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- W2103733804 abstract "This paper deals with the so-called tangential Nevanlinna—Pick interpolation problem for bounded real matrices. This problem can be formulated as follows: given a set of n pairs {(pi,Ki)}, where pi are distinct complex numbers with Re pi > 0 and Ki stands for 2m × li constant matrices, assuming that for every pair (pi, Ki) with pi complex there exists a complex conjugate pair (pi, Ki) and that for every pair (pi, Ki) in which pi is real Ki is also real, find an m × m bounded real matrix S(p) such that [S(pi) 1m]Ki = 0 for i= 1,…,n. The solution of this problem is obtained in an inductive way through the construction at each step of a real lossless multiport section that realizes two complex conjugate pairs or one real pair. After each step the number of pairs (pi, Ki) is reduced by two (if pi is complex) or by one (if pi is real). the procedure is continued until all pairs have been considered. After the last step the final section may be terminated with any bounded real load. the scattering matrix S(p) of the resulting cascade multiport network is bounded real and satisfies the desired interpolation conditions. In this way the tangential interpolation problem is reduced to classical network cascade synthesis by the use of real lossless multiport sections." @default.
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- W2103733804 date "1993-11-01" @default.
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- W2103733804 title "Tangential nevanlinna-pick interpolation problem for bounded real matrices—A network approach" @default.
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- W2103733804 doi "https://doi.org/10.1002/cta.4490210603" @default.
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