The paper analyzes a preconditioned inverse iteration solver with rank truncation for low-rank MPS approximations to eigenfunctions and generalizes it to subspace iteration, with numerical tests on model problems.
Hackbusch,On the representation of symmetric and antisymmetric tensors, Contemporary Compu- tational Mathematics-A Celebration of the 80th Birthday of Ian Sloan, Springer, 2018, pp
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Low-rank eigenvalue solvers for block-sparse matrix product states
The paper analyzes a preconditioned inverse iteration solver with rank truncation for low-rank MPS approximations to eigenfunctions and generalizes it to subspace iteration, with numerical tests on model problems.