Convergence of the Iterative Rational Krylov Algorithm
نویسندگان
چکیده
منابع مشابه
Convergence of the Iterative Rational Krylov Algorithm
The iterative rational Krylov algorithm (IRKA) of Gugercin et al. (2008) [8] is an interpolatory model reduction approach to the optimal H2 approximation problem. Even though the method has been illustrated to show rapid convergence in various examples, a proof of convergence has not been provided yet. In this note, we show that in the case of state-space-symmetric systems, IRKA is a locally co...
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where E(p),A(p) ∈ Rn×n, B(p) ∈ Rn×m, C(p) ∈ Rl×n and D(p) ∈ Rl×m are matrices dependent on a set of parameters given as p. The variables: x(t) ∈ R, u(t) ∈ R, and y(t) ∈ R are called the state variable, input and output of the system. The length of the state variable is denoted n and is referred to as the dimension or order of the system. In cases where n is very large, it may be computational e...
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ژورنال
عنوان ژورنال: Systems & Control Letters
سال: 2012
ISSN: 0167-6911
DOI: 10.1016/j.sysconle.2012.03.005