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Volumn 30, Issue 4, 2004, Pages 391-403

Hoffman's least error bounds for systems of linear inequalities

Author keywords

Normed space; System of linear inequalities; The least error bound

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MATHEMATICAL OPERATORS; SET THEORY; THEOREM PROVING;

EID: 14644391456     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10898-004-7020-x     Document Type: Article
Times cited : (12)

References (12)
  • 2
    • 0027656872 scopus 로고
    • Weak sharp minima in mathematical programming
    • Burke, J.V. and Ferris, M.C. (1993), Weak sharp minima in mathematical programming, SIAM. Control and Optim., 31, 1340-1359.
    • (1993) SIAM. Control and Optim. , vol.31 , pp. 1340-1359
    • Burke, J.V.1    Ferris, M.C.2
  • 3
    • 0030303841 scopus 로고    scopus 로고
    • A unified analysis of Hoffman's bound via Fenchel duality
    • Burke, J.V. and Tseng, P. (1996), A unified analysis of Hoffman's bound via Fenchel duality, SIAM Journal on Optimization, 6, 265-282.
    • (1996) SIAM Journal on Optimization , vol.6 , pp. 265-282
    • Burke, J.V.1    Tseng, P.2
  • 6
    • 0000019686 scopus 로고
    • Error bounds for solutions of linear equations and inequalities
    • Klatte, D. and Thiere, G. (1995), Error bounds for solutions of linear equations and inequalities, Mathematical Methods of Operations Research, 41, 191-214.
    • (1995) Mathematical Methods of Operations Research , vol.41 , pp. 191-214
    • Klatte, D.1    Thiere, G.2
  • 8
    • 38248998880 scopus 로고
    • The sharp lipschitz constants for feasible and optimal solutions of a perturbed linear program
    • Li, W. (1993), The sharp lipschitz constants for feasible and optimal solutions of a perturbed linear program, Linear Algebra and its Applications, 187, 15-40.
    • (1993) Linear Algebra and Its Applications , vol.187 , pp. 15-40
    • Li, W.1
  • 10
    • 0000150038 scopus 로고    scopus 로고
    • Error bounds in mathematical programming
    • Pang, J.S. (1997), Error bounds in mathematical programming, Mathematical Programming 79, 299-332.
    • (1997) Mathematical Programming , vol.79 , pp. 299-332
    • Pang, J.S.1
  • 11
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • Rockafellar, R.T. (1970), Convex Analysis, Princeton University Press, Princeton, NJ.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.