03982389

a

03982389 Gutknecht, Martin H. Hankel norm approximation of power spectra. Computational and combinatorial methods in systems theory, Sel. Pap. 7th Int. Symp. Math. Theory Networks Syst., Stockholm 1985, 315-326 (1986). 1986 EN interpolation by meromorphic functions prescribed maximum number of poles Hankel norm Carath\'eodory-Fej\'er method Fourier-CF method power spectra Zbl 0592.00035 [For the entire collection see Zbl 0592.00035.] Approximation in the Hankel norm is known as Carath\'eodory-Fej\'er method (CF method) in numerical analysis. We survey some ideas which have come up in the literature on the CF method, but have not yet been applied to system theory. In particular, we present a version of the Fourier-CF method which is tailored for the problem of approximating power spectra.