文章基本信息

标题：Multiparameter Eigenvalue Problems and Shift-invariance ⁎ ⁎
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作者：Katrien De Cock ; Bart De Moor
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：159-165
DOI：10.1016/j.ifacol.2021.06.071
语种：English
出版社：Elsevier
摘要：AbstractWe discuss four eigenvalue problems of increasing generality and complexity: rooting a univariate polynomial, solving the polynomial eigenvalue problem, rooting a set of multivariate polynomials and solving multi-parameter eigenvalue problems. In doing so, we provide a unifying framework for solving these eigenvalue problems, where we exploit properties of (block-) (multi-) shift-invariant subspaces and use multi-dimensional realization algorithms.
关键词：Keywordsmultiparameter eigenvalue problemsshift-invariancerealization theory