{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T15:52:31Z","timestamp":1743090751733,"version":"3.40.3"},"publisher-location":"Heidelberg","reference-count":71,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319002927"},{"type":"electronic","value":"9783319002934"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-319-00293-4_1","type":"book-chapter","created":{"date-parts":[[2013,3,22]],"date-time":"2013-03-22T11:27:27Z","timestamp":1363951647000},"page":"3-17","source":"Crossref","is-referenced-by-count":4,"title":["Solution Methods for General Quadratic Programming Problem with Continuous and Binary Variables: Overview"],"prefix":"10.1007","author":[{"given":"Nguyen","family":"Van Thoai","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"1_CR1","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1287\/moor.8.2.273","volume":"8","author":"F.A. Al-Khayyal","year":"1983","unstructured":"Al-Khayyal, F.A., Falk, J.E.: Jointly constrained biconvex programming. Math. Oper. Res.\u00a08, 273\u2013286 (1983)","journal-title":"Math. Oper. Res."},{"key":"1_CR2","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/BF01099462","volume":"6","author":"F.A. Al-Khayyal","year":"1995","unstructured":"Al-Khayyal, F.A., Larsen, C., van Voorhis, T.: A relaxation method for nonconvex quadratically constrained quadratic programs. Journal of Global Optimization\u00a06, 215\u2013230 (1995)","journal-title":"Journal of Global Optimization"},{"key":"1_CR3","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s101079900106","volume":"87","author":"C. Audet","year":"2000","unstructured":"Audet, C., Hansen, P., Jaumard, B., Savard, G.: A branch and cut algorithm for nonconvex quadratically constrained quadratic programming. Math. Program. Ser. A\u00a087, 131\u2013152 (2000)","journal-title":"Math. Program. Ser. A"},{"key":"1_CR4","unstructured":"Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear Programming: Theory and Algorithms, 2nd edn. John Wiley & Sons, Inc. (1993)"},{"key":"1_CR5","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1007\/BF01582066","volume":"63","author":"A. Ben-Tal","year":"1994","unstructured":"Ben-Tal, A., Eiger, G., Gershovitz, V.: Global Minimization by Reducing the Duality Gap. Mathematical Programming\u00a063, 193\u2013212 (1994)","journal-title":"Mathematical Programming"},{"key":"1_CR6","doi-asserted-by":"crossref","unstructured":"Berman, A., Shaked-Monderer, N.: Completely positive matrices. World Scientific (2003)","DOI":"10.1142\/5273"},{"key":"1_CR7","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1023\/A:1008369322970","volume":"13","author":"I.M. Bomze","year":"1998","unstructured":"Bomze, I.M.: On standard quadratic optimization problems. Journal of Global Optimization\u00a013, 369\u2013387 (1998)","journal-title":"Journal of Global Optimization"},{"key":"1_CR8","doi-asserted-by":"publisher","first-page":"826","DOI":"10.1137\/0803042","volume":"3","author":"I.M. Bomze","year":"1993","unstructured":"Bomze, I.M., Danninger, G.: A global optimization algorithm for concave quadratic problems. SIAM J. Optimization\u00a03, 826\u2013842 (1993)","journal-title":"SIAM J. Optimization"},{"key":"1_CR9","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1023\/A:1026583532263","volume":"18","author":"I.M. Bomze","year":"2000","unstructured":"Bomze, I.M., Duer, M., de Klerk, E., Roos, C., Quist, A.J., Terlaky, T.: On copositive programming and standard quadratic optimization problems. Journal of Global Optimization\u00a018, 301\u2013320 (2000)","journal-title":"Journal of Global Optimization"},{"key":"1_CR10","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1023\/A:1013886408463","volume":"22","author":"I.M. Bomze","year":"2002","unstructured":"Bomze, I.M.: Branch and bound approaches to standard quadratic optimization problems. Journal of Global Optimization\u00a022, 17\u201337 (2002)","journal-title":"Journal of Global Optimization"},{"key":"1_CR11","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1023\/A:1020209017701","volume":"24","author":"I.M. Bomze","year":"2002","unstructured":"Bomze, I.M., de Klerk, E.: Solving standard quadratic optimization problems via linear, semidefinite and copositive programming. Journal of Global Optimization\u00a024, 163\u2013185 (2002)","journal-title":"Journal of Global Optimization"},{"key":"1_CR12","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/s12532-011-0022-z","volume":"3","author":"I.M. Bomze","year":"2011","unstructured":"Bomze, I.M., Jarre, F., Rendl, F.: Quadratic factorization heuristics for copositive programming. Math. Prog. Comp.\u00a03, 37\u201357 (2011)","journal-title":"Math. Prog. Comp."},{"key":"1_CR13","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1023\/A:1013838625301","volume":"22","author":"J. Brimberg","year":"2002","unstructured":"Brimberg, J., Hansen, P., Mladenovi\u0107, N.: A note on reduction of quadratic and bilinear programs with equality constraints. Journal of Global Optimization\u00a022, 39\u201347 (2002)","journal-title":"Journal of Global Optimization"},{"key":"1_CR14","doi-asserted-by":"publisher","first-page":"30","DOI":"10.1137\/070711815","volume":"20","author":"S. Bundfuss","year":"2009","unstructured":"Bundfuss, S., D\u00fcr, M.: An adaptive linear approximation algorithm for copositive programs. SIAM Journal on Optimization\u00a020, 30\u201353 (2009)","journal-title":"SIAM Journal on Optimization"},{"key":"1_CR15","doi-asserted-by":"publisher","first-page":"1511","DOI":"10.1016\/j.laa.2007.09.035","volume":"428","author":"S. Bundfuss","year":"2008","unstructured":"Bundfuss, S., D\u00fcr, M.: Algorithmic copositivity detection by simplicial partition. Linear Algebra and its Applications\u00a0428, 1511\u20131523 (2008)","journal-title":"Linear Algebra and its Applications"},{"key":"1_CR16","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1007\/s10107-008-0223-z","volume":"120","author":"S. Burer","year":"2009","unstructured":"Burer, S.: On the copositive representation of binary and continuous nonconvex quadratic programs. Mathematical Programming\u00a0120, 479\u2013495 (2009)","journal-title":"Mathematical Programming"},{"key":"1_CR17","doi-asserted-by":"crossref","unstructured":"D\u00fcr, M.: Copositive programming \u2013 a survey. In: Diehl, M., Glineur, F., Jarlebring, E., Michiels, W. (eds.) Recent Advances in Optimization and its Applications in Engineering, pp. 3\u201320. Springer (2010)","DOI":"10.1007\/978-3-642-12598-0_1"},{"key":"1_CR18","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1023\/A:1022687222060","volume":"95","author":"M. D\u00fcr","year":"1997","unstructured":"D\u00fcr, M., Horst, R.: Lagrange Duality and Partioning Techniques in Nonconvex Global Optimization. Journal of Optimization Theory and Applications\u00a095, 347\u2013369 (1997)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR19","doi-asserted-by":"publisher","first-page":"251","DOI":"10.1287\/moor.1.3.251","volume":"1","author":"J.E. Falk","year":"1976","unstructured":"Falk, J.E., Hoffman, K.L.: A Successive Underestimation Method for Concave Minimization Problems. Mathematics of Operations Research\u00a01, 251\u2013259 (1976)","journal-title":"Mathematics of Operations Research"},{"key":"1_CR20","doi-asserted-by":"publisher","first-page":"1117","DOI":"10.1016\/0098-1354(89)87016-4","volume":"13","author":"C.A. Floudas","year":"1989","unstructured":"Floudas, C.A., Aggarwal, A., Ciric, A.R.: Global optimum search for nonconvex NLP and MINLP problems. Computers and Chemical Engineering\u00a013, 1117\u20131132 (1989)","journal-title":"Computers and Chemical Engineering"},{"key":"1_CR21","doi-asserted-by":"publisher","first-page":"1397","DOI":"10.1016\/0098-1354(90)80020-C","volume":"14","author":"C.A. Floudas","year":"1990","unstructured":"Floudas, C.A., Visweswaran, V.: A global optimization algorithm (GOP) for certain classes of nonconvex NLPs- I. Theory. Computers and Chemical Engineering\u00a014, 1397\u20131417 (1990)","journal-title":"Computers and Chemical Engineering"},{"key":"1_CR22","doi-asserted-by":"crossref","unstructured":"Floudas, C.A., Visweswaran, V.: Quadratic optimization. In: Horst, R., Pardalos, P.M. (eds.) Handbook of Global Optimization, pp. 217\u2013269. Kluwer Academic Publihers (1995)","DOI":"10.1007\/978-1-4615-2025-2_5"},{"key":"1_CR23","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1023\/A:1008282830093","volume":"10","author":"T. Fujie","year":"1997","unstructured":"Fujie, T., Kojima, M.: Semidefinite programming relaxation for nonconvex quadratic programs. Journal of Global Optimization\u00a010, 367\u2013380 (1997)","journal-title":"Journal of Global Optimization"},{"key":"1_CR24","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1137\/1013001","volume":"13","author":"A.M. Geoffrion","year":"1971","unstructured":"Geoffrion, A.M.: Duality in Nonlinear Programming: A Simplified Application-Oriented Development. SIAM Review\u00a013, 1\u201337 (1971)","journal-title":"SIAM Review"},{"key":"1_CR25","first-page":"474","volume":"3","author":"C.G. Han","year":"1992","unstructured":"Han, C.G., Pardalos, P.M., Ye, Y.: On the solution of indefinite quadratic problems using an interior point algorithm. Informatica\u00a03, 474\u2013496 (1992)","journal-title":"Informatica"},{"key":"1_CR26","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1007\/BF00121301","volume":"2","author":"P. Hansen","year":"1992","unstructured":"Hansen, P., Jaumard, B.: Reduction of indefinite quadratic programs to bilinear programs. Journal of Global Optimization\u00a02, 41\u201360 (1992)","journal-title":"Journal of Global Optimization"},{"key":"1_CR27","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1002\/1520-6750(199304)40:3<373::AID-NAV3220400307>3.0.CO;2-A","volume":"40","author":"P. Hansen","year":"1993","unstructured":"Hansen, P., Jaumard, B., Ruiz, M., Xiong, J.: Global optimization of indefinite quadratic functions subject to box constraints. Naval Res. Logist.\u00a040, 373\u2013392 (1993)","journal-title":"Naval Res. Logist."},{"key":"1_CR28","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1007\/BF01582576","volume":"64","author":"M. Heinkenschloss","year":"1994","unstructured":"Heinkenschloss, M.: On the solution of a two ball trust region subproblem. Math. Programming\u00a064, 249\u2013276 (1994)","journal-title":"Math. Programming"},{"key":"1_CR29","doi-asserted-by":"publisher","first-page":"593","DOI":"10.1137\/090750391","volume":"52","author":"J.B. Hiriart-Urruty","year":"2010","unstructured":"Hiriart-Urruty, J.B., Seeger, A.: A variational approach to copositive matrices. SIAM Rev.\u00a052, 593\u2013629 (2010)","journal-title":"SIAM Rev."},{"key":"1_CR30","doi-asserted-by":"crossref","unstructured":"Horst, R., Pardalos, P.M. (eds.): Handbook of global optimization. Kluwer Academic Publihers (1995)","DOI":"10.1007\/978-1-4615-2025-2"},{"key":"1_CR31","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-0015-5","volume-title":"Introduction to Global Optimization","author":"R. Horst","year":"2000","unstructured":"Horst, R., Pardalos, P.M., Thoai, N.V.: Introduction to Global Optimization, 2nd edn. Kluwer, Dordrecht (2000)","edition":"2"},{"key":"1_CR32","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/BF00429750","volume":"5","author":"R. Horst","year":"1996","unstructured":"Horst, R., Thoai, N.V.: A new algorithm for solving the general quadratic programming problem. Computational Optimization and Applications\u00a05, 39\u201349 (1996)","journal-title":"Computational Optimization and Applications"},{"key":"1_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1023\/A:1021765131316","volume":"103","author":"R. Horst","year":"1999","unstructured":"Horst, R., Thoai, N.V.: DC programming: Overview. Journal of Optimization Theory and Applications\u00a0103, 1\u201343 (1999)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR34","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1007\/BF01594938","volume":"50","author":"R. Horst","year":"1991","unstructured":"Horst, R., Thoai, N.V., Benson, H.P.: Concave minimization via conical partitions and polyhedral outer approximation. Mathematical Programming\u00a050, 259\u2013274 (1991)","journal-title":"Mathematical Programming"},{"key":"1_CR35","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-03199-5","volume-title":"Global Optimization: Deterministic Approaches","author":"R. Horst","year":"1996","unstructured":"Horst, R., Tuy, H.: Global Optimization: Deterministic Approaches, 3rd edn. Springer, Berlin (1996)","edition":"3"},{"key":"1_CR36","doi-asserted-by":"publisher","first-page":"750","DOI":"10.1137\/S1052623498336450","volume":"10","author":"M. Kojima","year":"2000","unstructured":"Kojima, M., Tun\u00e7el, L.: Cones of matrix and successive convex ralaxations of nonconvex sets. SIAM J. Optimization\u00a010, 750\u2013778 (2000)","journal-title":"SIAM J. Optimization"},{"key":"1_CR37","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1007\/PL00011394","volume":"89","author":"M. Kojima","year":"2000","unstructured":"Kojima, M., Tun\u00e7el, L.: Discretization and localization in successive convex relaxation methods for nonconvex quadratic optimization. Math. Program. Ser. A\u00a089, 79\u2013111 (2000)","journal-title":"Math. Program. Ser. A"},{"key":"1_CR38","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1007\/BF01580380","volume":"11","author":"H. Kono","year":"1976","unstructured":"Kono, H.: Maximizing a convex quadratic function subject to linear constraints. Mathematical Programming\u00a011, 117\u2013127 (1976)","journal-title":"Mathematical Programming"},{"key":"1_CR39","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1023\/A:1008288411710","volume":"11","author":"H.A. Le Thi","year":"1997","unstructured":"Le Thi, H.A., Pham, D.T.: Solving a class of linearly constrained indefinite quadratic problems by d.c. algorithm. Journal of Global Optimization\u00a011, 253\u2013285 (1997)","journal-title":"Journal of Global Optimization"},{"key":"1_CR40","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1023\/A:1008240227198","volume":"13","author":"H.A. Le Thi","year":"1998","unstructured":"Le Thi, H.A., Pham, D.T.: A branch and bound method via d.c. optimization algorithms and ellipsoidal technique for box constrained nonconvex quadratic problems. Journal of Global Optimization\u00a013, 171\u2013206 (1998)","journal-title":"Journal of Global Optimization"},{"key":"1_CR41","doi-asserted-by":"publisher","first-page":"139","DOI":"10.1016\/S0166-218X(01)00359-6","volume":"122","author":"M. Locatelli","year":"2002","unstructured":"Locatelli, M., Raber, U.: Packing equal circes into a square: a deterministic global optimization approach. Discrete Apllied Mathematics\u00a0122, 139\u2013166 (2002)","journal-title":"Discrete Apllied Mathematics"},{"key":"1_CR42","doi-asserted-by":"publisher","first-page":"166","DOI":"10.1137\/0801013","volume":"1","author":"L. Lov\u00e1sz","year":"1991","unstructured":"Lov\u00e1sz, L., Schreijver, A.: Cone of matrices and set functions and 0-1 optimization. SIAM J. Optimization\u00a01, 166\u2013190 (1991)","journal-title":"SIAM J. Optimization"},{"key":"1_CR43","volume-title":"Nonlinear Programming","author":"O.L. Mangasarian","year":"1979","unstructured":"Mangasarian, O.L.: Nonlinear Programming. Robert E. Krieger Publishing Company, Huntington (1979)"},{"key":"1_CR44","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1137\/0804009","volume":"4","author":"J.M. Martinez","year":"1994","unstructured":"Martinez, J.M.: Local minimizers of quadratic functions on Euclidean balls and spheres. SIAM J. Optimization\u00a04, 159\u2013176 (1994)","journal-title":"SIAM J. Optimization"},{"key":"1_CR45","doi-asserted-by":"publisher","first-page":"189","DOI":"10.1080\/10556789308805542","volume":"2","author":"J. Mor\u00e9","year":"1993","unstructured":"Mor\u00e9, J.: Generalizations of the trust region problem. Optimization Methods & Software\u00a02, 189\u2013209 (1993)","journal-title":"Optimization Methods & Software"},{"key":"1_CR46","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1023\/A:1008315627883","volume":"14","author":"I. Novak","year":"1999","unstructured":"Novak, I.: A new semidefinite bound for indefinite quadratic forms over a simplex. Journal of Global Optimization\u00a014, 357\u2013364 (1999)","journal-title":"Journal of Global Optimization"},{"key":"1_CR47","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1023\/A:1026596100403","volume":"18","author":"I. Novak","year":"2000","unstructured":"Novak, I.: Dual bounds and optimality cuts for all-quadratic programs with convex constraints. Journal of Global Optimization\u00a018, 337\u2013356 (2000)","journal-title":"Journal of Global Optimization"},{"key":"1_CR48","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/0898-1221(91)90163-X","volume":"21","author":"P.M. Pardalos","year":"1991","unstructured":"Pardalos, P.M.: Global optimization algorithms for linearly constrained indefinite quadratic problems. Comput. Math. Appl.\u00a021, 87\u201397 (1991)","journal-title":"Comput. Math. Appl."},{"key":"1_CR49","doi-asserted-by":"crossref","unstructured":"Pardalos, P.M., Rendl, F., Wolkowicz, H.: The Quadratic Assignment Problem: A Survey and Recent Developments. DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol.