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Nevanlinna-Pick插值问题与相关幂矩量问题之间的联系(英文)

Connections Between Nevanlinna-Pick Interpolation Problems and Associated Power Moment Problems
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摘要 建立了在五个函数类中Nevanlinna Pick插值问题的解与相关的幂矩量问题的解之间明确的一一对应关系,所用的方法是Hankel向量方法. An intrinsic one-to-one correspondence between solutions to the multiple Nevanlinna-Pick interpolation problems in five function classes and solutions to their associated standard/nonstandard truncated power moment problems is established.The method is based on the so-called Hankel vector approach.
作者 吴化璋 乔云
机构地区 安徽大学数学系
出处 《中国科学技术大学学报》 CAS CSCD 北大核心 2005年第1期25-31,共7页 JUSTC
基金 Project supported by NNSFC(10271113)
关键词 Nevanlinna—Pick插值 幂矩量问题 Hankel向量 Nevanlinna-Pick interpolation power moment problem Hankel vector
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  • 1Ball J A, Gohberg I, Rodman L. Interpolation of Rational Matrix Functions [ M ]. Basel:Birhauser Verlag. 1990.
  • 2Kailath T. Linear Systems [ M ]. Englewood Clif: Prentice-Hall, 1980.
  • 3Alpay D, Ball J A, Gohberg I, Rodman L.The Two-Sided Residue Interpolation in the Stieltjes Class for Matrix Functions [ J ]. Linear Algebra and its Applications. 1994,208-209:485 -521.
  • 4Antoulas A C, Ball J A, Kang J, Willems J C.On the solution of the minimal rational interpolation problem[J]. Linear Algebra and its Applications. 1990,137-138:511-573.
  • 5Ball J A, Kang J. Matrix polynomial solutions of tangential Larange-Sylvester interpolation conditions of low Mcmillan degree [ J ]. Linear Algebra and its Applications. 1990, 137-138 :699-749.
  • 6Krein M G, Nudelman A A. The Markov Moment Problem and Extremal Problems [ M ].Providence, RI: Transl. Math. Monographs 50, Amer. Math. Soc. ,1977.
  • 7Alpay D, Ball J A, Gohberg I, Rodman L. Junitary prescribing automorphisms of rational matrix functions : State space thoery, interpolation and factorization [ J ]. Linear Algebra and its Applications. 1994,197-198:531-566.

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