Spectral Factorization and Nevanlinna–Pick Interpolation
نویسندگان
چکیده
منابع مشابه
Spectral Factorization and Nevanlinna - Pick Interpolation *
We develop a spectral factorization algorithm based on linear fractional transformations and on the Nevanlinna-Pick interpolation theory. The algorithm is recursive and depends on a choice of points (Zk, k 1, 2, ") inside the unit disk. Under a mild condition on the distribution of the zk's, the convergence of the algorithm is established. The algorithm is flexible and convergence can be influe...
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We analyse the performance of ve numerical methods for factoring a Laurent polynomial, which is positive on the unit circle, as the modulus squared of a real algebraic polynomial. It is found that there is a wide disparity between the methods, and all but one of the methods are signiicantly innuenced by the variation in magnitude of the coeecients of the Laurent polynomial, by the closeness of ...
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In this paper recent new approaches to the representation of a positive polynomials as a sum of squares are used in order to compute spectral factorizations of nonnegative multivariable polynomials. In principle this problem is solved due to the positive solution of Hilberts 17th problem by Artin. Unfortunately Artins result is not constructive and the denominator polynomials arising have no sp...
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ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 1987
ISSN: 0363-0129,1095-7138
DOI: 10.1137/0325043