A tabular methodology to identify minimal row degrees for matrix Padé approximants (Q390437)
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scientific article; zbMATH DE number 6243396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A tabular methodology to identify minimal row degrees for matrix Padé approximants |
scientific article; zbMATH DE number 6243396 |
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A tabular methodology to identify minimal row degrees for matrix Padé approximants (English)
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8 January 2014
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matrix Padé approximation
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minimal row degree
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canonical representation
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The authors describe a method to find the special types of matrix Padé approximants (MPA) they introduced in a previous paper [J. Comput. Appl. Math. 236, No. 13, 3360--3372 (2012; Zbl 1241.41008)]. Thereby, they address the open question in their 2012 paper of automatically finding all possible sets of so-called minimal row degree MPA's; as stated in the paper, a preliminary version of the Mathematica program can be found at [\url{http://cogonzal.webs.ull.es/Examples.rar}].NEWLINENEWLINEIt is outside the scope of a review to give the definitions needed to formulate the results in the paper.NEWLINENEWLINEAfter a short introduction, Section 2 (2 pages) consists of 8 definitions, followed in Section 3 (nearly 4 pages) by 6 properties of the method and 7 examples.NEWLINENEWLINEFinally, some remarks are made with respect to the computational aspects, and a possible application in multivariate time series models is discussed.
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