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Volumn 44, Issue 2, 2007, Pages 133-145

Generalized principal lattices and cubic pencils

Author keywords

Bivariate polynomial interpolation; Cubic pencil; Principal lattice

Indexed keywords


EID: 34250890775     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-007-9091-5     Document Type: Article
Times cited : (6)

References (16)
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    • Carnicer, J.M., Gasca, M.: Planar configurations with simple lagrange formulae. In: Lyche, T., Schumaker, L.L. (eds.), Mathematical Methods in CAGD: Oslo 2000, Vanderbilt University Press, Nashville, pp. 55-62 (2001)
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    • Carnicer, J.M.1    Gasca, M.2
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    • A conjecture on multivariate polynomial interpolation
    • Carnicer, J.M., Gasca, M.: A conjecture on multivariate polynomial interpolation. Rev. R. Acad. Cien. Serie A. Mat. 95, 145-153 (2001)
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    • Carnicer, J.M.1    Gasca, M.2
  • 6
    • 33750359988 scopus 로고    scopus 로고
    • On Chung and Yao's geometric characterization for bivariate polynomial interpolation
    • Lyche, T, Mazure, M.-L, Schumaker, L.L, eds, St. Malo, Nashboro Press, Nashville
    • Carnicer, J.M., Gasca, M.: On Chung and Yao's geometric characterization for bivariate polynomial interpolation. In: Lyche, T., Mazure, M.-L., Schumaker, L.L. (eds.), Curve and Surface Design: St. Malo 2002, pp. 21-30. Nashboro Press, Nashville (2003)
    • (2002) Curve and Surface Design , pp. 21-30
    • Carnicer, J.M.1    Gasca, M.2
  • 7
    • 17444374233 scopus 로고    scopus 로고
    • Generation of lattices of points for bivariate interpolation
    • Carnicer, J.M., Gasca, M.: Generation of lattices of points for bivariate interpolation. Numer. Algorithms 39, 69-79 (2005)
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    • Carnicer, J.M.1    Gasca, M.2
  • 8
    • 33645781599 scopus 로고    scopus 로고
    • Interpolation on lattices generated by cubic pencils
    • Carnicer, J.M., Gasca, M.: Interpolation on lattices generated by cubic pencils. Adv. Comp. Math. 24, 113-130 (2006)
    • (2006) Adv. Comp. Math , vol.24 , pp. 113-130
    • Carnicer, J.M.1    Gasca, M.2
  • 9
    • 31744440497 scopus 로고    scopus 로고
    • Interpolation lattices in several variables
    • Carnicer, J.M., Gasca, M., Sauer, T.: Interpolation lattices in several variables. Numer. Math. 102, 559-581 (2006)
    • (2006) Numer. Math , vol.102 , pp. 559-581
    • Carnicer, J.M.1    Gasca, M.2    Sauer, T.3
  • 10
    • 33750289096 scopus 로고    scopus 로고
    • Geometric characterization and generalized principal lattices
    • Carnicer, J.M., Godés, C.: Geometric characterization and generalized principal lattices. J. Approx. Theory 143, 2-14 (2006)
    • (2006) J. Approx. Theory , vol.143 , pp. 2-14
    • Carnicer, J.M.1    Godés, C.2
  • 11
    • 0000296729 scopus 로고
    • On lattices admitting unique Lagrange interpolation
    • Chung, K.C., Yao, T.H.: On lattices admitting unique Lagrange interpolation. SIAM J. Numer. Anal. 14, 735-743 (1977)
    • (1977) SIAM J. Numer. Anal , vol.14 , pp. 735-743
    • Chung, K.C.1    Yao, T.H.2
  • 12
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    • Eisenbud, D., Green, M., Harris, J.: Cayley-Bacharach theorems and conjectures. Bull. Am. Math. Soc. 33, 295-323 (1996)
    • (1996) Bull. Am. Math. Soc , vol.33 , pp. 295-323
    • Eisenbud, D.1    Green, M.2    Harris, J.3
  • 13
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    • On Lagrange and Hermite interpolation in R″
    • Gasca, M., Maeztu, J.I.: On Lagrange and Hermite interpolation in R″. Numer. Math. 39, 1-14 (1982)
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  • 14
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    • Lee, S.L., Phillips, G.M.: Construction of lattices for lagrange interpolation in projective space. Constr. Approx. 7, 283-297 (1991)
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  • 15
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    • Nicolaides, R.A.: On a class of finite elements generated by Lagrange interpolation. SIAM J. Numer. Anal. 9, 435-445 (1972)
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    • Nicolaides, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.