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D. Titley-Peloquin

Publications and source records attributed to D. Titley-Peloquin.

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Minimizing convex quadratic with variable precision conjugate gradients

We investigate the method of conjugate gradients, exploiting inaccurate matrix-vector products, for the solution of convex quadratic optimization problems. Theoretical performance bounds are derived, and the necessary quantities occurring in the theoretical bounds estimated, leading to a practical algorithm. Numerical experiments suggest that this approach has significant potential, including in the steadily more important context of multi-precision computations

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