메뉴 건너뛰기




Volumn 79, Issue 1, 2007, Pages 53-60

Comparison of the Hansen-Sengupta and the Frommer-Lang-Schnurr existence tests

Author keywords

Existence test; Interval analysis; Nonlinear systems of equations

Indexed keywords

EXISTENCE TESTS; INTERVAL ANALYSIS; MIRANDA THEOREM; NONLINEAR SYSTEMS OF EQUATIONS;

EID: 33847239152     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-006-0217-8     Document Type: Article
Times cited : (15)

References (11)
  • 2
    • 33847222668 scopus 로고    scopus 로고
    • Alefeld, G., Potra, F. A., Shen, Z.: On the existence theorems of Kantorovich, Moore and Miranda. In: Topics in Numerical Analysis with Special Emphasis on Nonlinear Problems (Alefeld, G., Chen, X., eds.), pp. 21-28. Computing Suppl. 2001.
    • Alefeld, G., Potra, F. A., Shen, Z.: On the existence theorems of Kantorovich, Moore and Miranda. In: Topics in Numerical Analysis with Special Emphasis on Nonlinear Problems (Alefeld, G., Chen, X., eds.), pp. 21-28. Computing Suppl. 2001.
  • 3
    • 3042828486 scopus 로고    scopus 로고
    • A comparison of the Moore and Miranda existence tests
    • Frommer, A., Lang, B., Schnurr, M.: A comparison of the Moore and Miranda existence tests. Computing 72, 349-354 (2004).
    • (2004) Computing , vol.72 , pp. 349-354
    • Frommer, A.1    Lang, B.2    Schnurr, M.3
  • 4
    • 8844238861 scopus 로고    scopus 로고
    • A lucid interval
    • Hayes, B.: A lucid interval. American Scientist 91(6), 484-488 (2003).
    • (2003) American Scientist , vol.91 , Issue.6 , pp. 484-488
    • Hayes, B.1
  • 5
    • 0002244789 scopus 로고    scopus 로고
    • Interval computations: Introduction, uses, and resources
    • Kearfott, R. B.: Interval computations: Introduction, uses, and resources. Euromath Bull. 2(1), 95-112 (1996).
    • (1996) Euromath Bull , vol.2 , Issue.1 , pp. 95-112
    • Kearfott, R.B.1
  • 6
    • 0003025632 scopus 로고
    • Un' osservazione su un teorema di Brouwer
    • Miranda, C.: Un' osservazione su un teorema di Brouwer. Bolletino Unione Mathematica Italiana 2(3), 5-7 (1940).
    • (1940) Bolletino Unione Mathematica Italiana , vol.2 , Issue.3 , pp. 5-7
    • Miranda, C.1
  • 7
    • 0010051249 scopus 로고
    • A simple test for accuracy of approximate solutions to nonlinear (or linear) systems
    • Moore, R. E., Kioustelidis, J.: A simple test for accuracy of approximate solutions to nonlinear (or linear) systems, SIAM J. Numer. Anal. 17(4), 521-529 (1980).
    • (1980) SIAM J. Numer. Anal , vol.17 , Issue.4 , pp. 521-529
    • Moore, R.E.1    Kioustelidis, J.2
  • 9
    • 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. Reliab. Comp. 5, 131-136 (1999).
    • (1999) Reliab. Comp , vol.5 , pp. 131-136
    • Neumaier, A.1
  • 10
    • 0000625735 scopus 로고
    • Sur certaines solutions particulières du problème des trois corps
    • Poincaré, H.: Sur certaines solutions particulières du problème des trois corps. Comptes rendus de l'Académie des sciences 97, 251-252 (1883).
    • (1883) Comptes rendus de l'Académie des sciences , vol.97 , pp. 251-252
    • Poincaré, H.1
  • 11
    • 17444391690 scopus 로고    scopus 로고
    • On the proofs of some statements concerning the theorems of Kantorovich, Moore and Miranda. Reliab. Comp
    • Schnurr, M.: On the proofs of some statements concerning the theorems of Kantorovich, Moore and Miranda. Reliab. Comp. 11, 77-85 (2005).
    • (2005) , vol.11 , pp. 77-85
    • Schnurr, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.