{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,24]],"date-time":"2024-04-24T16:10:10Z","timestamp":1713975010362},"reference-count":68,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2012,5,16]],"date-time":"2012-05-16T00:00:00Z","timestamp":1337126400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2013,9]]},"DOI":"10.1007\/s10898-012-9912-5","type":"journal-article","created":{"date-parts":[[2012,5,15]],"date-time":"2012-05-15T09:08:32Z","timestamp":1337072912000},"page":"251-277","source":"Crossref","is-referenced-by-count":0,"title":["Welfare-maximizing correlated equilibria using Kantorovich polynomials with sparsity"],"prefix":"10.1007","volume":"57","author":[{"given":"Fook Wai","family":"Kong","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ber\u00e7","family":"Rustem","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,5,16]]},"reference":[{"issue":"2","key":"9912_CR1","doi-asserted-by":"crossref","first-page":"286","DOI":"10.2307\/1969529","volume":"54","author":"J. Nash","year":"1951","unstructured":"Nash J.: Non-cooperative games. Ann. Math. 54(2), 286\u2013295 (1951)","journal-title":"Ann. Math."},{"issue":"10","key":"9912_CR2","doi-asserted-by":"crossref","first-page":"886","DOI":"10.1073\/pnas.38.10.886","volume":"38","author":"G. Debreu","year":"1952","unstructured":"Debreu G.: A social equilibrium existence theorem. Proc. Natl. Acad. Sci. 38(10), 886\u2013893 (1952)","journal-title":"Proc. Natl. Acad. Sci."},{"issue":"2","key":"9912_CR3","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1073\/pnas.38.2.121","volume":"38","author":"K. Fan","year":"1952","unstructured":"Fan K.: Fixed-point and minimax theorems in locally convex topological linear spaces. Proc. Natl. Acad. Sci. 38(2), 121\u2013126 (1952)","journal-title":"Proc. Natl. Acad. Sci."},{"issue":"1","key":"9912_CR4","first-page":"170","volume":"3","author":"I.L. Glicksberg","year":"1952","unstructured":"Glicksberg I.L.: A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points. Proc. Am. Math. Soc. 3(1), 170\u2013174 (1952)","journal-title":"Proc. Am. Math. Soc."},{"key":"9912_CR5","volume-title":"Game Theory","author":"D. Fudenberg","year":"1991","unstructured":"Fudenberg D., Tirole J.: Game Theory. The MIT Press, Cambridge (1991)"},{"key":"9912_CR6","doi-asserted-by":"crossref","DOI":"10.1515\/9781400822539","volume-title":"Supermodularity and Complementarity","author":"D.M. Topkis","year":"1998","unstructured":"Topkis D.M.: Supermodularity and Complementarity. Princeton University Press, Princeton (1998)"},{"issue":"1","key":"9912_CR7","doi-asserted-by":"crossref","first-page":"124","DOI":"10.1006\/game.1996.0044","volume":"14","author":"D. Monderer","year":"1996","unstructured":"Monderer D., Shapley L.S.: Potential games. Games Econ. Behav. 14(1), 124\u2013143 (1996)","journal-title":"Games Econ. Behav."},{"issue":"3","key":"9912_CR8","doi-asserted-by":"crossref","first-page":"520","DOI":"10.2307\/1911749","volume":"33","author":"J. Rosen","year":"1965","unstructured":"Rosen J.: Existence and uniqueness of equilibrium points for concave n-person games. Econometrica 33(3), 520\u2013534 (1965)","journal-title":"Econometrica"},{"issue":"5","key":"9912_CR9","doi-asserted-by":"crossref","first-page":"1074","DOI":"10.1109\/JSAC.2006.872889","volume":"24","author":"J. Huang","year":"2006","unstructured":"Huang J., Berry R.A., Honig M.L.: Distributed interference compensation for wireless networks. IEEE J. Sel. Areas Commun. 24(5), 1074\u20131084 (2006)","journal-title":"IEEE J. Sel. Areas Commun."},{"issue":"3","key":"9912_CR10","doi-asserted-by":"crossref","first-page":"1102","DOI":"10.1109\/TWC.2007.05464","volume":"6","author":"O. Popescu","year":"2007","unstructured":"Popescu O., Popescu D.C., Rose C.: Simultaneous water filling in mutually interfering systems. IEEE Trans. Wirel. Commun. 6(3), 1102\u20131113 (2007)","journal-title":"IEEE Trans. Wirel. Commun."