Algorithms for orbit closure separation for invariants and semi-invariants of matrices
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We consider two group actions on m-tuples of n × n matrices. The first is simultaneous conjugation by GL_n and the second is the left-right action of SL_n ×SL_n. We give efficient algorithms to decide if the orbit closures of two points intersect. We also improve the known bounds for the degree of separating invariants in these cases.
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