A program for solving the \(L_ 2\) reduced-order model problem with fixed denominator degree
type: Item
instance of: scholarly article
title: A program for solving the \(L_ 2\) reduced-order model problem with fixed denominator degree
zbMATH Open document ID: 0830.65066
DOI: 10.1007/BF02141596
published in: Numerical Algorithms
publication date: 1996-02-04T00:00:00Z
review text: A set of necessary conditions which must be satisfied by the \(L_2\) optimal rational transfer matrix approximating a given higher order transfer matrix is briefly described. The model reduction problem consists in the approximation of a large-scale linear system by a lower- order model according to a suitable criterion. The paper proposes an efficient algorithm which is based on a re- formulation of the first-order necessary conditions of optimality in terms of interpolation constraints and does not require gradient computations. The main features of this algorithm are illustrated and the corresponding program is implemented using MATLAB functions. The claim of the authors is that the present algorithm is computationally much simpler than most optimal or seven suboptimal reduction techniques presently available, since it requires only the solution of linear equations.
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93A15
zbMATH DE Number: 784462
zbMATH Keywords: transfer matrix
zbMATH Keywords: model reduction
zbMATH Keywords: large-scale linear system
zbMATH Keywords: algorithm
author: W. Krajewski
author: Antonio Lepschy
author: Michela Redivo-Zaglia
author: U. Viaro
reviewed by: Guy Jumarie
describes a project that uses: Matlab
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 784462