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Computation of system zeros with balancing (Q1260794)

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scientific article; zbMATH DE number 398927
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English
Computation of system zeros with balancing
scientific article; zbMATH DE number 398927

    Statements

    Computation of system zeros with balancing (English)
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    25 August 1993
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    The numerical preconditioning of the zero-computation generalized eigenvalue problem (ZGEP) \(Ax = \lambda Ex\) is discussed. \textit{A. Emami- Naeini} and \textit{P. van Dooren} [(ENVD). Automatica 18, 415-430 (1982; Zbl 0484.93029)] presented an algorithm for the solution of the ZGED. But this ENVD algorithm can be sensitive to the dynamic range of system coefficients. In view of this, a preconditioning algorithm that respects the structure of the ZGEP is presented. A numerical example is given.
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    zero-computation generalized eigenvalue problem
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    preconditioning algorithm
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    numerical example
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    Identifiers