A Block Preconditioned Harmonic Projection Method for Large-Scale Nonlinear Eigenvalue Problems (Q4569317)

scientific article; zbMATH DE number 6897160

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English	A Block Preconditioned Harmonic Projection Method for Large-Scale Nonlinear Eigenvalue Problems	scientific article; zbMATH DE number 6897160

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instance of

scholarly article

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title

A Block Preconditioned Harmonic Projection Method for Large-Scale Nonlinear Eigenvalue Problems (English)

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published in

SIAM Journal on Scientific Computing

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publication date

28 June 2018

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zbMATH Keywords

nonlinear eigenproblem

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preconditioning

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harmonic projection

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local convergence

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soft deflation

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thick restart

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describes a project that uses

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MaRDI publication profile

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cites work

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Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems

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Perturbation, extraction and refinement of invariant pairs for matrix polynomials

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An integral method for solving nonlinear eigenvalue problems

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Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems

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The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices

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Robust Successive Computation of Eigenpairs for Nonlinear Eigenvalue Problems

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Chebyshev interpolation for nonlinear eigenvalue problems

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Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils

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The nonlinear eigenvalue problem

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A Krylov Method for the Delay Eigenvalue Problem

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Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method

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Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method

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A block Newton method for nonlinear eigenvalue problems

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Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems

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Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations

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Vector Spaces of Linearizations for Matrix Polynomials

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Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods

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Computing interior eigenvalues of large matrices

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Generalizations of Davidson’s Method for Computing Eigenvalues of Sparse Symmetric Matrices

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Preconditioning the Lanczos Algorithm for Sparse Symmetric Eigenvalue Problems

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Residual Inverse Iteration for the Nonlinear Eigenvalue Problem

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Combination of Jacobi–Davidson and conjugate gradients for the partial symmetric eigenproblem

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Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems I: The Preconditioning Aspect

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Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems II: The Subspace Acceleration

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Approximate solutions and eigenvalue bounds from Krylov subspaces

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Q5390350

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Nonlinear Rayleigh functionals

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Solving Sparse Symmetric Generalized Eigenvalue Problems without Factorization

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Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems

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A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems

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IDR(<i>s</i>): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations

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Nearly Optimal Preconditioned Methods for Hermitian Eigenproblems under Limited Memory. Part I: Seeking One Eigenvalue

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A Davidson program for finding a few selected extreme eigenpairs of a large, sparse, real, symmetric matrix

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Nearly Optimal Preconditioned Methods for Hermitian Eigenproblems Under Limited Memory. Part II: Seeking Many Eigenvalues

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PRIMME

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Matrix Algorithms

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Solving Rational Eigenvalue Problems via Linearization

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Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues

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Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems

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Several properties of invariant pairs of nonlinear algebraic eigenvalue problems

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Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms

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Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues

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The Quadratic Eigenvalue Problem

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Generalized Preconditioned Locally Harmonic Residual Method for Non-Hermitian Eigenproblems

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full work available at URL

https://doi.org/10.1137/17m112141x

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Identifiers

zbMATH Open document ID

1391.65092

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DOI

10.1137/17M112141X

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4569317