Stable Perturbations of Nonsymmetric Matrices (Classic Reprint)

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Excerpt from Stable Perturbations of Nonsymmetric MatricesWe note that the puiseux-newton diagram has been used in a related context, namely the stability of methods for solving ordinary differential equations, see However, that work has a very different emphasis, not being concerned with multiple eigenvalues but instead with second-order e¿ects of the perturbation of simple eigen values.All the results have a straightforward extension to the case of reducing the spectral radius of a matrix with multiple eigenvalues. This case is relevant, for example, when the definition of matrix stability requires the magnitude of the eigenvalues to be less than one. This situation typically arises in practice when studying the solution of difference equations rather than differential equations.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.