral averaging technique and oscillation of certain even order delay differential equations. Zbl 1062.34072
Xu, Zhiting; Xia, Yong
2004
A new iterative order reduction (IOR) method for eigensolutions of large structures. Zbl 1047.74024
Xia, Yong; Lin, Rongming
2004
Civil structure condition assessment by FE model updating: methodology and case studies. Zbl 1103.74354
Brownjohn, J. M. W.; Xia, P.-Q.; Hao, H.; Xia, Y.
2001
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#### Cited by 250 Authors

 34 Xia, Yong 9 Sheu, Ruey-Lin 8 Li, Duan 5 Kim, Jin-Gyun 5 Salahi, Maziar 5 Wang, Longfei 5 Yang, Meijia 4 Jiang, Rujun 4 Lee, Phill-Seung 4 Sun, Xiaoling 4 Wang, Jiulin 4 Wang, Shu 3 Deng, Zhibin 3 Fang, Shu-Cherng 3 Taati, Akram 3 Wang, Xiaohui 3 Wang, Xiaojun 3 Xing, Wenxun 3 Xu, Zhiting 2 Beltran-Royo, Cesar 2 Boo, Seung-Hwan 2 Cen, Xiaoli 2 Flores-Bazán, Fabián 2 Li, Tongxing 2 Liu, Yisi 2 Lu, Cheng 2 Nguyen, Huu Quang 2 Nguyen, Van-Bong 2 Peng, Jiming 2 Wang, Lei 2 Zhang, Chenghui 2 Zhang, Huizhen 1 Adachi, Satoru 1 Afsharnejad, Zahra 1 Agarwal, Ravi P. 1 Aloise, Daniel 1 Amstutz, Samuel 1 Arnolds, Ines Verena 1 Averbakh, Igor 1 Bai, Xiaodi 1 Başcı, Yasemin 1 Bashir, Muhammad Farhan 1 Beck, Amir 1 Bergman, David J. 1 Bestuzheva, Ksenia 1 Bohner, Martin J. 1 Brockmeier, Austin J. 1 Cárcamo, Gabriel 1 Cardoso, João R. 1 Caro, Stephanie 1 Chen, Daxue 1 Chen, Feiyu 1 Chen, Guobing 1 Chen, Shengping 1 Chen, Wei-An 1 Chen, Wei 1 Chen, Weidong 1 Chen, Xiaofang 1 Chen, Zuguo 1 Cheng, Tai-Chiu Edwin 1 Cherif, Foudil 1 Choura, Slim 1 Ciligot-Travain, Marc 1 Consolini, Luca 1 Constantino, Miguel Fragoso 1 Cui, Yi 1 De Roeck, Guido 1 Deng, Zhongmin 1 Dolatabadi, Mohammad 1 Dymarsky, Anatoly 1 Echegaray, William 1 El-Borgi, Sami 1 Entezami, Alireza 1 Evangelopoulos, Xenophon 1 Fallahi, Saeed 1 Fan, Jinyan 1 Fang, Shengen 1 Feizollahi, Mohammad Javad 1 Flores-Bazán, Fernando 1 Fu, Huimin 1 Gao, David Yang 1 Gao, Jiangjun 1 Gao, Li 1 Gartner, Daniel 1 Gharibi, Wajeb 1 Glover, Fred W. 1 Goldbarg, Elizabeth Ferreira Gouvêa 1 Goldbarg, Marco César 1 Gong, Yu-Jun 1 Gonzalez Zerbo, Santiago 1 Gould, Nicholas Ian Mark 1 Goulermas, John Y. 1 Gui, Weihua 1 Guo, Xiaoling 1 Guo, Zhaopu 1 Gupta, Siddharth 1 Haeser, Gabriel 1 Hamzehkolaei, Naser Safaeian 1 Han, Deren 1 Han, Sheng-Nan ...and 150 more Authors
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#### Cited in 61 Serials

 10 Journal of Global Optimization 10 Optimization Letters 7 SIAM Journal on Optimization 5 Computer Methods in Applied Mechanics and Engineering 5 Applied Mathematical Modelling 5 Computational Optimization and Applications 5 Optimization Methods & Software 5 Journal of Industrial and Management Optimization 4 Mathematical Programming. Series A. Series B 3 Journal of Optimization Theory and Applications 3 Optimization 3 Journal of Vibration and Control 3 Science China. Mathematics 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Operations Research Letters 2 Applied Mathematics Letters 2 Annals of Operations Research 2 Computational and Applied Mathematics 2 INFORMS Journal on Computing 2 Abstract and Applied Analysis 2 Journal of Combinatorial Optimization 2 Numerical Algebra, Control and Optimization 2 Journal of the Operations Research Society of China 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Mathematical Analysis and Applications 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 International Journal for Numerical Methods in Engineering 1 Meccanica 1 Numerical Functional Analysis and Optimization 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Computers & Operations Research 1 Computational Mechanics 1 International Journal of Approximate Reasoning 1 Machine Learning 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Numerical Linear Algebra with Applications 1 Journal of Convex Analysis 1 The Journal of Artificial Intelligence Research (JAIR) 1 International Transactions in Operational Research 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Acta Mathematica Sinica. English Series 1 Optimization and Engineering 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics and Computing 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Advances in Difference Equations 1 Acta Mechanica Sinica 1 Pesquisa Operacional 1 Journal of Nonlinear Science and Applications 1 Journal of Control Science and Engineering 1 Mathematical Programming Computation 1 International Journal of Structural Stability and Dynamics
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#### Cited in 21 Fields

 90 Operations research, mathematical programming (90-XX) 22 Numerical analysis (65-XX) 17 Mechanics of deformable solids (74-XX) 9 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 5 Partial differential equations (35-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)