An m-moment minimum error method is constructed for quadratic optimization in Hilbert space, with proved convergence, optimality among Krylov methods, and numerical tests on Helmholtz, heat, and thermoacoustics inverse problems.
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On the construction of a gradient method of quadratic optimization, optimal from the point of view of minimizing the distance to the exact solution
An m-moment minimum error method is constructed for quadratic optimization in Hilbert space, with proved convergence, optimality among Krylov methods, and numerical tests on Helmholtz, heat, and thermoacoustics inverse problems.