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Volumn 12, Issue 1-3, 1999, Pages 41-51

A Note on Error Bounds for Convex and Nonconvex Programs

Author keywords

Convex programming; Duality; Error bounds; Optimization

Indexed keywords


EID: 0041544835     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1007/978-1-4615-5197-3_4     Document Type: Article
Times cited : (6)

References (12)
  • 2
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    • A unified analysis of Hoffman's error bound via Fenchel duality
    • J.V. Burke and P. Tseng, "A unified analysis of Hoffman's error bound via Fenchel duality," SIAM J. on Optimization, vol. 6, pp. 265-282, 1996.
    • (1996) SIAM J. on Optimization , vol.6 , pp. 265-282
    • Burke, J.V.1    Tseng, P.2
  • 4
    • 0000699491 scopus 로고
    • On approximate solutions of systems of linear inequalities
    • A.J. Hoffman, "On approximate solutions of systems of linear inequalities," Natl. Bur. Standards, vol. 49, pp. 263-265, 1952.
    • (1952) Natl. Bur. Standards , vol.49 , pp. 263-265
    • Hoffman, A.J.1
  • 5
    • 0043031229 scopus 로고    scopus 로고
    • Asymptotic constraint qualifications and global error bounds for convex inequalities
    • to appear
    • D. Klatte and W. Li, "Asymptotic constraint qualifications and global error bounds for convex inequalities," Math. Programming, 1997, to appear.
    • (1997) Math. Programming
    • Klatte, D.1    Li, W.2
  • 6
    • 0002449351 scopus 로고    scopus 로고
    • Error bounds for convex inequality systems
    • J.P. Crouzeix, J.-E. Martinez-Legaz, and M. Volle (Eds.), June Kluwer Academic Publishers
    • A.S. Lewis and J.-S. Pang, "Error bounds for convex inequality systems," in Proceedings of the Fifth Symposium on Generalized Convexity, Luminy, J.P. Crouzeix, J.-E. Martinez-Legaz, and M. Volle (Eds.), June 1996, Kluwer Academic Publishers, 1998, pp. 75-110.
    • (1996) Proceedings of the Fifth Symposium on Generalized Convexity, Luminy , pp. 75-110
    • Lewis, A.S.1    Pang, J.-S.2
  • 7
    • 0031285679 scopus 로고    scopus 로고
    • Abadie's constraint qualification, metric regularity, and error bounds for differentiable convex inequalities
    • W. Li, "Abadie's constraint qualification, metric regularity, and error bounds for differentiable convex inequalities," SIAM J. on Optimization, vol. 7, pp. 966-978, 1997.
    • (1997) SIAM J. on Optimization , vol.7 , pp. 966-978
    • Li, W.1
  • 8
    • 0001145260 scopus 로고
    • Extension of Hoffman's error bound to polynomial systems
    • X.-D. Luo and Z.-Q. Luo, "Extension of Hoffman's error bound to polynomial systems," SIAM J. on Optimization, vol. 4, pp. 383-392, 1994.
    • (1994) SIAM J. on Optimization , vol.4 , pp. 383-392
    • Luo, X.-D.1    Luo, Z.-Q.2
  • 9
    • 0003095772 scopus 로고
    • Error bound and convergence analysis of matrix splitting algorithms for the affine variational inequality problem
    • Z.-Q. Luo and P. Tseng, "Error bound and convergence analysis of matrix splitting algorithms for the affine variational inequality problem," SIAM J. on Optimization, vol. 2, pp. 43-54, 1992.
    • (1992) SIAM J. on Optimization , vol.2 , pp. 43-54
    • Luo, Z.-Q.1    Tseng, P.2
  • 10
    • 0026839499 scopus 로고
    • On the linear convergence of convex essentially smooth minimization
    • 1992
    • Z.-Q. Luo and P. Tseng, 1992. "On the linear convergence of convex essentially smooth minimization," SIAM J. on Control and Optimization, vol. 30, pp. 408-425, 1992.
    • (1992) SIAM J. on Control and Optimization , vol.30 , pp. 408-425
    • Luo, Z.-Q.1    Tseng, P.2
  • 11
    • 0042543870 scopus 로고    scopus 로고
    • Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification
    • O.L. Mangasarian, "Error bounds for nondifferentiable convex inequalities under a strong Slater constraint qualification," Mathematical Programming, vol. 83, pp. 187-194, 1998.
    • (1998) Mathematical Programming , vol.83 , pp. 187-194
    • Mangasarian, O.L.1
  • 12
    • 0000150038 scopus 로고    scopus 로고
    • Error bounds in mathematical programming
    • J.-S. Pang, "Error bounds in mathematical programming," Math. Programming, vol. 79, pp. 299-332, 1997.
    • (1997) Math. Programming , vol.79 , pp. 299-332
    • Pang, J.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.