【摘 要】
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This paper describes a new method and algorithm for the numerical solution of eigenvalues with the largest real part of positive matrices. The method is based o
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This paper describes a new method and algorithm for the numerical solution of eigenvalues with the largest real part of positive matrices. The method is based on a numerical implementation of Collatz's eigenvalue inclusion theorem for non-negative irre- ducible matrices. Eigenvalues are analyzed for the studies of the stability of linear systems. Finally, a numerical discussion is given to derive the required number of mathematical op- erations of the new algorithm. Comparisons between the new algorithm and several well known ones, such as Power, and QR methods, are discussed.
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