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Doubling algorithm not working for solving discrete Lyapunov equation #568

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@shizejin

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@shizejin

For a specific example borrowed from RMT5 (example 3 in section 2.4), the doubling algorithm is unable to find the correct solution to the discrete Lyapunov equation while Bartels-Stewart algorithm (the scipy routine) is able to find one.

The demonstration of the failure is here.

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