Preconditioned iterative methods for eigenvalue counts
E Vecharynski, C Yang - … and Applications in Petascale Computing: EPASA …, 2017 - Springer
We describe preconditioned iterative methods for estimating the number of eigenvalues of a
Hermitian matrix within a given interval. Such estimation is useful in a number of …
Hermitian matrix within a given interval. Such estimation is useful in a number of …
Contour Integral-based Quantum Algorithm for Estimating Matrix Eigenvalue Density
The eigenvalue density of a matrix plays an important role in various types of scientific
computing such as electronic-structure calculations. In this paper, we propose a quantum …
computing such as electronic-structure calculations. In this paper, we propose a quantum …
Projection method for eigenvalue problems of linear nonsquare matrix pencils
K Morikuni - SIAM Journal on Matrix Analysis and Applications, 2021 - SIAM
Eigensolvers involving complex moments can determine all the eigenvalues in a given
region in the complex plane and the corresponding eigenvectors of a regular linear matrix …
region in the complex plane and the corresponding eigenvectors of a regular linear matrix …
[PDF][PDF] Efficient rational filter-based interior eigensolvers
S Huber - scholar.archive.org
This thesis is concerned with improving and expanding projection based methods for
Hermitian interior eigenvalue problems. The focus is on methods of this type utilizing a …
Hermitian interior eigenvalue problems. The focus is on methods of this type utilizing a …
Shifted Lanczos method for quadratic forms with Hermitian matrix resolvents
K Morikuni - arXiv preprint arXiv:2002.06738, 2020 - arxiv.org
Quadratic forms of Hermitian matrix resolvents involve the solutions of shifted linear systems.
Efficient iterative solutions use the shift-invariance property of Krylov subspaces The …
Efficient iterative solutions use the shift-invariance property of Krylov subspaces The …
[PDF][PDF] A Scalable Parallel Eigensolver for Large-scale Simulations on Next-generation Computing Environments
A Scalable Parallel Eigensolver for Large-scale Simulations on Next-generation Computing
Environments Page 1 December 7, 2015 Tetsuya Sakurai @CASTS A Scalable Parallel …
Environments Page 1 December 7, 2015 Tetsuya Sakurai @CASTS A Scalable Parallel …
[PDF][PDF] A Scalable Parallel Eigensolver for Large-scale Simulations on Post-peta Computing Environments
A Scalable Parallel Eigensolver for Large- scale Simulations on Post-peta Computing
Environments Page 1 May 13, 2016 Tetsuya Sakurai @CCS.Tsukuba A Scalable Parallel …
Environments Page 1 May 13, 2016 Tetsuya Sakurai @CCS.Tsukuba A Scalable Parallel …