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Mathematics of Computation
Volumn 66, Issue 220, 1997, Pages 1555-1560
B-splines and optimal stability
Author keywords

B splines; Condition number; Nonnegative matrices; Optimal stability; Partial ordering
Indexed keywords

EID: 0040453764     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-97-00897-1     Document Type: Article
Times cited : (38)
References (9)
  • 1
    • 0000215503 scopus 로고
    • The exact condition of the B-spline basis may be hard to determine
    • MR 91h:65023
    • C. de Boor, The exact condition of the B-spline basis may be hard to determine, J. Approx. Theory 60 (1990), 334-359. MR 91h:65023
    • (1990) J. Approx. Theory , vol.60 , pp. 334-359
    • De Boor, C.1
  • 2
    • 0000396870 scopus 로고
    • Shape preserving representations and optimality of the Bernstein basis
    • MR 94i:65138
    • J. M. Carnicer and J. M. Peña, Shape preserving representations and optimality of the Bernstein basis, Adv. Comput. Math. 1 (1993), 173-196. MR 94i:65138
    • (1993) Adv. Comput. Math. , vol.1 , pp. 173-196
    • Carnicer, J.M.1    Peña, J.M.2
  • 3
    • 21344493989 scopus 로고
    • Least supported bases and local linear independence
    • MR 95d:65012
    • J. M. Carnicer and J. M. Peña, Least supported bases and local linear independence, Numer. Math. 67 (1994), 289-301. MR 95d:65012
    • (1994) Numer. Math. , vol.67 , pp. 289-301
    • Carnicer, J.M.1    Peña, J.M.2
  • 4
    • 0028736414 scopus 로고
    • Totally positive bases for shape preserving curve design and optimality of B-splines
    • MR 951:65033
    • J. M. Carnicer and J. M. Peña, Totally positive bases for shape preserving curve design and optimality of B-splines, Comput. Aided Geom. Design 11 (1994), 633-654. MR 951:65033
    • (1994) Comput. Aided Geom. Design , vol.11 , pp. 633-654
    • Carnicer, J.M.1    Peña, J.M.2
  • 5
    • 0001967871 scopus 로고    scopus 로고
    • Total positivity and optimal bases
    • M. Gasca, C.A. Micchelli, eds., Kluwer Academic Press, Dordrecht, CMP 97:04
    • J. M. Carnicer and J. M. Peña, Total positivity and optimal bases, Total positivity and its applications (M. Gasca, C.A. Micchelli, eds.), Kluwer Academic Press, Dordrecht, 1996, pp. 133-155. CMP 97:04
    • (1996) Total Positivity and Its Applications , pp. 133-155
    • Carnicer, J.M.1    Peña, J.M.2
  • 6
    • 0030516403 scopus 로고    scopus 로고
    • On the optimal stability of the Bernstein basis
    • MR 97a:65021
    • R. T. Farouki and T. N. T. Goodman, On the optimal stability of the Bernstein basis, Math. Comp. 65 (1996), 1553-1566. MR 97a:65021
    • (1996) Math. Comp. , vol.65 , pp. 1553-1566
    • Farouki, R.T.1    Goodman, T.N.T.2
  • 7
    • 0023455805 scopus 로고
    • On the numerical condition of polynomials in Bernstein form
    • MR 89a:65028
    • R. T. Farouki and V. T. Rajan, On the numerical condition of polynomials in Bernstein form, Comput. Aided Geom. Design 4 (1987), 191-216. MR 89a:65028
    • (1987) Comput. Aided Geom. Design , vol.4 , pp. 191-216
    • Farouki, R.T.1    Rajan, V.T.2
  • 8
    • 0013004221 scopus 로고
    • Condition Numbers for B-splines
    • Numerical Analysis 1989 (D. F. Griffiths and G. A. Watson, eds.) Essex, CMP 91:17
    • T. Lyche, Condition Numbers for B-splines, Numerical Analysis 1989 (D. F. Griffiths and G. A. Watson, eds.), Longman Scientific and Technical, Essex, 1990, pp. 182-192. CMP 91:17
    • (1990) Longman Scientific and Technical , pp. 182-192
    • Lyche, T.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.