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Volumn 12, Issue , 2001, Pages 66-87

Numerical condition of polynomials in different forms

Author keywords

Iterative refinement algorithm; Polynomial basis; Polynomial equation; Pseudozero set

Indexed keywords


EID: 0012455347     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (15)
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    • Edelman, A.1    Murakami, H.2
  • 4
    • 0023455805 scopus 로고
    • On the numerical condition of polynomials in Bernstein form
    • R. FAROUKI AND V. RAJAN, On the numerical condition of polynomials in Bernstein form, Comput. Aided Geom. Design, 4(1987), pp. 191-216.
    • (1987) Comput. Aided Geom. Design , vol.4 , pp. 191-216
    • Farouki, R.1    Rajan, V.2
  • 5
    • 0024030404 scopus 로고
    • Algorithms for polynomials in Bernstein form
    • Algorithms for polynomials in Bernstein form, Comput. Aided Geom. Design, 5 (1988), pp. 1-26.
    • (1988) Comput. Aided Geom. Design , vol.5 , pp. 1-26
  • 6
    • 0012411229 scopus 로고
    • Questions of numerical condition related to polynomials
    • Studies in Numerical Analysis, G. H. Golub, ed.
    • W. GAUTSCHI, Questions of numerical condition related to polynomials, in Studies in Numerical Analysis, G. H. Golub, ed., MAA Studies in Math., 24 (1984), pp. 140-177.
    • (1984) MAA Studies in Math. , vol.24 , pp. 140-177
    • Gautschi, W.1
  • 8
    • 84976695368 scopus 로고
    • Algorithm 419: Zeros of a complex polynomial
    • M. A. JENKINS AND J. TRAUE, Algorithm 419: Zeros of a complex polynomial, Comm. ACM, 15 (1972), pp. 97-99.
    • (1972) Comm. ACM , vol.15 , pp. 97-99
    • Jenkins, M.A.1    Traue, J.2
  • 9
    • 0027667665 scopus 로고
    • A bibliography on roots of polynomials
    • J. McNAMEE, A bibliography on roots of polynomials, J. Comput. Appl. Math., 47 (1993), pp. 391-394.
    • (1993) J. Comput. Appl. Math. , vol.47 , pp. 391-394
    • McNamee, J.1
  • 10
    • 84966227128 scopus 로고
    • Root neighborhoods of a polynomial
    • R. MOSIER, Root neighborhoods of a polynomial. Math. Comp., 47 (1986), pp. 265-273.
    • (1986) Math. Comp. , vol.47 , pp. 265-273
    • Mosier, R.1
  • 11
    • 0031169815 scopus 로고    scopus 로고
    • Solving a polynomial equation: Some history and recent progress
    • V. Y. PAN, Solving a polynomial equation: some history and recent progress, SIAM Rev., 39 (1997), pp. 187220.
    • (1997) SIAM Rev. , vol.39 , pp. 187220
    • Pan, V.Y.1
  • 12
    • 84968516104 scopus 로고
    • Laguerre's method applied to the matrix eigenvalue problem
    • B. PARLETT, Laguerre's method applied to the matrix eigenvalue problem. Math. Comp., 18 (1964), pp. 464485.
    • (1964) Math. Comp. , vol.18 , pp. 464485
    • Parlett, B.1
  • 13
    • 21844522403 scopus 로고
    • Pseudozeros of polynomials and pseudospectra of companion matrices
    • K. C. TOH AND L. N. TREFETHEN, Pseudozeros of polynomials and pseudospectra of companion matrices, Numer. Math., 68 (1994), pp. 403-425.
    • (1994) Numer. Math. , vol.68 , pp. 403-425
    • Toh, K.C.1    Trefethen, L.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.