On the scalar rational interpolation problem
Web31 de dez. de 1990 · We generalize our earlier results on rational interpolation which were given in Van Barel and Bultheel (this journal, 1990) for the scalar case and in Bultheel … WebLossless scalar functions: boundary interpolation, Schur algorithm and Ober’s canonical form. Martine Olivi, Bernard Hanzon, Ralf L.M. Peeters Abstract—In [1] a balanced canonical form for continuous-time lossless systems was presented. This form has a tridiagonal dynamical matrix A and the useful property that the corre-
On the scalar rational interpolation problem
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WebIn this paper, we address the problem of constructing a reduced order system of minimal McMillan degree that satisfiesa set of tangential interpolation conditions with respect to the original system under some mild conditions. The resulting reduced order transfer function appears to be generically unique and we present a simple and efficient technique to … Web1 de set. de 1986 · The rational interpolation problem in the scalar case, including multiple points, is solved. In particular a parametrization of all minimal-degree rational …
Web1 de set. de 2007 · This paper generalize for matrix valued functions a number of well known interpolation problems for scalar rational functions and obtain explicit formulas for the solutions and gives a more systematic and transparent exposition based exclusively on analysis in finite dimensional spaces. WebOur theory is in the spirit of that given by Saff [6] for the scalar rational interpolation problem and by Graves-Morris and Saff [2–4] for vector-valued rational interpolants, in particular, simultaneous Pade approximants and generalized inverse vector-valued Pad´ e approximants.´ Our proofs are completely different, however.
Web19 de jan. de 2024 · A linear problem of regression analysis is considered under the assumption of the presence of noise in the output and input variables. This approximation problem may be interpreted as an improper interpolation problem, for which it is required to correct optimally the positions of the original points in the data space so that they all lie … Web1 de ago. de 1990 · MINIMAL RATIONAL INTERPOLATION PROBLEM 519 (c) The elements of the first column 611, 021 and the elements of the second column 621, 622 of …
Web1 de set. de 1996 · NORTH- ROIIANI) The General Rational Interpolation Problem in the Scalar Case and Its Hankel Vector* Gong-ning Chen, Bin Zhao, and Hui-pin Zhang Department of Mathematics Beijing Normal University Beijing 10087,5, P.R. of China Submitted by Hans Schneider ABSTRACT This paper deals with the general rational …
WebLet It is easy to calculate with the aid of the familiar scalar theory of the Nehari—Takagi problem (see, for example, [AAK] or [Y, chapter 16]) that the best approximation Superoptimal approximation by meromorphic functions 499 00 to g with respect to the L norm by functions with at most a single pole in the open unit disc is the zero function. raytheon coursWebThe simplest interpolation method is to locate the nearest data value, and assign the same value. In simple problems, this method is unlikely to be used, as linear interpolation … simply heinz ketchupWeb1 de jun. de 1997 · Elsevier Science Inc., 1997 INTRODUCTION The goal of this paper is to study the minimal rational interpolation problem using algebrogeometric methods. Specifically, we will deal in a unified framework with the following problems: scalar and matrix interpola- tion, and left and fight tangential interpolation. The results we will … raytheon coyote pdfWebB. D. O. Anderson and A. C. Antoulas, “Rational interpolation and state variable realization”, Linear Algebra and Its Applications, Special Issue on Matrix Problems, in … raytheon coursesWeb1 de dez. de 1992 · The interpolation problem consists in finding n scalar polynomials such that an equation involving a linear combination of them is satisfied for each one of the N interpolation nodes. raytheon co. v. hernandez 2003WebPositive scalar curvature and exotic aspherical manifolds - Jialong DENG 邓嘉龙, YMSC Scalar curvature is interesting not only in analysis, geometry and topology but also in physics. For example, the positive mass theorem, which was proved by Schoen and Yau in 1979, is equivalent to the result that the three-dimension torus carries no Riemannian … raytheon cr001 formWebAbstract. A new technique is derived for determining a parametrization of all minimal complexity rational functions a (x)/b (x) interpolating an arbitrary sequence of points. Complexity is measured in terms of max {deg ( a ), deg ( b) + r } where r is an arbitrary … simplyhelp foundation