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math.NA2026
Estimating the condition number of Chebyshev filtered vectors with application to the ChASE library
Edoardo Di Napoli, Xinzhe Wu
Chebyshev filtered subspace iteration is a well-known algorithm for the solution of (symmetric/Hermitian) algebraic eigenproblems which has been implemented in several application…
math.NA2026
Chebyshev Accelerated Subspace Eigensolver for Pseudo-hermitian Hamiltonians
Edoardo Di Napoli, Clément Richefort, Xinzhe Wu
Studying the optoelectronic structure of materials can require the computation of several thousands of the smallest positive eigenpairs of a pseudo-hermitian Hamiltonian. Iterative…
math.NA2019★ 6 cited
The LAPW method with eigendecomposition based on the Hari--Zimmermann generalized hyperbolic SVD
Sanja Singer, Edoardo Di Napoli, Vedran Novaković +1
In this paper we propose an accurate, highly parallel algorithm for the generalized eigendecomposition of a matrix pair , given in a factored form $(F^{\ast} J F, G^{\ast}…