3 papers
math.NA2025
Computing excited states with isometric tensor networks in two-dimensions
Alec Dektor, Runze Chi, Roel Van Beeumen +1
We present a new subspace iteration method for computing low-lying eigenpairs (excited states) of high-dimensional quantum many-body Hamiltonians with nearest neighbor interactions…
math.NA2025
Numerical Optimization for Tensor Disentanglement
Julia Wei, Alec Dektor, Chungen Shen +2
Tensor networks provide compact and scalable representations of high-dimensional data, enabling efficient computation in fields such as quantum physics, numerical partial different…
math.NA2025
Inexact subspace projection methods for low-rank tensor eigenvalue problems
Alec Dektor, Peter DelMastro, Erika Ye +2
We propose inexact subspace iteration for solving high-dimensional eigenvalue problems with low-rank structure. Inexactness stems from low-rank compression, enabling efficient repr…