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Volumn 192, Issue , 1998, Pages 23-36

The shape of the solution set for systems of interval linear equations with dependent coefficients

Author keywords

Interval analysis; Linear interval equations; Quantifier elimination; Semialgebraic sets; Solution set; Symmetric linear equation systems; Systems with dependent coefficients

Indexed keywords


EID: 0012268082     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19981920103     Document Type: Article
Times cited : (25)

References (17)
  • 3
    • 0012321768 scopus 로고    scopus 로고
    • The shape of the symmetric solution set
    • R.B. KEARFOTT, V. KREINOVICH (Eds.), Kluwer, Boston, MA
    • ALEFELD, G., KREINOVICH, V., and MAYER, G.: The Shape of the Symmetric Solution Set, In: R.B. KEARFOTT, V. KREINOVICH (Eds.), Applications of Interval Computations, Kluwer, Boston, MA, 1996, pp. 61-80
    • (1996) Applications of Interval Computations , pp. 61-80
    • Alefeld, G.1    Kreinovich, V.2    Mayer, G.3
  • 4
    • 21844486434 scopus 로고
    • On the symmetric and unsymmetric solution set of interval systems
    • ALEFELD, G., and Mayer, G.: On the Symmetric and Unsymmetric Solution Set of Interval Systems, SIAM J. Matrix Anal. Appl. 16 (1995)
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16
    • Alefeld, G.1    Mayer, G.2
  • 7
    • 0039318109 scopus 로고
    • Über struktur und abschätzungen der lösungsmenge von linearen gleichungssystemen mit intervallkoeffizienten
    • BEECK, H.: Über Struktur und Abschätzungen der Lösungsmenge von linearen Gleichungssystemen mit Intervallkoeffizienten, Computing 10 (1972)
    • (1972) Computing , vol.10
    • Beeck, H.1
  • 8
    • 0001412970 scopus 로고
    • Concerning the solution set of acursive greek chi = b where P ≤ A ≤ Q and p ≤ b ≤ q
    • HARTFIEL, D. J.: Concerning the Solution Set of Acursive Greek chi = b where P ≤ A ≤ Q and p ≤ b ≤ q, Numer. Math. 35 (1980)
    • (1980) Numer. Math. , vol.35
    • Hartfiel, D.J.1
  • 9
    • 0025725943 scopus 로고
    • Interval linear systems with symmetric matrices, skew - symmetric matrices and dependencies in the right - hand side
    • JANSSON, C.: Interval Linear Systems with Symmetric Matrices, Skew - Symmetric Matrices and Dependencies in the Right - Hand Side, Computing 46 (1991)
    • (1991) Computing , vol.46
    • Jansson, C.1
  • 12
    • 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 No. 1 (1993)
    • (1993) Interval Computations , Issue.1
    • Kreinovich, V.1    Lakeyev, A.V.2    Noskov, S.I.3
  • 14
    • 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, Numer. Math. 6 (1964)
    • (1964) Numer. Math. , vol.6
    • Oettli, W.1    Prager, W.2
  • 16
    • 0001096069 scopus 로고
    • A new decision method for elementary algebra
    • SEIDENBERG, A.: A New Decision Method for Elementary Algebra, Annals of Math. 60 (1954)
    • (1954) Annals of Math. , vol.60
    • Seidenberg, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.