},{"issue":"7","key":"9912_CR11","doi-asserted-by":"crossref","first-page":"1089","DOI":"10.1109\/JSAC.2008.080907","volume":"26","author":"G. Scutari","year":"2008","unstructured":"Scutari G., Palomar D.P., Barbarossa S.: Competitive design of multiuser MIMO systems based on game theory: a unified view. IEEE J. Sel. Areas Commun. 26(7), 1089\u20131103 (2008)","journal-title":"IEEE J. Sel. Areas Commun."},{"issue":"5","key":"9912_CR12","doi-asserted-by":"crossref","first-page":"1917","DOI":"10.1109\/TSP.2009.2013894","volume":"57","author":"G. Scutari","year":"2009","unstructured":"Scutari G., Palomar D.P., Barbarossa S.: The MIMO iterative waterfilling algorithm. IEEE Trans. Signal Process. 57(5), 1917\u20131935 (2009)","journal-title":"IEEE Trans. Signal Process."},{"key":"9912_CR13","volume-title":"Social Choice and Individual Values","author":"K.J. Arrow","year":"1963","unstructured":"Arrow K.J.: Social Choice and Individual Values. Yale University Press, New Heaven (1963)"},{"issue":"5","key":"9912_CR14","doi-asserted-by":"crossref","first-page":"1000","DOI":"10.1109\/JSAC.2006.872881","volume":"24","author":"R. Maheswaran","year":"2006","unstructured":"Maheswaran R., Ba\u015far T.: Efficient signal proportional allocation (ESPA) mechanisms: decentralized social welfare maximization for divisible resources. J. Sel. Areas Commun. 24(5), 1000\u20131009 (2006)","journal-title":"J. Sel. Areas Commun."},{"issue":"8","key":"9912_CR15","doi-asserted-by":"crossref","first-page":"2984","DOI":"10.1109\/TWC.2007.051043","volume":"6","author":"G. Arslan","year":"2007","unstructured":"Arslan G., Demirkol M.F., Song Y.: Equilibrium efficiency improvement in MIMO interference systems: a decentralized stream control approach. IEEE Trans. Wirel. Commun. 6(8), 2984\u20132993 (2007)","journal-title":"IEEE Trans. Wirel. Commun."},{"issue":"5","key":"9912_CR16","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1109\/MSP.2009.933496","volume":"26","author":"S. Lasaulce","year":"2009","unstructured":"Lasaulce S., Debbah M., Altman E.: Methodologies for analyzing equilibria in wireless games. IEEE Signal Process. Mag. 26(5), 41\u201352 (2009)","journal-title":"IEEE Signal Process. Mag."},{"issue":"1","key":"9912_CR17","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/0304-4068(74)90037-8","volume":"1","author":"R.J. Aumann","year":"1974","unstructured":"Aumann R.J.: Subjectivity and correlation in randomized strategies. J. Math. Econ. 1(1), 67\u201396 (1974)","journal-title":"J. Math. Econ."},{"issue":"1","key":"9912_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2307\/1911154","volume":"55","author":"R.J. Aumann","year":"1987","unstructured":"Aumann R.J.: Correlated equilibrium as an expression of Bayesian rationality. Econometrica 55(1), 1\u201318 (1987)","journal-title":"Econometrica"},{"issue":"4","key":"9912_CR19","first-page":"443","volume":"32","author":"R. Nau","year":"2004","unstructured":"Nau R., Canovas S.G., Hansen P.: On the geometry of Nash equilibria and correlated equilibria. Int. J. Game Theory 32(4), 443\u2013453 (2004)","journal-title":"Int. J. Game Theory"},{"issue":"1","key":"9912_CR20","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/j.geb.2006.04.007","volume":"59","author":"G. Stoltz","year":"2007","unstructured":"Stoltz G., Lugosi G.: Learning correlated equilibria in games with compact sets of strategies. Games Econ. Behav. 59(1), 187\u2013208 (2007)","journal-title":"Games Econ. Behav."},{"issue":"2","key":"9912_CR21","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1016\/j.geb.2010.04.004","volume":"71","author":"N.D. Stein","year":"2011","unstructured":"Stein N.D., Parrilo P.A., Ozdaglar A.: Correlated equilibria in continuous games: Characterization and computation. Games Econ. Behav. 71(2), 436\u2013455 (2011)","journal-title":"Games Econ. Behav."