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Volumn 199, Issue 2, 2007, Pages 310-316

Inner and outer bounds for the solution set of parametric linear systems

Author keywords

C XSC; Inner estimation; Parametric linear systems; Validated software

Indexed keywords

C-XSC; INNER ESTIMATION; PARAMETRIC LINEAR SYSTEMS; VALIDATED SOFTWARE;

EID: 33749650826     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.08.048     Document Type: Article
Times cited : (33)

References (12)
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  • 2
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    • Fundamentals of SIGLA, an interval computing system over the completed set of intervals
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  • 4
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    • W. Hofschuster, W. Krämer, C-XSC 2.0 - A C ++ class library for extended scientific computing, in: R. Alt, et al., (Eds.), Numerical Software with Result Verification, Lecture Notes in Computer Science, vol. 2991, Springer, Berlin, 2004, pp. 15-35.
  • 5
    • 0002411910 scopus 로고
    • Interval analysis in the extended interval space IR
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    • (1980) Computing , vol.2 , Issue.SUPPL , pp. 33-49
    • Kaucher, E.1
  • 7
    • 33749654500 scopus 로고    scopus 로고
    • R. Muhanna, et al., Penalty-based solution for the interval finite element, presentation at First Scandinavian Workshop on Interval Methods and their Applications, TU Denmark, 2003 〈http://www.imm.dtu.dk/∼km/int-03/Slides/〉.
  • 8
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    • E.D. Popova, Strong regularity of parametric interval matrices, in: Mathematics and Education in Mathematics, Proceedings of the 33rd Spring Conference of UBM, Borovetz, 2004, 446-451 〈http://www.math.bas.bg/∼epopova/papers/〉.
  • 9
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    • Generalizing the parametric fixed-point iteration
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  • 10
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    • E.D. Popova, W. Krämer, Parametric fixed-point iteration implemented in C-XSC, preprint 2003/03, WRSWT, Universität Wuppertal, 2003, 1-27.
  • 11
    • 78149317502 scopus 로고
    • Rigorous sensitivity analysis for systems of linear and nonlinear equations
    • Rump S. Rigorous sensitivity analysis for systems of linear and nonlinear equations. Math. Comput. 54 190 (1990) 721-736
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  • 12
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    • Verification methods for dense and sparse systems of equations
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    • Rump S. Verification methods for dense and sparse systems of equations. In: Herzberger J. (Ed). Topics in Validated Computations (1994), North-Holland, Amsterdam 63-135
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    • Rump, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.