Abstract
We present a full potential linearized method to solve the one-body problem, for example in the local density approximation. A mixed basis of augmented plane waves and generalized muffin-tin orbitals (MTOs) are used for the eigenfunctions. Since MTOs efficiently describe low-energy and localized states, the mixed basis is dramatically more efficient than the linearized augmented plane wave method for a given tolerance. GaAs, MnAs, ${\text{SrTiO}}_{3}$, Cu, and the ${\text{O}}_{2}$ dimer are used as illustrations.
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