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Domain decomposition approaches for accelerating contour integration eigenvalue solvers for symmetric eigenvalue problems
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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ARMS: an algebraic recursive multilevel solver for general sparse linear systems
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PARSEC – the pseudopotential algorithm for real‐space electronic structure calculations: recent advances and novel applications to nano‐structures
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Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries
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Fast Methods for Computing Selected Elements of the Green’s Function in Massively Parallel Nanoelectronic Device Simulations
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Domain Decomposition Methods — Algorithms and Theory
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Accelerating data uncertainty quantification by solving linear systems with multiple right-hand sides
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Convergence properties of block GMRES and matrix polynomials
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Dissecting the FEAST algorithm for generalized eigenproblems
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Nonlinear eigenvalue problems and contour integrals
inferredcites →https://doi.org/10.1016/j.cma.2006.03.026openalex-snapshot
On correction equations and domain decomposition for computing invariant subspaces
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An integral method for solving nonlinear eigenvalue problems
inferredcites →https://doi.org/10.1016/j.laa.2015.05.029openalex-snapshot
Designing rational filter functions for solving eigenvalue problems by contour integration
inferredcites →https://doi.org/10.1016/j.parco.2014.03.002openalex-snapshot
Parallel eigenvalue calculation based on multiple shift–invert Lanczos and contour integral based spectral projection method
inferredcites →https://doi.org/10.1016/j.parco.2015.06.005openalex-snapshot
On the parallel iterative solution of linear systems arising in the FEAST algorithm for computing inner eigenvalues
inferredcites →https://doi.org/10.1016/s0377-0427(03)00565-xopenalex-snapshot
A projection method for generalized eigenvalue problems using numerical integration
inferredcites →https://doi.org/10.1016/s0377-0427(99)00326-xopenalex-snapshot
Domain decomposition methods for eigenvalue problems
inferredcites →https://doi.org/10.1016/s0898-1221(97)90035-3openalex-snapshot
Domain decomposition: Parallel multilevel methods for elliptic partial differential equations
inferredcites →https://doi.org/10.1103/physrevb.79.115112openalex-snapshot
Density-matrix-based algorithm for solving eigenvalue problems
inferredcites →https://doi.org/10.1109/ipdps.2012.64openalex-snapshot
ShyLU: A Hybrid-Hybrid Solver for Multicore Platforms
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PFEAST: A High Performance Sparse Eigenvalue Solver Using Distributed-Memory Linear Solvers
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Computation of Smallest Eigenvalues using Spectral Schur Complements
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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
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Numerical Methods for Large Eigenvalue Problems
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Applied Numerical Linear Algebra
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An Augmented Incomplete Factorization Approach for Computing the Schur Complement in Stochastic Optimization
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Zolotarev Quadrature Rules and Load Balancing for the FEAST Eigensolver
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Computing Eigenvalues of Real Symmetric Matrices with Rational Filters in Real Arithmetic
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Feast Eigensolver for Non-Hermitian Problems
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A Thick-Restart Lanczos Algorithm with Polynomial Filtering for Hermitian Eigenvalue Problems
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Computing Partial Spectra with Least-Squares Rational Filters
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A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
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An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
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A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
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Distributed Schur Complement Techniques for General Sparse Linear Systems
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Algebraic Two-Level Preconditioners for the Schur Complement Method
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The university of Florida sparse matrix collection
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A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure
inferredcites →https://doi.org/10.14492/hokmj/1272848031openalex-snapshot
CIRR: a Rayleigh-Ritz type method with contour integral for generalized eigenvalue problems
inferredcites →https://doi.org/10.14495/jsiaml.1.52openalex-snapshot
A numerical method for nonlinear eigenvalue problems using contour integrals
inferredcites →https://doi.org/10.2307/2004114openalex-snapshot
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
inferredcites →https://doi.org/10.4208/nmtma.2010.33.2openalex-snapshot
Sparse Approximations of the Schur Complement for Parallel Algebraic Hybrid Solvers in 3D
inferredcites →https://doi.org/10.5555/3014904.3014926openalex-snapshot
PFEAST: a high performance sparse eigenvalue solver using distributed-memory linear solvers
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Applied numerical linear algebra
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/nla.2199openalex-snapshot
Recursive integral method with Cayley transformation
inferred← citeshttps://doi.org/10.1002/nla.2473openalex-snapshot
Enhanced algebraic substructuring for symmetric generalized eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s10915-023-02392-2openalex-snapshot
A Novel Domain Decomposition Method for Eigenvalue Problems
inferred← citeshttps://doi.org/10.1016/j.camwa.2020.06.014openalex-snapshot
A novel domain decomposition framework for the ground state solution of Bose–Einstein condensates
inferred← citeshttps://doi.org/10.1016/j.cma.2020.113072openalex-snapshot
Multiscale modal analysis of fully-loaded spent nuclear fuel canisters
inferred← citeshttps://doi.org/10.1016/j.compstruc.2018.04.007openalex-snapshot
Solving generalized eigenvalue problems for large scale fluid-structure computational models with mid-power computers
inferred← citeshttps://doi.org/10.1103/physrevb.111.045137openalex-snapshot
Nonlinear eigenvalue algorithm for G W quasiparticle equations
inferred← citeshttps://doi.org/10.1137/19m1280004openalex-snapshot
A Domain Decomposition Rayleigh--Ritz Algorithm for Symmetric Generalized Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/20m1349217openalex-snapshot
Fast Randomized Non-Hermitian Eigensolvers Based on Rational Filtering and Matrix Partitioning
inferred← citeshttps://doi.org/10.1137/22m1501155openalex-snapshot
A Parallel Algorithm for Computing Partial Spectral Factorizations of Matrix Pencils via Chebyshev Approximation
inferred← citeshttps://doi.org/10.1137/23m161848xopenalex-snapshot
A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains
inferred← citeshttps://doi.org/10.1553/etna_vol52s132openalex-snapshot
A spectral Newton-Schur algorithm for the solution of symmetric generalized eigenvalue problems
inferred← citeshttps://doi.org/10.3389/fams.2019.00005openalex-snapshot
Non-linear Least-Squares Optimization of Rational Filters for the Solution of Interior Hermitian Eigenvalue Problems
inferred← citeshttps://doi.org/10.48550/arxiv.1706.00692openalex-snapshot
An improved Krylov eigenvalue strategy using the FEAST algorithm with inexact system solves
inferred← citeshttps://doi.org/10.48550/arxiv.1711.09487openalex-snapshot
Beyond AMLS: Domain decomposition with rational filtering
inferred← citeshttps://doi.org/10.48550/arxiv.2103.05128openalex-snapshot
Fast randomized non-Hermitian eigensolver based on rational filtering and matrix partitioning
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