Rational approximation of a class of infinite-dimensional systems I: Singular values of hankel operators
Rational approximation of a class of infinite-dimensional systems I: Singular values of hankel operators
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一类无限维系统的有理逼近Ⅰ：hankel算子的奇异值
DOI：
10.1007/bf02551374
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发表时间：
1988
期刊：
影响因子：
--
通讯作者：
J. Partington
中科院分区：
文献类型：
--
作者：
K. Glover;J. Lam;J. Partington
为了建立无穷范数有理逼近问题的最优收敛速度，建立了一类Hankel算子奇异值的上下界.这些渐近准确的估计来自奇异值的Hankel算子的符号等于产品的有理函数和指数函数，结合Hankel积分算子（在连续时间）的结果，其内核具有一定的光滑性的结果。
In order to establish the optimal rates of convergence for the infinity-norm rational approximation problem, upper and lower bounds on the singular values of a class of Hankel operators are established. These asymptotically accurate estimates are derived from results on the singular values of Hankel operators with symbol equal to the product of a rational function and an exponential function, combined with results on Hankel integral operators (in continuous time) whose kernels have certain smoothness properties.