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- Title
On the recursive equivalence to Smith form of multivariate polynomial matrices.
- Authors
Liu, Jinwang; Li, Dongmei
- Abstract
The Smith form of an |$n$| - |$D$| polynomial matrix plays an important role in many areas of mathematics and engineering. In this paper, we investigate the recursive equivalence problem of |$n$| -dimensional polynomial matrices, i.e. if diag |$(1,B)$| is equivalent to diag |$(1,1,C)$| , is B equivalent to diag |$(1,C)$| ? We give a negative answer to this question by explicitly constructing a four-dimensional polynomial matrix which is not equivalent to its Smith form.
- Subjects
POLYNOMIALS; ENGINEERING mathematics
- Publication
IMA Journal of Mathematical Control & Information, 2022, Vol 39, Issue 4, p1066
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnac023