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Existence Conditions and Related Algorithm for Multivariate Nonlacunary Interpolation Basis

LI Peng, DONG Tian   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2006-09-01 Revised:1900-01-01 Online:2006-09-26 Published:2006-09-26
  • Contact: DONG Tian

Abstract: Constructive algebraic geometry methods were used to discuss the construction of nonlacunary interpolation basis on a subset of a given set of nodes in Rn. We presented the existence conditions theoretically and related algorithm.

Key words: multivariate Lagrange i nterpolation, nonlacunary interpolation basis, complete interpolation basis

CLC Number: 

  • O241.3