Codes and Automata Corrections and Complements
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1 Preliminaries • p. 28 l. -2 : Insert ‘provided the automaton is complete’ after ‘The matrix M/k is stochastic’. • p. 30 l. Replace lines 3–17 by : Applying by induction the theorem to U and W , we obtain nonnegative eigenvectors u and w for the eigenvalues ρU and ρW of U and W . We prove that max(ρU , ρW ) is an eigenvalue of M with some nonnegative eigenvector. If ρU ≥ ρW , then ρU is an eigenvalue of M with the corresponding eigenvector [ u 0 ] . If ρU < ρW , then we show that ρW is an eigenvalue of M for the eigenvector [ u′ w ] , where
منابع مشابه
Codes and Automata Corrections and Complements
1 Preliminaries • p. 28 l. -2 : Insert ‘provided the automaton is complete’ after ‘The matrix M/k is stochastic’. • p. 30 l. Replace lines 3–17 by : Applying by induction the theorem to U and W , we obtain nonnegative eigenvectors u and w for the eigenvalues ρU and ρW of U and W . We prove that max(ρU , ρW ) is an eigenvalue of M with some nonnegative eigenvector. If ρU ≥ ρW , then ρU is an eig...
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1 Preliminaries • p. 28 l. -2 : Insert ‘provided the automaton is complete’ after ‘The matrix M/k is stochastic’. • p. 30 l. Replace lines 3–17 by : Applying by induction the theorem to U and W , we obtain nonnegative eigenvectors u and w for the eigenvalues ρU and ρW of U and W . We prove that max(ρU , ρW ) is an eigenvalue of M with some nonnegative eigenvector. If ρU ≥ ρW , then ρU is an eig...
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