A parallel algorithm for computing partial spectral factorizations of matrix pencils via Chebyshev approximation
From MaRDI portal
Publication:6491444
DOI10.1137/22M1501155MaRDI QIDQ6491444
Tianshi Xu, Yousef Saad, Vasileios Kalantzis, Anthony P. Austin
Publication date: 24 April 2024
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
parallel computingspectral Schur complementsChebyshev approximationsymmetric generalized eigenvalue problem
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Modes of computation (nondeterministic, parallel, interactive, probabilistic, etc.) (68Q10) Parallel algorithms in computer science (68W10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- PRIMME
- Spectral Schur complement techniques for symmetric eigenvalue problems
- Very large scale wavefunction orthogonalization in density functional theory electronic structure calculations
- Kron's method for symmetric eigenvalue problems
- An implicit restarted Lanczos method for large symmetric eigenvalue problems
- A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems
- Block Gram-Schmidt algorithms and their stability properties
- Numerical aspect of large-scale electronic state calculation for flexible device material
- Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
- The university of Florida sparse matrix collection
- Beyond Automated Multilevel Substructuring: Domain Decomposition with Rational Filtering
- SLEPc
- Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in Hypre and PETSc
- SIPs
- An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems
- High-frequency response analysis via algebraic substructuring
- LAPACK Users' Guide
- Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- ARPACK Users' Guide
- Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems
- Fast Computation of Spectral Densities for Generalized Eigenvalue Problems
- An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
- A Shift Selection Strategy for Parallel Shift-invert Spectrum Slicing in Symmetric Self-consistent Eigenvalue Computation
- Fast Randomized Non-Hermitian Eigensolvers Based on Rational Filtering and Matrix Partitioning
- The Eigenvalues Slicing Library (EVSL): Algorithms, Implementation, and Software
- Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations
- SuperLU_DIST
- Computation of Smallest Eigenvalues using Spectral Schur Complements
- An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation
- A Domain Decomposition Rayleigh--Ritz Algorithm for Symmetric Generalized Eigenvalue Problems
This page was built for publication: A parallel algorithm for computing partial spectral factorizations of matrix pencils via Chebyshev approximation