\u00a016, pp. 1\u201339 (1994)","DOI":"10.1090\/dimacs\/016\/01"},{"key":"1_CR50","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0000035","volume-title":"Constrained Global Optimization: Algorithms and Applications","author":"P.M. Pardalos","year":"1987","unstructured":"Pardalos, P.M., Rosen, J.B.: Constrained Global Optimization: Algorithms and Applications. LNCS, vol.\u00a0268. Springer, Heidelberg (1987)"},{"key":"1_CR51","first-page":"843","volume":"1","author":"P.M. Pardalos","year":"1991","unstructured":"Pardalos, P.M., Vavasis, S.A.: Quadratic programming with one negative eigenvalue is NP-hard. Journal of Global Optimization\u00a01, 843\u2013855 (1991)","journal-title":"Journal of Global Optimization"},{"key":"1_CR52","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/0024-3795(91)90267-Z","volume":"152","author":"P.M. Pardalos","year":"1991","unstructured":"Pardalos, P.M., Ye, Y., Han, C.G.: Algorithms for the solution of quadratic knapsack problems. Linear Algebra & its Applications\u00a0152, 69\u201391 (1991)","journal-title":"Linear Algebra & its Applications"},{"key":"1_CR53","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1137\/S1052623495291793","volume":"8","author":"D.T. Pham","year":"1998","unstructured":"Pham, D.T., Le Thi, H.A.: D.c. optimization algorithm for solving the trust region subproblem. SIAM J. on Optimization\u00a08, 1\u201330 (1998)","journal-title":"SIAM J. on Optimization"},{"key":"1_CR54","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/BF01106607","volume":"6","author":"T.Q. Phong","year":"1995","unstructured":"Phong, T.Q., Pham, D.T., Le Thi, H.A.: A method for solving d.c. programming problems. Application to fuel mixture nonconvex optimization problem. J. of Global Optimization\u00a06, 87\u2013105 (1995)","journal-title":"J. of Global Optimization"},{"key":"1_CR55","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1023\/A:1008377529330","volume":"13","author":"U. Raber","year":"1998","unstructured":"Raber, U.: A simplicial branch and bound method for solving nonconvex all-quadratic programs. J. of Global Optimization\u00a013, 417\u2013432 (1998)","journal-title":"J. of Global Optimization"},{"key":"1_CR56","first-page":"273","volume":"77","author":"F. Rendl","year":"1997","unstructured":"Rendl, F., Wolkowicz, H.: A semidefinite framwork for trust region subproblems with applications to large scale minimization. Mathematical Programming (Serie B)\u00a077, 273\u2013299 (1997)","journal-title":"Mathematical Programming (Serie B)"},{"key":"1_CR57","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1137\/0203021","volume":"3","author":"S. Sahni","year":"1974","unstructured":"Sahni, S.: Computationally related problems. SIAM J. Comput.\u00a03, 262\u2013279 (1974)","journal-title":"SIAM J. Comput."},{"key":"1_CR58","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1137\/0403036","volume":"3","author":"H.D. Sherali","year":"1990","unstructured":"Sherali, H.D., Adams, W.P.: A hierarchy of relations between the continuous and convex hull representations of zero-one programming problems. SIAM J. Discrete Mathematics\u00a03, 411\u2013430 (1990)","journal-title":"SIAM J. Discrete Mathematics"},{"key":"1_CR59","doi-asserted-by":"crossref","unstructured":"Sherali, H.D., Adams, W.P.: A refomulation-linearization technique for solving discrete and continuous nonconvex problems. Kluwer Academic Publihers (1999)","DOI":"10.1007\/978-1-4757-4388-3"},{"key":"1_CR60","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01100203","volume":"7","author":"H.D. Sherali","year":"1995","unstructured":"Sherali, H.D., Tuncbilek, C.H.: A reformulation-convexification approach for solving nonconvex quadratic programming problems. J. of Global Optimization\u00a07, 1\u201331 (1995)","journal-title":"J. of Global Optimization"},{"key":"1_CR61","doi-asserted-by":"crossref","unstructured":"Shor, N.Z.: Nondifferentiable optimization and polynomial problems. Kluwer Academic Publihers (1998)","DOI":"10.1007\/978-1-4757-6015-6"},{"key":"1_CR62","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1023\/A:1014004625997","volume":"23","author":"N.Z. Shor","year":"2002","unstructured":"Shor, N.Z., Stetsyuk, P.I.: Lagrangian bounds in