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Volumn 8, Issue 6, 2002, Pages 453-468

Symbolic preconditioning with Taylor models: Some examples

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; MATHEMATICAL MODELS; OPTIMIZATION;

EID: 0036896550     PISSN: 13853139     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021364526413     Document Type: Article
Times cited : (6)

References (22)
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    • Berz, M.1    Hoffstätter, G.2
  • 4
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    • Corliss, G.F.: GlobSol entry page, http://www.mscs.mu.edu/̃globsol/, 1998.
    • (1998)
    • Corliss, G.F.1
  • 5
    • 0001797179 scopus 로고    scopus 로고
    • Rigorous global search: Industrial applications
    • Kluwer Academic Publishers, Dordrecht
    • Corliss, G.F. and Kearfott, R.B.: Rigorous Global Search: Industrial Applications, in: Developments in Reliable Computing, Kluwer Academic Publishers, Dordrecht, 2000, pp. 1-16.
    • (2000) Developments in Reliable Computing , pp. 1-16
    • Corliss, G.F.1    Kearfott, R.B.2
  • 6
    • 0030718240 scopus 로고    scopus 로고
    • Preconditioning linearized equations
    • Hansen, E.R.: Preconditioning Linearized Equations, Computing 58 (1997), pp. 187-196.
    • (1997) Computing , vol.58 , pp. 187-196
    • Hansen, E.R.1
  • 7
    • 0035305981 scopus 로고    scopus 로고
    • A limitation for underestimation via twin arithmetic
    • Hertling, P.: A Limitation for Underestimation via Twin Arithmetic, Reliable Computing 7 (2) (2001), pp. 157-169.
    • (2001) Reliable Computing , vol.7 , Issue.2 , pp. 157-169
    • Hertling, P.1
  • 9
    • 0002089855 scopus 로고
    • A fortran 90 environment for research and prototyping of enclosure algorithms for nonlinear equations and global optimization
    • Kearfott, R.B.: A Fortran 90 Environment for Research and Prototyping of Enclosure Algorithms for Nonlinear Equations and Global Optimization, ACM Trans. Math. Software 21 (1) (1995), pp. 63-78.
    • (1995) ACM Trans. Math. Software , vol.21 , Issue.1 , pp. 63-78
    • Kearfott, R.B.1
  • 10
    • 0031082710 scopus 로고    scopus 로고
    • Empirical evaluation of innovations in interval branch and bound algorithms for nonlinear algebraic systems
    • Kearfott, R.B.: Empirical Evaluation of Innovations in Interval Branch and Bound Algorithms for Nonlinear Algebraic Systems, SIAM J. Sci. Comput. 18 (2) (1997), pp. 574-594.
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.2 , pp. 574-594
    • Kearfott, R.B.1
  • 13
    • 0028754553 scopus 로고
    • Algorithm 737: INTLIB, a portable FORTRAN 77 interval standard function library
    • Kearfott, R.B., Dawande, M., Du, K.-S., and Hu, C.-Y.: Algorithm 737: INTLIB, A Portable FORTRAN 77 Interval Standard Function Library, ACM Trans. Math. Software 20 (4) (1994), pp. 447-459.
    • (1994) ACM Trans. Math. Software , vol.20 , Issue.4 , pp. 447-459
    • Kearfott, R.B.1    Dawande, M.2    Du, K.-S.3    Hu, C.-Y.4
  • 14
    • 0001847776 scopus 로고    scopus 로고
    • Efficient control of the dependency problem based on taylor model methods
    • Makino, K. and Berz, M.: Efficient Control of the Dependency Problem Based on Taylor Model Methods, Reliable Computing 5 (1) (1999), pp. 3-12.
    • (1999) Reliable Computing , vol.5 , Issue.1 , pp. 3-12
    • Makino, K.1    Berz, M.2
  • 17
    • 0011850118 scopus 로고    scopus 로고
    • Interval and twin arithmetics
    • Nesterov, V.M.: Interval and Twin Arithmetics, Reliable Computing 3 (4) (1997), pp. 369-380.
    • (1997) Reliable Computing , vol.3 , Issue.4 , pp. 369-380
    • Nesterov, V.M.1
  • 19
    • 0003210539 scopus 로고
    • Constrained global optimization: Algorithms and applications
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    • Pardalos, P.M.1    Rosen, J.B.2
  • 21
    • 0000607541 scopus 로고
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    • Ratz, D. and Csendes, T: On the Selection of Subdivision Directions in Interval Branch-and-Bound Methods for Global Optimization, J. Global Optim. 7 (1995), pp. 183-207.
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    • Ratz, D.1    Csendes, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.