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math.NA2026
Dominant H-Eigenvectors of Tensor Kronecker Products Do Not Decouple
Ayush Kulkarni, Charles Colley, David F. Gleich
We illustrate a counterexample to an open question related to the dominant H-eigenvector of a Kronecker product of tensors. For matrices and Z-eigenvectors of tensors, the dominant…
math.NA2025
Fault Oblivious Eigenvalue Solver
Jayanta Mukherjee, Xuejiao Kang, David F. Gleich +2
Eigenvalue problems serve as fundamental substrates for applications in large-scale scientific simulations and machine learning, often requiring computation on massively parallel p…
math.NA2025
An Empirical Study of Conjugate Gradient Preconditioners for Solving Symmetric Positive Definite Systems of Linear Equations
Marc A. Tunnell, David F. Gleich
Despite hundreds of papers on preconditioned linear systems of equations, there remains a significant lack of comprehensive performance benchmarks comparing various preconditioners…