The Experts below are selected from a list of 2226 Experts worldwide ranked by ideXlab platform
Umberto Viaro - One of the best experts on this subject based on the ideXlab platform.
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a program for solving the l2 reduced order model problem with fixed Denominator Degree
Numerical Algorithms, 1995Co-Authors: Wieslaw Krajewski, A Lepschy, Michela Redivozaglia, Umberto ViaroAbstract:A set of necessary conditions that must be satisfied by the L2 optimal rational transfer matrix approximating a given higher-order transfer matrix, is briefly described. On its basis, an efficient iterative numerical algorithm has been obtained and implemented using standard MATLAB functions. The purpose of this contribution is to make the related computer program available and to illustrate some significant applications.
Ralitza K Kovacheva - One of the best experts on this subject based on the ideXlab platform.
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growth behavior and zero distribution of rational approximants
Constructive Approximation, 2011Co-Authors: Hanspeter Blatt, Ralitza K KovachevaAbstract:We investigate the growth and the distribution of zeros of rational uniform approximations with numerator Degree ≤n and Denominator Degree ≤mn for meromorphic functions f on a compact set E of ℂ where mn=o(n/log n) as n→∞. We obtain a Jentzsch–Szegő type result, i.e., the zero distribution converges weakly to the equilibrium distribution of the maximal Green domain Eρ(f) of meromorphy of f if f has a singularity of multivalued character on the boundary of Eρ(f). The paper extends results for polynomial approximation and rational approximation with fixed Degree of the Denominator. As applications, Pade approximation and real rational best approximants are considered.
Wieslaw Krajewski - One of the best experts on this subject based on the ideXlab platform.
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a program for solving the l2 reduced order model problem with fixed Denominator Degree
Numerical Algorithms, 1995Co-Authors: Wieslaw Krajewski, A Lepschy, Michela Redivozaglia, Umberto ViaroAbstract:A set of necessary conditions that must be satisfied by the L2 optimal rational transfer matrix approximating a given higher-order transfer matrix, is briefly described. On its basis, an efficient iterative numerical algorithm has been obtained and implemented using standard MATLAB functions. The purpose of this contribution is to make the related computer program available and to illustrate some significant applications.
Hanspeter Blatt - One of the best experts on this subject based on the ideXlab platform.
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growth behavior and zero distribution of rational approximants
Constructive Approximation, 2011Co-Authors: Hanspeter Blatt, Ralitza K KovachevaAbstract:We investigate the growth and the distribution of zeros of rational uniform approximations with numerator Degree ≤n and Denominator Degree ≤mn for meromorphic functions f on a compact set E of ℂ where mn=o(n/log n) as n→∞. We obtain a Jentzsch–Szegő type result, i.e., the zero distribution converges weakly to the equilibrium distribution of the maximal Green domain Eρ(f) of meromorphy of f if f has a singularity of multivalued character on the boundary of Eρ(f). The paper extends results for polynomial approximation and rational approximation with fixed Degree of the Denominator. As applications, Pade approximation and real rational best approximants are considered.
A Lepschy - One of the best experts on this subject based on the ideXlab platform.
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a program for solving the l2 reduced order model problem with fixed Denominator Degree
Numerical Algorithms, 1995Co-Authors: Wieslaw Krajewski, A Lepschy, Michela Redivozaglia, Umberto ViaroAbstract:A set of necessary conditions that must be satisfied by the L2 optimal rational transfer matrix approximating a given higher-order transfer matrix, is briefly described. On its basis, an efficient iterative numerical algorithm has been obtained and implemented using standard MATLAB functions. The purpose of this contribution is to make the related computer program available and to illustrate some significant applications.