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Three-Dimensional Generalized Inverse Matrix Rational Interpolation

Three-Dimensional Generalized Inverse Matrix Rational Interpolation
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摘要 In this paper, a three dimensional matrix valued rational interpolant (TGMRI) is first constructed by making use of the generalized inverse of matrices. The interpolants are of the Thiele type branched continued fraction form, with matrix numerator and scalar denominator. Some properties of TGMRI are given. An efficient recursive algorithm is proposed. The results in the paper can be extend to n variable. In this paper, a three dimensional matrix valued rational interpolant (TGMRI) is first constructed by making use of the generalized inverse of matrices. The interpolants are of the Thiele type branched continued fraction form, with matrix numerator and scalar denominator. Some properties of TGMRI are given. An efficient recursive algorithm is proposed. The results in the paper can be extend to n variable.
出处 《Journal of Shanghai University(English Edition)》 CAS 2001年第4期276-281,共6页 上海大学学报(英文版)
基金 SupportedbytheNationalNaturalScienceFoundationofChina( 198710 5 4)
关键词 Tri variable matrix values rational interpolation generalized inverse Thiele type branched continued fractions matrix recursive algorithm Tri variable matrix values, rational interpolation, generalized inverse, Thiele type branched continued fractions, matrix recursive algorithm
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