The common invariant subspace problem and Tarski’s theorem

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The common invariant subspace problem and Tarski’s theorem

This article presents a computable criterion for the existence of a common invariant subspace of n×n complex matrices A1, . . . , As of a fixed dimension 1 ≤ d ≤ n. The approach taken in the paper is model-theoretic. Namely, the criterion is based on a constructive proof of the renowned Tarski’s theorem on quantifier elimination in the theory ACF of algebraically closed fields. This means that ...

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ژورنال

عنوان ژورنال: The Electronic Journal of Linear Algebra

سال: 2017

ISSN: 1081-3810

DOI: 10.13001/ela.2017.1783