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Volumn 1, Issue 1, 2007, Pages 49-59

Improved sdp bounds for minimizing quadratic functions over the ℓ1-ball

Author keywords

[No Author keywords available]

Indexed keywords

COPOSITIVE; EIGENVALUE BOUNDS; QUADRATIC FORM; QUADRATIC FUNCTION; QUADRATIC OPTIMIZATION;

EID: 49749147099     PISSN: 18624472     EISSN: 18624480     Source Type: Journal    
DOI: 10.1007/s11590-006-0018-1     Document Type: Article
Times cited : (8)

References (9)
  • 1
    • 27744568236 scopus 로고    scopus 로고
    • D.C. Versus copositive bounds for standard QP
    • Anstreicher, K., Burer, S.: D.C. Versus Copositive Bounds for Standard QP. J. Global Optim. 33, 299-312 (2005)
    • (2005) J. Global Optim , vol.33 , pp. 299-312
    • Anstreicher, K.1    Burer, S.2
  • 2
    • 0002106815 scopus 로고
    • On non-negative forms in real variables some or all of which are non-negative
    • Diananda, P.H.: On non-negative forms in real variables some or all of which are non-negative. Proc. Cambridge Philos. Soc. 58, 17-25 (1967)
    • (1967) Proc. Cambridge Philos. Soc , vol.58 , pp. 17-25
    • Diananda, P.H.1
  • 3
    • 26444611520 scopus 로고    scopus 로고
    • Portfolio selection via replicator dynamics and projections of indefinite estimated covariances
    • Bomze, I.M.: Portfolio selection via replicator dynamics and projections of indefinite estimated covariances. Dyn. Contin. Discret. Impuls. Syst. B 12, 527-564 (2005)
    • (2005) Dyn. Contin. Discret. Impuls. Syst. B , vol.12 , pp. 527-564
    • Bomze, I.M.1
  • 4
    • 0011565238 scopus 로고    scopus 로고
    • On copositive programming and standard quadratic optimization problems
    • Bomze, I.M., Dür, M., de Klerk, E., Quist, A., Roos, C., Terlaky, T.: On copositive programming and standard quadratic optimization problems. J. Global Optim. 18, 301-320 (2000)
    • (2000) J. Global Optim , vol.18 , pp. 301-320
    • Bomze, I.M.1    Dür, M.2    de Klerk, E.3    Quist, A.4    Roos, C.5    Terlaky, T.6
  • 5
    • 31244435061 scopus 로고    scopus 로고
    • Solving standard quadratic optimization problems via linear, semidefinite and copositive programming
    • Bomze, I.M., de Klerk, E.: Solving standard quadratic optimization problems via linear, semidefinite and copositive programming. J. Global Optim. 24, 163-185 (2002)
    • (2002) J. Global Optim , vol.24 , pp. 163-185
    • Bomze, I.M.1    de Klerk, E.2
  • 6
    • 43949115654 scopus 로고    scopus 로고
    • Technical Report distr 2005/10, Dipartimento di Informatica e Sistemistica "Antonio Ruberti", Universitá degli Studi di Roma "La Sapienza", also available at
    • Bomze, I.M., Locatelli, M., Tardella, F.: Efficient and cheap bounds for (Standard) Quadratic Optimization, Technical Report dis tr 2005/10, Dipartimento di Informatica e Sistemistica "Antonio Ruberti", Universitá degli Studi di Roma "La Sapienza", also available at www.optimizationonline.org/DB_HTML/2005/07/1176.html (2005)
    • (2005) Efficient and Cheap Bounds For (Standard) Quadratic Optimization
    • Bomze, I.M.1    Locatelli, M.2    Tardella, F.3
  • 7
    • 84972535723 scopus 로고
    • Block diagonally dominant matrices and generalizations of the gerschgorin circle theorem
    • Feingold, D.G., Varga, R.S.: Block diagonally dominant matrices and generalizations of the gerschgorin circle theorem. Pacific J. Mathe. 12, 1241-1250 (1962)
    • (1962) Pacific J. Mathe , vol.12 , pp. 1241-1250
    • Feingold, D.G.1    Varga, R.S.2
  • 8
    • 1542366818 scopus 로고    scopus 로고
    • Global quadratic optimization via conic relaxation
    • Wolkowicz, H., Saigal, R., Vandenberghe, L. (eds.), Kluwer Academic Publishers, Dordrecht
    • Nesterov, Yu.: Global quadratic optimization via conic relaxation. In:Wolkowicz, H., Saigal, R., Vandenberghe, L. (eds.) Handbook of Semidefinite Programming, pp. 363-387. Kluwer Academic Publishers, Dordrecht (2000)
    • (2000) Handbook of Semidefinite Programming , pp. 363-387
    • Nesterov, Y.1
  • 9
    • 0033296299 scopus 로고    scopus 로고
    • Using SeDuMi 1.02, aMATLAB Toolbox for Optimization Over Symmetric Cones
    • Sturm, J.F.: Using SeDuMi 1.02, aMATLAB Toolbox for Optimization Over Symmetric Cones. Optim. Methods Softw. 11-12, 625-653 (1999)
    • (1999) Optim. Methods Softw , Issue.11-12 , pp. 625-653
    • Sturm, J.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.