A Perron–Frobenius theorem for deciding matrix growth
Journal of Logical and Algebraic Methods in Programming(2021)
Abstract
Matrix interpretations are widely used in automated complexity analysis. Certifying such analyses boils down to determining the growth rate of An for a fixed non-negative rational matrix A. There exists a conceptually simple algorithm to determine the growth rate, but this algorithm has the disadvantage that it is based on algebraic number computations.
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Key words
Complexity,Isabelle/HOL,Spectral radius
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