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The Jacobi-Davidson method (Q3603888)

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Language	Label	Description	Also known as
English	The Jacobi-Davidson method	scientific article

Statements

scholarly article

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The Jacobi-Davidson method (English)

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Michiel E. Hochstenbach

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GAMM-Mitteilungen

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publication date

24 February 2009

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zbMATH Keywords

numerical examples

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eigenvalue

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eigensolver

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eigenpairs

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sparse matrices

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Jacobi--Davidson

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harmonic extraction

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refined extraction

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correction equation

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/gamm.201490038

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A Jacobi--Davidson Method for Solving Complex Symmetric Eigenvalue Problems

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Computational experience with sequential and parallel, preconditioned Jacobi--Davidson for large, sparse symmetric matrices

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The Riccati algorithm for eigenvalues and invariant subspaces of matrices with inexpensive action

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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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An Approximate Factorization Procedure for Solving Self-Adjoint Elliptic Difference Equations

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An integrated Davidson and multigrid solution approach for very large scale symmetric eigenvalue problems

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Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations

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

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A Jacobi--Davidson Type SVD Method

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Harmonic and refined extraction methods for the singular value problem, with applications in least squares problems

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Generalizations of harmonic and refined Rayleigh-Ritz

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A Jacobi--Davidson Type Method for the Two-Parameter Eigenvalue Problem

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A Jacobi--Davidson Type Method for a Right Definite Two-Parameter Eigenvalue Problem

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Two-sided and alternating Jacobi-Davidson

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Harmonic and refined Rayleigh–Ritz for the polynomial eigenvalue problem

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Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods

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Numerical simulation of three dimensional pyramid quantum dot

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Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems

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A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems

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Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method

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Jacobi-Davidson algorithm and its application to modeling RF-microwave detection circuits

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Locking and Restarting Quadratic Eigenvalue Solvers

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Preconditioning eigenvalues and some comparison of solvers

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A Parallel Jacobi--Davidson-type Method for Solving Large Generalized Eigenvalue Problems in Magnetohydrodynamics

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Optimal Order Preconditioning of Finite Difference Matrices

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

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Convergence Analysis of Inexact Rayleigh Quotient Iteration

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Is Jacobi--Davidson Faster than Davidson?

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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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Inexact Rayleigh quotient-type methods for eigenvalue computations

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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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A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems

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Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems

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Exploiting Multilevel Preconditioning Techniques in Eigenvalue Computations

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Numerical methods for large eigenvalue problems

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A Truncated RQ Iteration for Large Scale Eigenvalue Calculations

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A Case for a Biorthogonal Jacobi--Davidson Method: Restarting and Correction Equation

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Restarting techniques for the (Jacobi-)Davidson symmetric eigenvalue method

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Criteria for Combining Inverse and Rayleigh Quotient Iteration

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The Quadratic Eigenvalue Problem

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The convergence of Jacobi–Davidson iterations for Hermitian eigenproblems

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Iterative Krylov Methods for Large Linear Systems

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Modern methods for the iterative computation of eigenpairs of matrices of high dimension

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Computing eigenvalues occurring in continuation methods with the Jacobi-Davidson QZ method

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Computational Science - ICCS 2004

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Numerical methods for semiconductor heterostructures with band nonparabolicity

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Large-Scale Normal Coordinate Analysis for Molecular Structures

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Identifiers

zbMATH Open document ID

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10.1002/gamm.201490038

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3603888

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