},{"key":"9912_CR22","doi-asserted-by":"crossref","unstructured":"Harsanyi, J.: Games of incomplete information played by \u201cBayesian\u201d Players, I\u2013III. Manag. Sci. 14(3, 5, 7), 159\u2013182, 320\u2013334, 486\u2013502, (1967, 1968, 1968)","DOI":"10.1287\/mnsc.14.7.486"},{"key":"9912_CR23","volume-title":"The New Palgrave Dictionary of Economics","author":"A. Brandenburger","year":"2008","unstructured":"Brandenburger A.: Epistemic game theory: an overview. In: Durlauf, S.N., Blume, L.E. (eds) The New Palgrave Dictionary of Economics, 2nd edn, Palgrave Macmillan, Basingstoke (2008)","edition":"2"},{"key":"9912_CR24","volume-title":"The New Palgrave Dictionary of Economics","author":"M. Siniscalchi","year":"2008","unstructured":"Siniscalchi M.: Epistemic game theory: beliefs and types. In: Durlauf, S.N., Blume, L.E. (eds) The New Palgrave Dictionary of Economics, 2nd edn, Palgrave Macmillan, Basingstoke (2008)","edition":"2"},{"key":"9912_CR25","volume-title":"The New Palgrave Dictionary of Economics","author":"A. Brandenburger","year":"2008","unstructured":"Brandenburger A.: Epistemic game theory: complete information. In: Durlauf, S.N., Blume, L.E. (eds) The New Palgrave Dictionary of Economics, 2nd edn, Palgrave Macmillan, Basingstoke (2008)","edition":"2"},{"key":"9912_CR26","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511571756","volume-title":"Rational Behavior and Bargaining Equilibrium in Games and Social Situations","author":"J.C. Harsanyi","year":"1977","unstructured":"Harsanyi J.C.: Rational Behavior and Bargaining Equilibrium in Games and Social Situations. Cambridge University Press, Cambridge (1977)"},{"issue":"4","key":"9912_CR27","doi-asserted-by":"crossref","first-page":"1007","DOI":"10.2307\/1911196","volume":"52","author":"D. Bernheim","year":"1984","unstructured":"Bernheim D.: Rationalizable strategic behavior. Econometrica 52(4), 1007\u20131028 (1984)","journal-title":"Econometrica"},{"issue":"4","key":"9912_CR28","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.2307\/1911197","volume":"52","author":"D.G. Pearce","year":"1984","unstructured":"Pearce D.G.: Rationalizable strategic behavior and the problem of perfection. Econometrica 52(4), 1029\u20131050 (1984)","journal-title":"Econometrica"},{"issue":"5","key":"9912_CR29","doi-asserted-by":"crossref","first-page":"1161","DOI":"10.2307\/2171725","volume":"63","author":"R.J. Aumann","year":"1995","unstructured":"Aumann R.J., Brandenburger A.: Epistemic conditions for Nash equilibrium. Econometrica 63(5), 1161\u20131180 (1995)","journal-title":"Econometrica"},{"key":"9912_CR30","unstructured":"Gintis, H.: Bayesian rationality and social epistemology. In: The Bounds of Reason: Game Theory and the Unification of the Behavioral Sciences, pp. 133\u2013146. Princeton University Press, Princeton (2009)"},{"issue":"6","key":"9912_CR31","doi-asserted-by":"crossref","first-page":"1391","DOI":"10.2307\/1913562","volume":"55","author":"A. Brandenburger","year":"1987","unstructured":"Brandenburger A., Dekel E.: Rationalizability and correlated equilibria. Econometrica 55(6), 1391\u20131402 (1987)","journal-title":"Econometrica"},{"key":"9912_CR32","volume-title":"Conventions: A philosophical study","author":"D. Lewis","year":"1969","unstructured":"Lewis D.: Conventions: A philosophical study. Harvard University Press, Cambridge (1969)"},{"issue":"6","key":"9912_CR33","doi-asserted-by":"crossref","first-page":"1236","DOI":"10.1214\/aos\/1176343654","volume":"4","author":"R.J. Aumann","year":"1976","unstructured":"Aumann R.J.: Agreeing to disagree. Ann. Stat. 4(6), 1236\u20131239 (1976)","journal-title":"Ann. Stat."},{"key":"9912_CR34","volume-title":"The Foundations of Statistics","author":"L. Savage","year":"1954","unstructured":"Savage L.: The Foundations of Statistics. Wiley, New York (1954)"},{"key":"9912_CR35","doi-asserted-by":"crossref","unstructured":"Hammond, P.J.: Consequentialism and Bayesian rationality in normal form games. In: Game Theory, Experience, Rationality: Foundations of Social Sciences, Economics and Ethics; In Honor of John C. Harsanyi, pp. 187\u2013196. Kluwer, Dordrecht (1998)","DOI":"10.1007\/978-94-017-1654-3_16"},{"issue":"1","key":"9912_CR36","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1017\/S0140525X09000284","volume":"32","author":"M. Oaksford","year":"2009","unstructured":"Oaksford M., Chater N.: Pr\u00e9cis of Bayesian rationality: the probabilistic approach to human reasoning. Behav. Brain Sci. 32(1), 69\u201384 (2009)","journal-title":"Behav. Brain Sci."