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Volumn 3, Issue 3, 1997, Pages 315-323

Complexity of Some Linear Problems with Interval Data

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EID: 0343624831     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009987227018     Document Type: Article
Times cited : (19)

References (20)
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    • Bareiss, E.F.1
  • 2
    • 85059770931 scopus 로고
    • The Complexity of Theorem-Proving Procedures
    • Association for Computing Machinery, New York
    • Cook, S. A.: The Complexity of Theorem-Proving Procedures, in: Proceedings of the 3rd Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, New York, 1971, pp. 151-158.
    • (1971) Proceedings of the 3rd Annual ACM Symposium on Theory of Computing , pp. 151-158
    • Cook, S.A.1
  • 5
    • 0041611626 scopus 로고
    • Zur Lösung linearer Ungleichungssysteme bei Störung der rechten Seite und der Koeffizientenmatrix
    • Gerlach, W.: Zur Lösung linearer Ungleichungssysteme bei Störung der rechten Seite und der Koeffizientenmatrix, Mathematische Operationsforschung und Statistik, Series Optimization 12 (1981), pp. 41-43.
    • (1981) Mathematische Operationsforschung und Statistik, Series Optimization , vol.12 , pp. 41-43
    • Gerlach, W.1
  • 7
    • 0000564361 scopus 로고
    • A Polynomial Algorithm in Linear Programming
    • in Russian
    • Khachiyan, L. G.: A Polynomial Algorithm in Linear Programming, Doklady Akademii Nauk SSSR 244 (1979), pp. 1093-1096 (in Russian).
    • (1979) Doklady Akademii Nauk SSSR , vol.244 , pp. 1093-1096
    • Khachiyan, L.G.1
  • 9
    • 0002478269 scopus 로고    scopus 로고
    • NP-Hard Classes of Linear Algebraic Systems with Uncertainties
    • Lakeyev, A. V. and Kreinovich, V.: NP-Hard Classes of Linear Algebraic Systems with Uncertainties, Reliable Computing 3 (1) (1997), pp. 51-81.
    • (1997) Reliable Computing , vol.3 , Issue.1 , pp. 51-81
    • Lakeyev, A.V.1    Kreinovich, V.2
  • 11
    • 33845220799 scopus 로고
    • Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right-Hand Sides
    • Oettli, W. and Prager, W.: Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right-Hand Sides, Numerische Mathematik 6 (1964), pp. 405-409.
    • (1964) Numerische Mathematik , vol.6 , pp. 405-409
    • Oettli, W.1    Prager, W.2
  • 13
    • 0009221638 scopus 로고
    • Checking Positive Definiteness or Stability of Symmetric Interval Matrices is NP-Hard
    • Rohn, J.: Checking Positive Definiteness or Stability of Symmetric Interval Matrices is NP-Hard, Commentationes Mathematicae Universitatis Carolinae 35 (1994), pp. 795-797.
    • (1994) Commentationes Mathematicae Universitatis Carolinae , vol.35 , pp. 795-797
    • Rohn, J.1
  • 14
    • 2342482567 scopus 로고
    • Technical Report 642, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague
    • Rohn, J.: Linear Programming with Inexact Data is NP-Hard, Technical Report 642, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, 1995.
    • (1995) Linear Programming with Inexact Data is NP-Hard
    • Rohn, J.1
  • 15
    • 0003844298 scopus 로고
    • Technical Report 619, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague
    • Rohn, J.: NP-Hardness Results for Some Linear and Quadratic Problems, Technical Report 619, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, 1995.
    • (1995) NP-Hardness Results for Some Linear and Quadratic Problems
    • Rohn, J.1
  • 16
    • 0005206735 scopus 로고    scopus 로고
    • Technical Report 686, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague
    • Rohn, J.: Checking Properties of Interval Matrices, Technical Report 686, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, 1996.
    • (1996) Checking Properties of Interval Matrices
    • Rohn, J.1
  • 18
    • 21844503702 scopus 로고
    • Computing Exact Componentwise Bounds on Solutions of Linear Systems with Interval Data is NP-Hard
    • Rohn, J. and Kreinovich, V.: Computing Exact Componentwise Bounds on Solutions of Linear Systems with Interval Data is NP-Hard, SIAM Journal on Matrix Analysis and Applications 16 (1995), pp. 415-420.
    • (1995) SIAM Journal on Matrix Analysis and Applications , vol.16 , pp. 415-420
    • Rohn, J.1    Kreinovich, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.