On some structural properties of generalized Lyapunov eigenproblems and application to operator preconditioning
DOI10.1007/S40574-023-00400-9zbMATH Open1548.15009MaRDI QIDQ6612015
Daniele Toni, Valeria Simoncini
Publication date: 27 September 2024
Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69) Linear equations (linear algebraic aspects) (15A06) Matrix pencils (15A22) Numerical methods for matrix equations (65F45)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Tensor numerical methods in scientific computing
- Matrix-equation-based strategies for convection-diffusion equations
- A reflection on the implicitly restarted Arnoldi method for computing eigenvalues near a vertical line
- A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients
- Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
- On the rate of convergence of the preconditioned conjugate gradient method
- The rate of convergence of conjugate gradients
- Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions
- Operator preconditioning
- On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations
- Parallel iterative methods for sparse linear systems
- Finite elements and fast iterative solvers. With applications in incompressible fluid dynamics
- Preconditioning discretizations of systems of partial differential equations.
- Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems
- Computing Hopf Bifurcations I
- Computational Methods for Linear Matrix Equations
- Preconditioning and Boundary Conditions
- Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators
- Domain decomposition preconditioners for elliptic equations with jump coefficients
- Preconditioning by inverting the Laplacian: an analysis of the eigenvalues
- Preconditioning Second-Order Elliptic Operators: Experiment and Theory
- Optimal Equivalent Preconditioners
- Asymptotic Results on the Spectra of Block Toeplitz Preconditioned Matrices
- Unstructured Additive Schwarz--Conjugate Gradient Method for Elliptic Problems with Highly Discontinuous Coefficients
- An analysis of a preconditioner for the discretized pressure equation arising in reservoir simulation
- A Jacobi--Davidson Type Method for a Right Definite Two-Parameter Eigenvalue Problem
- Laplacian Preconditioning of Elliptic PDEs: Localization of the Eigenvalues of the Discretized Operator
- Finite Difference Preconditioning for Solving Orthogonal Collocation Equations for Boundary Value Problems
- Lyapunov Inverse Iteration for Computing a Few Rightmost Eigenvalues of Large Generalized Eigenvalue Problems
- Tensors in computations
This page was built for publication: On some structural properties of generalized Lyapunov eigenproblems and application to operator preconditioning
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6612015)