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Volumn 45, Issue 1-3, 2003, Pages 9-24

A statistical analysis of the numerical condition of multiple roots of polynomials

Author keywords

Average case componentwise condition number; Average case normwise number; Polynomial roots

Indexed keywords

APPROXIMATION THEORY; PERTURBATION TECHNIQUES; RANDOM PROCESSES; SENSITIVITY ANALYSIS; STATISTICAL METHODS;

EID: 0037287956     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(03)80003-2     Document Type: Article
Times cited : (7)

References (19)
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  • 6
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  • 8
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    • (1988) Mathematics of Computation , vol.50 , pp. 449-480
    • Demmel, J.W.1
  • 13
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  • 14
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    • Winkler, J.R.1
  • 15
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    • J.R. Winkler, Backward error analysis of the roots of polynomials, Neural, Parallel and Scientific Computations 7, 463-485, (1999); see also 9, 91-96, (2001).
    • (2001) Neural, Parallel and Scientific Computations , vol.9 , pp. 91-96
  • 16
    • 0035426230 scopus 로고    scopus 로고
    • Condition numbers of a nearly singular simple root of a polynomial
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    • Winkler, J.R.1
  • 17
    • 0001345156 scopus 로고
    • On condition numbers and the distance to the nearest ill-posed problem
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  • 18
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.