},{"key":"9912_CR37","doi-asserted-by":"crossref","unstructured":"Han, Z., Pandana, C., Liu, K.J.R.: Distributive opportunistic spectrum access for cognitive radio using correlated equilibrium and no-regret learning. In: Proceedings of IEEE Wireless Communications and Networking Conference (WCNC), pp. 11\u201315, Hong Kong (2007)","DOI":"10.1109\/WCNC.2007.8"},{"key":"9912_CR38","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1007\/978-0-387-68832-9_11","volume-title":"Cognitive Wireless Communication Networks","author":"M. Maskery","year":"2007","unstructured":"Maskery M., Krishnamurthy V., Zhao Q.: Game theoretic learning and pricing for dynamic spectrum access in cognitive radio. In: Hossain, E., Bhargava, V.K. (eds) Cognitive Wireless Communication Networks, pp. 303\u2013325. Springer, Berlin (2007)"},{"key":"9912_CR39","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/978-0-387-68832-9_9","volume-title":"Cognitive Wireless Communication Networks","author":"Z. Han","year":"2007","unstructured":"Han Z.: Degrees of cooperation in dynamic spectrum access for distributed cognitive radios. In: Hossain, E., Bhargava, V.K. (eds) Cognitive Wireless Communication Networks, pp. 231\u2013270. Springer, Berlin (2007)"},{"issue":"12","key":"9912_CR40","doi-asserted-by":"crossref","first-page":"6086","DOI":"10.1109\/TSP.2008.929664","volume":"56","author":"V. Krishnamurthy","year":"2008","unstructured":"Krishnamurthy V., Maskery M., Yin G.: Decentralized adaptive filtering algorithms for sensor activation in an unattended ground sensor network. IEEE Trans. Signal Process. 56(12), 6086\u20136101 (2008)","journal-title":"IEEE Trans. Signal Process."},{"key":"9912_CR41","unstructured":"Belmega, E.V., Lasaulce, S., Debbah, M., Hj\u00f8rungnes, A.: Learning distributed power allocation policies in MIMO channels. In: European Signal Processing Conference (EUSIPCO). Invited paper, Aalborg (2010, Aug)"},{"issue":"5","key":"9912_CR42","doi-asserted-by":"crossref","first-page":"1127","DOI":"10.1111\/1468-0262.00153","volume":"68","author":"S. Hart","year":"2000","unstructured":"Hart S., Mas-Colell A.: A simple adaptive procedure leading to correlated equilibrium. Econometrica 68(5), 1127\u20131150 (2000)","journal-title":"Econometrica"},{"key":"9912_CR43","doi-asserted-by":"crossref","unstructured":"Hart, S., Mas-Colell, A.: A reinforcement procedure leading to correlated equilibrium. In: Economic Essays: A Festschrift for Werner Hildenbrand, pp. 181\u2013200 (2001)","DOI":"10.1007\/978-3-662-04623-4_12"},{"issue":"1","key":"9912_CR44","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/s10957-012-9988-6","volume":"153","author":"F.W. Kong","year":"2012","unstructured":"Kong F.W., Kleniati P.M., Rustem B.: Computation of correlated equilibrium with global-optimal expected social welfare. J. Optim. Theory Appl. 153(1), 237\u2013261 (2012)","journal-title":"J. Optim. Theory Appl."},{"issue":"3","key":"9912_CR45","doi-asserted-by":"crossref","first-page":"796","DOI":"10.1137\/S1052623400366802","volume":"11","author":"J.B. Lasserre","year":"2000","unstructured":"Lasserre J.B.: Global optimization with polynomials and the problem of moments. SIAM J. Optim. 11(3), 796\u2013817 (2000)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"9912_CR46","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1137\/050623802","volume":"17","author":"H. Waki","year":"2006","unstructured":"Waki H., Kim S., Kojima M., Muramatsu M.: Sums of squares and semidefinite programming relaxations for polynomial optimization problems with structured sparsity. SIAM J. Optim. 