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Volumn 3, Issue 1, 1997, Pages 51-81

NP-Hard Classes of Linear Algebraic Systems with Uncertainties

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EID: 0002478269     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009938325229     Document Type: Article
Times cited : (9)

References (16)
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    • Beckenbach, E.F.1    Bellman, R.2
  • 4
    • 0000564361 scopus 로고
    • A Polynomial-Time Algorithm for Linear Programming
    • Khachiyan, L. G.: A Polynomial-Time Algorithm for Linear Programming, Soviet Math. Dokl. 20 (1) (1979), pp. 191-194.
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  • 6
    • 0002561242 scopus 로고
    • Optimal Solution of Interval Linear Systems is Intractable (NP-Hard)
    • Kreinovich, V., Lakeyev, A. V., and Noskov, S. I.: Optimal Solution of Interval Linear Systems is Intractable (NP-Hard), Interval Computations 1 (1993), pp. 6-14.
    • (1993) Interval Computations , vol.1 , pp. 6-14
    • Kreinovich, V.1    Lakeyev, A.V.2    Noskov, S.I.3
  • 8
    • 2342486666 scopus 로고
    • A Description of the Set of Solutions of a Linear Equation with Interval Defined Operator and Right-Hand Side
    • Lakeyev, A. V. and Noskov, S. I.: A Description of the Set of Solutions of a Linear Equation with Interval Defined Operator and Right-Hand Side, Russian Acad. Sci. Dokl. Math. 47 (3) (1993), pp. 518-523.
    • (1993) Russian Acad. Sci. Dokl. Math. , vol.47 , Issue.3 , pp. 518-523
    • Lakeyev, A.V.1    Noskov, S.I.2
  • 9
    • 0002640702 scopus 로고
    • On the Set of Solutions of the Linear Equation with the Intervally Given Operator and the Right-Hand Side
    • in Russian
    • Lakeyev, A. V. and Noskov, S. I.: On the Set of Solutions of the Linear Equation with the Intervally Given Operator and the Right-Hand Side, Siberian Math. J. 35 (5) (1994), pp. 1074-1084 (in Russian).
    • (1994) Siberian Math. J. , vol.35 , Issue.5 , pp. 1074-1084
    • Lakeyev, A.V.1    Noskov, S.I.2
  • 10
    • 33845220799 scopus 로고
    • Compatibility of Approximate Solution of Linear Equations with Given Error Bounds for Coefficients and Right-Hand Sides
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    • (1964) Num. Math. , vol.6 , pp. 405-409
    • Oettli, W.1    Prager, W.2
  • 12
    • 0003113960 scopus 로고
    • Systems of Linear Interval Equations
    • Rohn, J.: Systems of Linear Interval Equations, Linear Algebra and its Applications 126 (1989), pp. 39-78.
    • (1989) Linear Algebra and Its Applications , vol.126 , pp. 39-78
    • Rohn, J.1
  • 13
    • 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 J. Matrix Anal. Appl. 16 (2) (1995), pp. 415-420.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , Issue.2 , pp. 415-420
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  • 14
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    • Optimal Solution of Interval Linear Algebraic Systems. I
    • Shary, S. P.: Optimal Solution of Interval Linear Algebraic Systems. I, Interval Computations 2 (1991), pp. 7-30.
    • (1991) Interval Computations , vol.2 , pp. 7-30
    • Shary, S.P.1
  • 15
    • 2342532068 scopus 로고
    • A New Class of Algorithms for Optimal Solution of Interval Linear Systems
    • Shary, S. P.: A New Class of Algorithms for Optimal Solution of Interval Linear Systems, Interval Computations 2 (4) (1992), pp. 18-29.
    • (1992) Interval Computations , vol.2 , Issue.4 , pp. 18-29
    • Shary, S.P.1
  • 16
    • 2342459017 scopus 로고
    • Solving Interval Linear Systems with Nonnegative Matrices
    • Markov, S. M. (ed.), DATECS Publishing, Sofia
    • Shary, S. P.: Solving Interval Linear Systems with Nonnegative Matrices, in: Markov, S. M. (ed.), Proc. of the Conference "Scientific Computation and Mathematical Modelling", DATECS Publishing, Sofia, 1993, 179-181.
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    • Shary, S.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.