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Volumn 12, Issue 4, 2006, Pages 303-321

Computational experience with rigorous error bounds for the netlib linear programming library

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DATA REDUCTION; DIGITAL ARITHMETIC; LINEAR PROGRAMMING; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33746930599     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-006-9004-7     Document Type: Article
Times cited : (8)

References (21)
  • 2
    • 0042770452 scopus 로고
    • Technical Report 7830, Abteilung Mathematik, TU München
    • Beeck, H.: Linear Programming with Inexact Data, Technical Report 7830, Abteilung Mathematik, TU München, 1978.
    • (1978) Linear Programming with Inexact Data
    • Beeck, H.1
  • 5
    • 0040845857 scopus 로고
    • Experience with a primal presolve algorithm
    • Hager, W. W., Hearn, D. W., and Pardalos, P. M. (eds), Kluwer Academic Publishers, Norwell, Dordrecht
    • Fourer, R. and Gay, D. M.: Experience with a Primal Presolve Algorithm, in: Hager, W. W., Hearn, D. W., and Pardalos, P. M. (eds), Large Scale Optimization: State of the Art, Kluwer Academic Publishers, Norwell, Dordrecht, 1994, pp. 135-154.
    • (1994) Large Scale Optimization: State of the Art , pp. 135-154
    • Fourer, R.1    Gay, D.M.2
  • 6
    • 33746891971 scopus 로고    scopus 로고
    • Free Software Foundation: gcc, http://gcc.gnu.org.
  • 8
    • 0942277397 scopus 로고    scopus 로고
    • A rigorous lower bound for the optimal value of convex optimization problems
    • Jansson, C.: A Rigorous Lower Bound for the Optimal Value of Convex Optimization Problems, J. Global Optimization 28 (2004), pp. 121-137.
    • (2004) J. Global Optimization , vol.28 , pp. 121-137
    • Jansson, C.1
  • 9
    • 2942630897 scopus 로고    scopus 로고
    • Rigorous lower and upper bounds in linear programming
    • Jansson, C.: Rigorous Lower and Upper Bounds in Linear Programming, SIAM J. Optim. 14 (3) (2004), pp. 914-935.
    • (2004) SIAM J. Optim. , vol.14 , Issue.3 , pp. 914-935
    • Jansson, C.1
  • 12
    • 33746907164 scopus 로고    scopus 로고
    • Technical report, Inst. f. Informatik III, Technische Universität Hamburg-Harburg
    • Knüppel, O.: PROFIL/BIAS and Extensions, Version 2.0, Technical report, Inst. f. Informatik III, Technische Universität Hamburg-Harburg, 1998.
    • (1998) PROFIL/BIAS and Extensions, Version 2.0
    • Knüppel, O.1
  • 13
    • 84932348756 scopus 로고
    • Fehlerabschätzung bei linearer optimierung
    • Nickel, K. (ed.), Springer Verlag, Berlin
    • Krawczyk, R.: Fehlerabschätzung bei linearer Optimierung, in: Nickel, K. (ed.), Interval Mathematics, Lecture Notes in Computer Science 29, Springer Verlag, Berlin, 1975, pp. 215-222.
    • (1975) Interval Mathematics, Lecture Notes in Computer Science , vol.29 , pp. 215-222
    • Krawczyk, R.1
  • 16
    • 0003915794 scopus 로고
    • Encyclopedia of Mathematics and Its Applications, Cambridge University Press
    • Neumaier, A.: Interval Methods for Systems of Equations, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, 1990.
    • (1990) Interval Methods for Systems of Equations
    • Neumaier, A.1
  • 18
    • 2942655185 scopus 로고    scopus 로고
    • Complete search in continuous global optimization and constraint satisfaction
    • Neumaier, A.: Complete Search in Continuous Global Optimization and Constraint Satisfaction, Acta Numerica 13 (2004), pp. 271-369.
    • (2004) Acta Numerica , vol.13 , pp. 271-369
    • Neumaier, A.1
  • 19
    • 2942641986 scopus 로고    scopus 로고
    • Safe bounds in linear and mixed-integer programming
    • Neumaier, A. and Shcherbina, O.: Safe Bounds in Linear and Mixed-Integer Programming, Mathematical Programming, Ser. A 99 (2004), pp. 283-296.
    • (2004) Mathematical Programming, Ser. A , vol.99 , pp. 283-296
    • Neumaier, A.1    Shcherbina, O.2
  • 20
    • 2442587863 scopus 로고    scopus 로고
    • Computational experience and the explanatory value of condition measures for linear optimization
    • Ordóñez, F. and Freund, R.: Computational Experience and the Explanatory Value of Condition Measures for Linear Optimization, SIAM J. Optimization 14 (2) (2003), pp. 307-333.
    • (2003) SIAM J. Optimization , vol.14 , Issue.2 , pp. 307-333
    • Ordóñez, F.1    Freund, R.2
  • 21
    • 0003119522 scopus 로고
    • Solving algebraic problems with high accuracy. Habilitationsschrift
    • Kulisch, U. and Miranker, W. (eds), Academic Press, New York
    • Rump, S.: Solving Algebraic Problems with High Accuracy. Habilitationsschrift, in: Kulisch, U. and Miranker, W. (eds), A New Approach to Scientific Computation, Academic Press, New York, 1983, pp. 51-120.
    • (1983) A New Approach to Scientific Computation , pp. 51-120
    • Rump, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.