17(1), 218\u2013242 (2006)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"9912_CR47","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1023\/A:1006591824587","volume":"77","author":"L. Szili","year":"1997","unstructured":"Szili L.: On A.E. convergence of multivariate Kantorovich polynomials. Acta Mathematica Hungarica 77(1), 137\u2013146 (1997)","journal-title":"Acta Mathematica Hungarica"},{"issue":"3","key":"9912_CR48","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1007\/BF02836771","volume":"14","author":"U. Abel","year":"1998","unstructured":"Abel U.: Asymptotic approximation with Kantorovich polynomial. Approx. Theory Appl. 14(3), 106\u2013116 (1998)","journal-title":"Approx. Theory Appl."},{"key":"9912_CR49","unstructured":"Jeffreys, H., Jeffreys, B.S.: Weierstrass\u2019s theorem on approximation by polynomials. In: Methods of Mathematical Physics, Chapter Mean-Value Theorems, 3rd edn, pp. 446\u2013448. Cambridge University Press, Cambridge (1988)"},{"issue":"1","key":"9912_CR50","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1287\/moor.14.1.18","volume":"14","author":"S. Hart","year":"1989","unstructured":"Hart S., Schmeidler D.: Existence of correlated equilibria. Math. Oper. Res. 14(1), 18\u201325 (1989)","journal-title":"Math. Oper. Res."},{"key":"9912_CR51","volume-title":"Bernstein Polynomials","author":"G.G. Lorentz","year":"1986","unstructured":"Lorentz G.G.: Bernstein Polynomials, 2nd edn. Chelsea Publishing Company, New York (1986)","edition":"2"},{"issue":"3","key":"9912_CR52","doi-asserted-by":"crossref","first-page":"822","DOI":"10.1137\/05064504X","volume":"17","author":"J.B. Lasserre","year":"2006","unstructured":"Lasserre J.B.: Convergent SDP-relaxations in polynomial optimization with sparsity. SIAM J. Optim. 17(3), 822\u2013843 (2006)","journal-title":"SIAM J. Optim."},{"issue":"5","key":"9912_CR53","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1007\/s00013-007-2234-z","volume":"89","author":"D. Grimm","year":"2007","unstructured":"Grimm D., Netzer T., Schweighofer M.: A note on the representation of positive polynomials with structured sparsity. Archiv der Mathematik 89(5), 399\u2013403 (2007)","journal-title":"Archiv der Mathematik"},{"issue":"1","key":"9912_CR54","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1137\/1038003","volume":"38","author":"L. Vandenberghe","year":"1996","unstructured":"Vandenberghe L., Boyd S.: Semidefinite programming. SIAM Rev. 38(1), 49\u201395 (1996)","journal-title":"SIAM Rev."},{"issue":"1","key":"9912_CR55","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1080\/10556789908805765","volume":"11","author":"B. Borchers","year":"1999","unstructured":"Borchers B.: CSDP, A C library for semidefinite programming. Optim. Methods Softw. 11(1), 613\u2013623 (1999)","journal-title":"Optim. Methods Softw."},{"issue":"2","key":"9912_CR56","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/s10107-003-0387-5","volume":"96","author":"P.A. Parrilo","year":"2003","unstructured":"Parrilo P.A.: Semidefinite programming relaxations for semialgebraic problems. Math. Program. 96(2), 293\u2013320 (2003)","journal-title":"Math. Program."},{"key":"9912_CR57","volume-title":"Theory of Games and Economic Behavior","author":"J. Neumann von","year":"1944","unstructured":"von Neumann J., Morgenstern O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)"},{"key":"9912_CR58","volume-title":"A Course in Game Theory","author":"M.J. Osborne","year":"1994","unstructured":"Osborne M.J., Rubinstein A.: A Course in Game Theory. The MIT Press, Cambridge (1994)"},{"issue":"6","key":"9912_CR59","doi-asserted-by":"crossref","first-page":"2825","DOI":"10.1090\/S0002-9947-00-02472-7","volume":"352","author":"R.E. Curto","year":"2000","unstructured":"Curto R.E., Fialkow L.A.: The truncated complex K-moment problem. Trans. Am. Math. Soc. 352(6), 2825\u20132855 (2000)","journal-title":"Trans. Am. Math. Soc."