{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T21:37:04Z","timestamp":1649194624917},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,5,10]],"date-time":"2012-05-10T00:00:00Z","timestamp":1336608000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2012,11]]},"DOI":"10.1007\/s10957-012-0069-7","type":"journal-article","created":{"date-parts":[[2012,5,9]],"date-time":"2012-05-09T17:00:37Z","timestamp":1336582837000},"page":"430-452","source":"Crossref","is-referenced-by-count":1,"title":["Beyond Canonical DC-Optimization: The Single Reverse Polar Problem"],"prefix":"10.1007","volume":"155","author":[{"given":"Giancarlo","family":"Bigi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antonio","family":"Frangioni","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qinghua","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,5,10]]},"reference":[{"key":"69_CR1","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0167-6377(95)00037-X","volume":"18","author":"H. Tuy","year":"1995","unstructured":"Tuy, H.: Canonical DC programming problem: outer approximation methods revisited. Oper. Res. Lett. 18, 99\u2013106 (1995)","journal-title":"Oper. Res. Lett."},{"key":"69_CR2","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/978-1-4615-2025-2_4","volume-title":"Handbook of Global Optimization, Nonconvex Optimization and Its Applications","author":"H. Tuy","year":"1995","unstructured":"Tuy, H.: D.C. optimization: theory, methods and algorithms. In: Horst, R., Pardalos, P.M. (eds.) Handbook of Global Optimization, Nonconvex Optimization and Its Applications, vol. 2, pp. 149\u2013216. Kluwer Academic Publishers, Dordrecht (1995)"},{"key":"69_CR3","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/s10898-009-9415-1","volume":"46","author":"G. Bigi","year":"2010","unstructured":"Bigi, G., Frangioni, A., Zhang, Q.H.: Outer approximation algorithms for canonical DC problems. J.\u00a0Glob. Optim. 46, 163\u2013189 (2010)","journal-title":"J.\u00a0Glob. Optim."},{"key":"69_CR4","doi-asserted-by":"crossref","first-page":"395","DOI":"10.1016\/0377-2217(90)90250-F","volume":"44","author":"J. Fulop","year":"1990","unstructured":"Fulop, J.: A finite cutting plane method for solving linear programs with an additional reverse constraint. Eur. J. Oper. Res. 44, 395\u2013409 (1990)","journal-title":"Eur. J. Oper. Res."},{"key":"69_CR5","first-page":"241","volume":"11","author":"M.D. Nghia","year":"1986","unstructured":"Nghia, M.D., Hieu, N.D.: A method for solving reverse convex programming problems. Acta Math. Vietnam. 11, 241\u2013252 (1986)","journal-title":"Acta Math. Vietnam."},{"key":"69_CR6","first-page":"97","volume":"87","author":"P.D. Tao","year":"1989","unstructured":"Tao, P.D., El Bernoussi, S.: Numerical methods for solving a class of global nonconvex optimization problems. Int. Ser. Numer. Math. 87, 97\u2013132 (1989)","journal-title":"Int. Ser. Numer. Math."},{"key":"69_CR7","first-page":"35","volume":"10","author":"P.T. Thach","year":"1985","unstructured":"Thach, P.T.: Convex programs with several additional reverse convex constraints. Acta Math. Vietnam. 10, 35\u201357 (1985)","journal-title":"Acta Math. Vietnam."},{"key":"69_CR8","series-title":"North-Holland Math. Stud.","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/S0304-0208(08)72403-4","volume-title":"FERMAT Days 85: Mathematics for Optimization","author":"H. Tuy","year":"1986","unstructured":"Tuy, H.: A general deterministic approach to global optimization via d.c. programming. In: Hiriart-Urruty, J.B. (ed.) FERMAT Days 85: Mathematics for Optimization. North-Holland Math. Stud., vol. 129, pp. 273\u2013303. North-Holland, Toulouse (1986)"},{"key":"69_CR9","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1007\/BF00938217","volume":"52","author":"H. Tuy","year":"1987","unstructured":"Tuy, H.: Convex programs with an additional reverse convex constraint. J.\u00a0Optim. Theory Appl. 52, 463\u2013486 (1987)","journal-title":"J.\u00a0Optim. Theory Appl."},{"key":"69_CR10","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1007\/BF00122050","volume":"2","author":"H. Tuy","year":"1992","unstructured":"Tuy, H.: On nonconvex optimization problems with separated nonconvex variables. J.\u00a0Glob. Optim. 2, 133\u2013144 (1992)","journal-title":"J.\u00a0Glob. Optim."