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Volumn 11, Issue 2, 2005, Pages 129-135

Linear interval equations: Midpoint preconditioning may produce a 100% overestimation for arbitrarily narrow data even in case n = 4

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR SYSTEMS; MATRIX ALGEBRA; SET THEORY; THEOREM PROVING; VECTORS;

EID: 18244375229     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11155-005-3033-5     Document Type: Article
Times cited : (3)

References (9)
  • 1
    • 0041395700 scopus 로고
    • Ph.D. thesis, Massachusetts Institute of Technology, Cambridge
    • Blick, C.: Computer Methods for Design Automation, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, 1992.
    • (1992) Computer Methods for Design Automation
    • Blick, C.1
  • 2
    • 0026938266 scopus 로고
    • Bounding the solution of interval linear equations
    • Hansen, E. R.: Bounding the Solution of Interval Linear Equations, SIAM Journal on Numerical Analysis 29 (1992), pp. 1493-1503.
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , pp. 1493-1503
    • Hansen, E.R.1
  • 3
    • 0005781413 scopus 로고    scopus 로고
    • A simple derivation of the Hansen-Bliek-Rohn-Ning-Kearfott enclosure for linear interval equations
    • Neumaier, A.: A Simple Derivation of the Hansen-Bliek-Rohn-Ning-Kearfott Enclosure for Linear Interval Equations, Reliable Computing 5 (2) (1999), pp. 131-136.
    • (1999) Reliable Computing , vol.5 , Issue.2 , pp. 131-136
    • Neumaier, A.1
  • 4
    • 0000374464 scopus 로고    scopus 로고
    • A comparison of some methods for solving linear interval equations
    • Ning, S. and Kearfott, R. B.: A Comparison of Some Methods for Solving Linear Interval Equations, SIAM Journal on Numerical Analysis 34 (1997), pp. 1289-1305.
    • (1997) SIAM Journal on Numerical Analysis , vol.34 , pp. 1289-1305
    • Ning, S.1    Kearfott, R.B.2
  • 5
    • 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
  • 6
    • 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
  • 7
    • 0003137832 scopus 로고
    • Cheap and tight bounds: The recent result by E. Hansen can be made more efficient
    • Rohn, J.: Cheap and Tight Bounds: The Recent Result by E. Hansen Can Be Made More Efficient, Interval Computations 4 (1993), pp. 13-21.
    • (1993) Interval Computations , vol.4 , pp. 13-21
    • Rohn, J.1
  • 9
    • 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.