Discuss the stability of each fixed point and the asymptotic behavior(s) of the solutions to the systems

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Discuss the stability of each fixed point and the asymptotic behavior(s) of the solutions to the systems in Exercise 9.2.23. Which fixed point, if any, does the solution with initial condition u(0) = econverge to?



Data From Exercise 9.2.23


Find all fixed points for the iterative systems with the following coefficient matrices:


(a)


image


(b)


image


(c)


image


(d)


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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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