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.
Grasedyck,Hierarchical singular value decomposition of tensors, SIAM Journal on Matrix Analysis and Applications31(2010), no
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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.