Abstract
Matrices consisting of polynomials or rational functions play fundamental roles in various branches in engineering. Combinatorial properties of polynomial matrices are abstracted in the language of valuated matroids. This chapter is mostly devoted to an exposition of the theory of valuated matroids, whereas the first section describes a number of canonical forms of polynomial/rational matrices that are amenable to combinatorial methods of analysis to be explained in Chap. 6.
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© 2010 Springer-Verlag Berlin Heidelberg
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Murota, K. (2010). Polynomial Matrix and Valuated Matroid. In: Matrices and Matroids for Systems Analysis. Algorithms and Combinatorics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03994-2_5
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DOI: https://doi.org/10.1007/978-3-642-03994-2_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03993-5
Online ISBN: 978-3-642-03994-2
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