},{"key":"9912_CR60","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1007\/978-0-387-09686-5_7","volume-title":"Emerging Applications of Algebraic Geometry. The IMA Volumes in Mathematics and its Applications, vol. 149","author":"M. Laurent","year":"2009","unstructured":"Laurent M.: Sums of squares, moment matrices and optimization over polynomials. In: Putinar, M., Sullivant, S. (eds) Emerging Applications of Algebraic Geometry. The IMA Volumes in Mathematics and its Applications, vol. 149, pp. 157\u2013270. Springer, Berlin (2009)"},{"issue":"11","key":"9912_CR61","doi-asserted-by":"crossref","first-page":"4285","DOI":"10.1090\/S0002-9947-02-03075-1","volume":"354","author":"S. Kuhlmann","year":"2002","unstructured":"Kuhlmann S., Marshall M.: Positivity, sums of squares and the multi-dimensional moment problem. Trans. Am. Math. Soc. 354(11), 4285\u20134302 (2002)","journal-title":"Trans. Am. Math. Soc."},{"issue":"3","key":"9912_CR62","doi-asserted-by":"crossref","first-page":"969","DOI":"10.1512\/iumj.1993.42.42045","volume":"42","author":"M. Putinar","year":"1993","unstructured":"Putinar M.: Positive polynomials on compact semi-algebraic sets. Indiana Univ. Math. J. 42(3), 969\u2013984 (1993)","journal-title":"Indiana Univ. Math. J."},{"issue":"1","key":"9912_CR63","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/j.jco.2006.07.002","volume":"23","author":"J. Nie","year":"2007","unstructured":"Nie J., Schweighofer M.: On the complexity of Putinar\u2019s positivstellensatz. J. Complex. 23(1), 135\u2013150 (2007)","journal-title":"J. Complex."},{"issue":"1","key":"9912_CR64","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1007\/s10107-004-0554-3","volume":"103","author":"M. Kojima","year":"2005","unstructured":"Kojima M., Kim S., Waki H.: Sparsity in sums of squares of polynomials. Math. Program. 103(1), 45\u201362 (2005)","journal-title":"Math. Program."},{"issue":"3","key":"9912_CR65","doi-asserted-by":"crossref","first-page":"697","DOI":"10.1137\/030601260","volume":"15","author":"S. Kim","year":"2005","unstructured":"Kim S., Kojima M., Waki H.: Generalized Lagrangian duals and sums of squares relaxations of sparse polynomial optimization problems. SIAM J. Optim. 15(3), 697\u2013719 (2005)","journal-title":"SIAM J. Optim."},{"issue":"3","key":"9912_CR66","doi-asserted-by":"crossref","first-page":"647","DOI":"10.1137\/S1052623400366218","volume":"11","author":"M. Fukuda","year":"2000","unstructured":"Fukuda M., Kojima M., Murota K., Nakata K.: Exploiting sparsity in semidefinite programming via matrix completion I: general framework. SIAM J. Optim. 11(3), 647\u2013674 (2000)","journal-title":"SIAM J. Optim."},{"issue":"1","key":"9912_CR67","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/s10107-005-0684-2","volume":"107","author":"C.W. Scherer","year":"2006","unstructured":"Scherer C.W., Hol C.W.J.: Matrix sum-of-squares relaxations for robust semi-definite programs. Math. Program. 107(1), 189\u2013211 (2006)","journal-title":"Math. Program."},{"issue":"1","key":"9912_CR68","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1109\/TIT.2003.821988","volume":"50","author":"W. Yu","year":"2004","unstructured":"Yu W., Rhee W., Boyd S., Cioffi J.M.: Iterative water-filling for Gaussian vector multiple-access channels. IEEE Trans. Inf. Theory 50(1), 145\u2013152 (2004)","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-012-9912-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-012-9912-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-012-9912-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,24]],"date-time":"2024-04-24T15:45:29Z","timestamp":1713973529000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-012-9912-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5,16]]},"references-count":68,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2013,9]]}},"alternative-id":["9912"],"URL":"https:\/\/doi.org\/10.1007\/s10898-012-9912-5","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5,16]]}}}