Title: An algebraic method to solve the minimal partial realization problem for matrix sequences
Authors: Van Barel, Marc ×
Bultheel, Adhemar
Issue Date: Aug-1987
Publisher: Department of Computer Science, K.U.Leuven
Series Title: TW Reports vol:TW92
Abstract: We give a new algebraic method to construct all minimal partial
realizations of a finite sequence of constant matrices.
We use the minimal number of parameters to characterize all these minimal
partial realizations.
The solution is obtained in the input-output canonical form of Beghelli
and Guidorzi.
A new interpretation of this form is given,
relating it with linear dependencies of rows of the block Hankel matrix.

Three examples are worked out to illustrate the method.
Publication status: published
KU Leuven publication type: IR
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author

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