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Optimal L//2-approximation with fixed poles

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Publication:1839069
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DOI10.1016/S0167-6911(83)80001-2zbMath0511.30028MaRDI QIDQ1839069

Hidenori Kimura

Publication date: 1983

Published in: Systems \& Control Letters (Search for Journal in Brave)


zbMATH Keywords

rational approximationtransfer function matrixPick matrix interpolation


Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Numerical interpolation (65D05) Multidimensional problems (41A63)


Related Items (3)

Optimality conditions in multivariable \(L_ 2\) model reduction ⋮ On approximate recursive prediction of stationary stochastic processes ⋮ Sub-optimal discrete model reduction by multipoint Padé approximation




Cites Work

  • Unnamed Item
  • Bauer-type factorization of positive matrices and the theory of matrix polynomials orthogonal on the unit circle
  • Optimal Hankel-norm model reductions: Multivariable systems
  • The Nevanlinna–Pick Problem for Matrix-Valued Functions
  • Equivalent Realizations of Linear Systems




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