ComputingComputational EngineeringComputational GeometryComputational PhysicsGeometric ModelingApproximation AlgorithmsApproximation MethodsNumerical AlgorithmsNumerical AnalysisNumerical IntegrationReduced-order ModelingInterval AnalysisInterval ArithmeticNumerical DiscretizationPadé Approximation
This paper presents multipoint Pade approximation for discrete interval systems. The numerator and denominator of the reduced model are obtained such that G/sub m/(z) to be a Pade approximant of G/sub s/(z), about 2r points. The expansion points used in the approximation could be a mixture of real, imaginary, complex and multiple points, many of the computational difficulties for such a combination of points are eliminated by this method. Numerical examples illustrate the procedure.
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James S. Vandergraft, Ernst Albin Hansen · Mathematics of Computation · 1970 · 186 citations · Full text