multiextremal polynomial and discrete optimization problems. J. of Global Optimization\u00a023, 1\u201341 (2002)","journal-title":"J. of Global Optimization"},{"key":"1_CR63","doi-asserted-by":"publisher","first-page":"286","DOI":"10.1137\/0805016","volume":"5","author":"R. Stern","year":"1995","unstructured":"Stern, R., Wolkowicz, H.: Indefinite trust region subproblems and nonsymmetric eigenvalue perturbation. SIAM J. Optimization\u00a05, 286\u2013313 (1995)","journal-title":"SIAM J. Optimization"},{"key":"1_CR64","doi-asserted-by":"crossref","unstructured":"Takeda, A., Dai, Y., Fukuda, M., Kojima, M.: Towards the implementation of successive convex relaxation method for nonconvex quadratic optimization problems. In: Pardalos, P. (ed.) Approximation and Complexity in Numerical Optimization: Continuous and Discrete Problems. Kluwer Academic Publishers (2000)","DOI":"10.1007\/978-1-4757-3145-3_28"},{"key":"1_CR65","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1023\/A:1020299805773","volume":"24","author":"A. Takeda","year":"2002","unstructured":"Takeda, A., Fujisawa, K., Fukaya, Y., Kojima, M.: Parallel implementation of successive convex relation methods for quadratic optimization problems. J. of Global Optimization\u00a024, 237\u2013260 (2002)","journal-title":"J. of Global Optimization"},{"key":"1_CR66","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1023\/A:1018364802456","volume":"10","author":"N.V. Thoai","year":"1998","unstructured":"Thoai, N.V.: Global Optimization Techniques for Solving the General Quadratic Integer Programming Problem. Computational Optimization and Applications\u00a010, 149\u2013163 (1998)","journal-title":"Computational Optimization and Applications"},{"key":"1_CR67","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1023\/A:1026437621223","volume":"107","author":"N.V. Thoai","year":"2000","unstructured":"Thoai, N.V.: Duality Bound Method for the General Quadratic Programming Problem with Quadratic Constraints. Journal of Optimization Theory and Applications\u00a0107, 331\u2013354 (2000)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR68","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1023\/A:1014865432210","volume":"113","author":"N.V. Thoai","year":"2002","unstructured":"Thoai, N.V.: Convergence and Application of a Decomposition Method Using Duality Bounds for Nonconvex Global Optimization. Journal of Optimization Theory and Applications\u00a0113, 165\u2013193 (2002)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"1_CR69","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1137\/1038003","volume":"38","author":"L. Vandenberghe","year":"1996","unstructured":"Vandenberghe, L., Boyd, S.: Semidefinite Programming. SIAM Review\u00a038, 49\u201395 (1996)","journal-title":"SIAM Review"},{"key":"1_CR70","doi-asserted-by":"publisher","first-page":"1419","DOI":"10.1016\/0098-1354(90)80021-3","volume":"14","author":"V. Visweswaran","year":"1990","unstructured":"Visweswaran, V., Floudas, C.A.: A global optimization algorithm (GOP) for certain classes of nonconvex NLPs- II. Application of theory and test problems. Computers and Chemical Engineering\u00a014, 1419\u20131434 (1990)","journal-title":"Computers and Chemical Engineering"},{"key":"1_CR71","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1023\/A:1008293029350","volume":"13","author":"Y. Yajima","year":"1998","unstructured":"Yajima, Y., Fujie, T.: A polyhedral approach for nonconvex quadratic programming problems with box constraints. Journal of Gloabl Optimization\u00a013, 151\u2013170 (1998)","journal-title":"Journal of Gloabl Optimization"}],"container-title":["Studies in Computational Intelligence","Advanced Computational Methods for Knowledge Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-00293-4_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,28]],"date-time":"2023-01-28T02:13:31Z","timestamp":1674872011000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-00293-4_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783319002927","9783319002934"],"references-count":71,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-00293-4_1","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"type":"print","value":"1860-949X"},{"type":"electronic","value":"1860-9503"}],"subject":[],"published":{"date-parts":[[2013]]}}}