Shell-model-based investigation on level density of Xe and Ba isotopes

J Chen, M Liu, C Yuan, S Chen, N Shimizu, X Sun… - Physical Review C, 2023 - APS
Nuclear level density is important for evaluating nuclear reaction processes, but its
microscopic investigation is not frequently performed. The present work applies a recently …

A Parallel Algorithm for Computing Partial Spectral Factorizations of Matrix Pencils via Chebyshev Approximation

T Xu, A Austin, V Kalantzis, Y Saad - SIAM Journal on Scientific Computing, 2024 - SIAM
We propose a distributed-memory parallel algorithm for computing some of the algebraically
smallest eigenvalues (and corresponding eigenvectors) of a large, sparse, real symmetric …

Corner transfer matrix renormalization group analysis of the two-dimensional dodecahedron model

H Ueda, K Okunishi, S Yunoki, T Nishino - Physical Review E, 2020 - APS
We investigate the phase transition of the dodecahedron model on the square lattice. The
model is a discrete analog of the classical Heisenberg model, which has continuous O (3) …

Decentralized Neural Networks for Robust and Scalable Eigenvalue Computation

R Katende - arXiv preprint arXiv:2409.06746, 2024 - arxiv.org
This paper introduces a novel method for eigenvalue computation using a distributed
cooperative neural network framework. Unlike traditional techniques that face scalability …

Direct Solver Aiming at Elimination of Systematic Errors in 3D Stellar Positions

K Ryabinin, G Sarras, W Löffler, M Biermann - International Conference on …, 2024 - Springer
The determination of three-dimensional positions and velocities of stars based on the
observations collected by a space telescope suffers from the uncertainty of random as well …

[PDF][PDF] ESSEX: equipping sparse solvers for exascale

CL Alappat, A Alvermann, A Basermann… - Software for Exascale …, 2020 - library.oapen.org
The ESSEX project has investigated programming concepts, data structures, and numerical
algorithms for scalable, efficient, and robust sparse eigenvalue solvers on future …

[PDF][PDF] Numerical Analysis for Data Relationship

T Sakurai, Y Futamura, A Imakura… - … Mathematical Science for …, 2024 - library.oapen.org
In recent years, a vast amount of data has been accumulated across various fields in
industry and academia, and with the rise of artificial intelligence and machine learning …

Flexible subspace iteration with moments for an effective contour integration‐based eigensolver

S Huber, Y Futamura, M Galgon… - … Linear Algebra with …, 2022 - Wiley Online Library
Contour integration schemes are a valuable tool for the solution of difficult interior
eigenvalue problems. However, the solution of many large linear systems with multiple right …

Rational spectral filters with optimal convergence rate

K Kollnig, P Bientinesi, EA Di Napoli - SIAM Journal on Scientific Computing, 2021 - SIAM
In recent years, contour-based eigensolvers have emerged as a standard approach for the
solution of large and sparse eigenvalue problems. Building upon recent performance …

Complex moment-based method with nonlinear transformation for computing large and sparse interior singular triplets

A Imakura, T Sakurai - arXiv preprint arXiv:2109.13655, 2021 - arxiv.org
This paper considers computing interior singular triplets corresponding to the singular
values in some interval. Based on the concept of the complex moment-based parallel …