},{"key":"69_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-2809-5","volume-title":"Convex Analysis and Global Optimization","author":"H. Tuy","year":"1998","unstructured":"Tuy, H.: Convex Analysis and Global Optimization. Kluwer Academic, Dordrecht (1998)"},{"key":"69_CR12","first-page":"99","volume":"20","author":"H. Tuy","year":"1995","unstructured":"Tuy, H., Tam, B.T.: Polyhedral annexation vs outer approximation for the decomposition of monotonic quasiconcave minimization problems. Acta Math. Vietnam. 20, 99\u2013114 (1995)","journal-title":"Acta Math. Vietnam."},{"key":"69_CR13","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1287\/moor.1090.0406","volume":"34","author":"R. Blanquero","year":"2009","unstructured":"Blanquero, R., Carrizosa, E., Hansen, P.: Locating objects in the plane using global optimization techniques. Math. Oper. Res. 34, 837\u2013858 (2009)","journal-title":"Math. Oper. Res."},{"key":"69_CR14","first-page":"377","volume":"3","author":"D. Wozabal","year":"2010","unstructured":"Wozabal, D., Hochreiter, R., Pflug, G.C.: A difference of convex formulation of value-at-risk constrained optimization. OR Spektrum 3, 377\u2013400 (2010)","journal-title":"OR Spektrum"},{"key":"69_CR15","doi-asserted-by":"crossref","unstructured":"Hu, J.: On linear programs with linear complementarity constraints. Ph.D. thesis, Rensselaer Polytechnic Institute (2008)","DOI":"10.1137\/07068463x"},{"key":"69_CR16","unstructured":"Lu, Z.S., Zhang, Y.: Penalty decomposition methods for l 0-norm minimization. Computing Research Repository arxiv.org\/abs\/1105.2782 , Cornell University Library (2010)"},{"key":"69_CR17","doi-asserted-by":"crossref","DOI":"10.1201\/9781420035933","volume-title":"Subset Selection in Regression","author":"A. Miller","year":"2002","unstructured":"Miller, A.: Subset Selection in Regression. Chapman and Hall, London (2002)"},{"key":"69_CR18","doi-asserted-by":"crossref","first-page":"1030","DOI":"10.1109\/TIT.2005.864420","volume":"52","author":"J. Tropp","year":"2006","unstructured":"Tropp, J.: Convex programming methods for identifying sparse signals in noise. IEEE Trans. Inf. Theory 52, 1030\u20131051 (2006)","journal-title":"IEEE Trans. Inf. Theory"},{"key":"69_CR19","doi-asserted-by":"crossref","first-page":"3768","DOI":"10.1137\/080725258","volume":"47","author":"L.S. Han","year":"2009","unstructured":"Han, L.S., Tiwari, A., Camlibel, M.K., Pang, J.S.: Convergence of time-stepping schemes for passive and extended linear complementarity systems. SIAM J. Numer. Anal. 47, 3768\u20133796 (2009)","journal-title":"SIAM J. Numer. Anal."},{"key":"69_CR20","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1137\/07068463x","volume":"19","author":"J. Hu","year":"2008","unstructured":"Hu, J., Mitchell, J.E., Pang, J.S., Bennett, K.P., Kunapuli, G.: On the global solution of linear programs with linear complementarity constraints. SIAM J. Optim. 19, 445\u2013471 (2008)","journal-title":"SIAM J. Optim."},{"key":"69_CR21","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1016\/0377-2217(93)E0217-L","volume":"82","author":"A. Frangioni","year":"1995","unstructured":"Frangioni, A.: On a new class of bilevel programming problems and its use for reformulating mixed integer problems. Eur. J. Oper. Res. 82, 615\u2013646 (1995)","journal-title":"Eur. J. Oper. Res."},{"key":"69_CR22","unstructured":"Zhang, Q.H.: Outer approximation algorithms for DC programs and beyond. Ph.D. thesis, Universit\u00e0 di Pisa (2008)"},{"key":"69_CR23","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1080\/10556780903178048","volume":"25","author":"G. Bigi","year":"2010","unstructured":"Bigi, G., Frangioni, A., Zhang, Q.H.: Approximate optimality conditions and stopping criteria in canonical DC programming. Optim. Methods Softw. 25, 19\u201327 (2010)","journal-title":"Optim. Methods Softw."},{"key":"69_CR24","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02598-7","volume-title":"Global Optimization","author":"R. Horst","year":"1990","unstructured":"Horst, R., Tuy, H.: Global Optimization. Springer, Berlin (1990)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0069-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-012-0069-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0069-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,15]],"date-time":"2022-01-15T08:33:17Z","timestamp":1642235597000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-012-0069-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5,10]]},"references-count":24,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,11]]}},"alternative-id":["69"],"URL":"https:\/\/doi.org\/10.1007\/s10957-012-0069-7","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5,10]]}}}