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Showing 1 to 3 of 3 for “"Jacobi operators"”.
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Jost Functions for Jacobi Operators with Super-exponentially Decaying Parameters
The decay of the parameters for a Jacobi operator is related to the analyticity of the Jost function associated with J, which is in turn related to the spectral measure of J. Damanik and Simon demonstrated the equivalence between the exponential decay of these parameters and the analyticity of the …
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Isospectral algorithms, Toeplitz matrices and orthogonal polynomials
… of algorithms compute the spectral measure of a Jacobi operator, which is the weight function for the associated orthogonal polynomials and can include a singular part. The connection coefficients matrix, which converts between different bases of orthogonal polynomials, is shown to be a useful …
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Greed, hedging, and acceleration in convex optimization
… orthogonal polynomials, Gaussian quadrature, Jacobi operators, and their spectral measures. Part III of the thesis extends the algorithmic techniques in Part I to convex optimization. We first show that running the aforementioned random GD algorithm accelerates on separable convex functions. …