4 papers
A structure-preserving Chebyshev-filtered subspace iteration for the Bethe-Salpeter eigenvalue problem
Blanca Mellado-Pinto, Fernando Alvarruiz, Jose E. Roman
The Bethe-Salpeter equation, which has many applications in both theoretical and applied physics, is generally solved via a matrix eigenvalue problem with a rich algebraic structur…
Solvers for the Hermitian and the pseudo-Hermitian Bethe-Salpeter equation in the Yambo code: Implementation and Performance
Petru Milev, Blanca Mellado-Pinto, Muralidhar Nalabothula +8
We analyze the performance of two strategies in solving the structured eigenvalue problem deriving from the Bethe-Salpeter equation (BSE) in condensed matter physics. The BSE matri…
Variants of thick-restart Lanczos for the Bethe-Salpeter eigenvalue problem
Fernando Alvarruiz, Blanca Mellado-Pinto, Jose E. Roman
The non-Hermitian Bethe-Salpeter eigenvalue problem, in the definite case, is a structured eigenproblem, with real eigenvalues coming in pairs where the corresponding pa…
Correlated volumes for extended wavefunctions on a random-regular graph
Manuel Pino, Jose E. Roman
We analyze the ergodic properties of a metallic wavefunction for the Anderson model in a disordered random-regular graph with branching number A few q-moments associat…