4 problems
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Stable equilibrium conjecture for the quasi-projected gradient flow
Let be a diagonal matrix with distinct diagonal entries, and consider the quasi-projected gradient flow determined by . An equilibrium point is called stable when it is stab…
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Generic convergence conjecture for the quasi-projected gradient flow
Let be the diagonal matrix defining the quasi-projected gradient flow on the relevant iso-spectral surface. Generic convergence conjecture. The flow generically converges to a…
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Common local expansion conjecture for isospectral flows of the generalized Jacobi spectral problem
Consider the generalized Jacobi spectral problem … Let and have the power-series expansion in … … where is an arbitrary nonzero constant and is…
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Asymptotic block-diagonalization conjecture for symmetric-matrix flows
Consider the isospectral ordinary differential equation discussed in the paper, with solutions initialized at real symmetric matrices, and let a block diagonal matrix mean one whos…