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 …
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) …
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 …
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 …
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 …
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 …
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 …
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 …
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 …