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Volumn 32, Issue 3, 2013, Pages 435-446

Some continuity notions for interval functions and representation

Author keywords

Bi continuity; Correctness; Interval analysis; Interval representation; Optimality; Semantics of intervals

Indexed keywords

TOPOLOGY;

EID: 84887546734     PISSN: 22383603     EISSN: 18070302     Source Type: Journal    
DOI: 10.1007/s40314-013-0049-z     Document Type: Article
Times cited : (15)

References (18)
  • 1
    • 4243473962 scopus 로고
    • PhD thesis, Instituto de Informática, Universidade Federal do Rio Grande do Sul, Dezembro 1991 (in Portuguese)
    • Acióly BM (1991) Computational foundations of interval mathematics. PhD thesis, Instituto de Informática, Universidade Federal do Rio Grande do Sul, Dezembro 1991 (in Portuguese).
    • (1991) Computational foundations of interval mathematics
    • Acióly, B.M.1
  • 2
    • 2342508440 scopus 로고    scopus 로고
    • A quasi-metric topology compatible with inclusion-monotonicity property on interval space
    • Acióly BM, Bedregal B (1997) A quasi-metric topology compatible with inclusion-monotonicity property on interval space. Reliab Comput 3(3): 305-313.
    • (1997) Reliab Comput , vol.3 , Issue.3 , pp. 305-313
    • Acióly, B.M.1    Bedregal, B.2
  • 5
    • 0000820904 scopus 로고    scopus 로고
    • Interval arithmetic: from principles to implementation
    • Hickey T, Ju Q, van Emdem MH (2001) Interval arithmetic: from principles to implementation. J ACM 48(5): 1038-1068.
    • (2001) J ACM , vol.48 , Issue.5 , pp. 1038-1068
    • Hickey, T.1    Ju, Q.2    van Emdem, M.H.3
  • 8
    • 0003406326 scopus 로고
    • PhD thesis, Department of Mathematics, Stanford University, Stanford, California, Nov 1962. Published as Applied Mathematics and Statistics Laboratories Technical Report No. 25
    • Moore RE (1962) Interval arithmetic and automatic error analysis in digital computing. PhD thesis, Department of Mathematics, Stanford University, Stanford, California, Nov 1962. Published as Applied Mathematics and Statistics Laboratories Technical Report No. 25.
    • (1962) Interval arithmetic and automatic error analysis in digital computing
    • Moore, R.E.1
  • 11
    • 34250864159 scopus 로고    scopus 로고
    • Comparing continuity of interval functions based on Moore and Scott topologies
    • Santiago RHN, Bedregal BRC, Acióly BM (2005) Comparing continuity of interval functions based on Moore and Scott topologies. Electron J Math Comput 2(1): 1-14.
    • (2005) Electron J Math Comput , vol.2 , Issue.1 , pp. 1-14
    • Santiago, R.H.N.1    Bedregal, B.R.C.2    Acióly, B.M.3
  • 12
    • 33646888201 scopus 로고    scopus 로고
    • Formal aspects of correctness and optimality in interval computations
    • Springer, Berlin
    • Santiago RHN, Bedregal BRC, Acióly BM (2006) Formal aspects of correctness and optimality in interval computations. Form Asp Comput 18(2): 231-243. Springer, Berlin.
    • (2006) Form Asp Comput , vol.18 , Issue.2 , pp. 231-243
    • Santiago, R.H.N.1    Bedregal, B.R.C.2    Acióly, B.M.3
  • 16
    • 0001744565 scopus 로고
    • Topology
    • In: Abramsky S, Maibaum TSE (eds) Claredon Press, Oxford
    • Smyth MB (1992) Topology. In: Abramsky S, Maibaum TSE (eds) Handbook of logic in computer science, vol 1, pp 641-761. Claredon Press, Oxford.
    • (1992) Handbook of logic in computer science , vol.1 , pp. 641-761
    • Smyth, M.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.