Prove that if A is diagonally dominant and each diagonal entry is negative, then the zero equilibrium

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Prove that if A is diagonally dominant and each diagonal entry is negative, then the zero equilibrium solution to the linear system of ordinary differential equations u = A u is asymptotically stable.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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