DOI10.1137/060651653zbMath1185.82004OpenAlexW2091127828MaRDI QIDQ5189655
James R. Chelikowsky, Yousef Saad, Suzanne M. Shontz
Publication date: 10 March 2010
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/060651653
A lowest-order free-stabilization virtual element method for the Laplacian eigenvalue problem,
A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction,
Treecode-accelerated Green iteration for Kohn-Sham density functional theory,
Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals,
Implicit algorithms for eigenvector nonlinearities,
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media,
A parallel orbital-updating based optimization method for electronic structure calculations,
Density functional theory method for twisted geometries with application to torsional deformations in group-IV nanotubes,
Complexities in modeling of heterogeneous catalytic reactions,
A singularity-based eigenfunction decomposition for Kohn-Sham equations,
Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations,
Trace-penalty minimization for large-scale eigenspace computation,
Direct minimization for ensemble electronic structure calculations,
Fast solution of Schrödinger's equation using linear combinations of plane waves,
A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching,
The use of bulk states to accelerate the band edge state calculation of a semiconductor quantum dot,
Maximization of the sum of the trace ratio on the Stiefel manifold. II: computation,
Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation,
Discontinuous Galerkin methods of the non-selfadjoint Steklov eigenvalue problem in inverse scattering,
The Short-Term Rational Lanczos Method and Applications,
A Framework for a Generalization Analysis of Machine-Learned Interatomic Potentials,
\( \boldsymbol{H}^1\)-conforming virtual element method for the Laplacian eigenvalue problem in mixed form,
A multi-center quadrature scheme for the molecular continuum,
A Conjugate Gradient Method for Electronic Structure Calculations,
Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach,
A theoretical case study of the generalization of machine-learned potentials,
Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods,
Density of states of a 2D system of soft-sphere fermions by path integral Monte Carlo simulations,
An unconditionally energy-stable and orthonormality-preserving iterative scheme for the Kohn-Sham gradient flow based model,
The reduced basis method in all-electron calculations with finite elements,
Solution of the Schrödinger equation for quasi-one-dimensional materials using helical waves,
Numerical analysis of finite dimensional approximations of Kohn-Sham models,
Iterative diagonalization of symmetric matrices in mixed precision and its application to electronic structure calculations,
Localization in Matrix Computations: Theory and Applications,
Convergence of the EDIIS Algorithm for Nonlinear Equations,
The extended global Lanczos method for matrix function approximation,
A Riemannian derivative-free Polak-Ribiére-Polyak method for tangent vector field,
On optimizing Jacobi-Davidson method for calculating eigenvalues in low dimensional structures using eight band \(\mathbf{k}\cdot\mathbf{p}\) model,
Numerical methods for Bogoliubov-de Gennes excitations of Bose-Einstein condensates,
State-of-the-art eigensolvers for electronic structure calculations of large scale nano-systems,
Gradient Flow Based Kohn--Sham Density Functional Theory Model,
The optimal order convergence for the lowest order mixed finite element method of the biharmonic eigenvalue problem,
A symmetric structure-preserving {\(\Gamma\)}QR algorithm for linear response eigenvalue problems,
A Mortar Spectral Element Method for Full-Potential Electronic Structure Calculations,
Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications,
A cascadic multigrid method for nonsymmetric eigenvalue problem,
Rayleigh-Ritz majorization error bounds for the linear response eigenvalue problem,
Multilevel correction adaptive finite element method for solving nonsymmetric eigenvalue problems,
Structure-preserving \(\Gamma\) QR and \(\Gamma\)-Lanczos algorithms for Bethe-Salpeter eigenvalue problems,
On an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theory,
On an Eigenvector-Dependent Nonlinear Eigenvalue Problem,
A spectral scheme for Kohn-Sham density functional theory of clusters,
Shifted extended global Lanczos processes for trace estimation with application to network analysis,
Efficient Spectral-Element Methods for the Electronic Schrödinger Equation,
Perturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applications,
Spectral residual method for nonlinear equations on Riemannian manifolds,
A Thick-Restart Lanczos Algorithm with Polynomial Filtering for Hermitian Eigenvalue Problems,
A density matrix approach to the convergence of the self-consistent field iteration,
Numerical methods for nonlinear equations,
How Accurately Should I Compute Implicit Matrix-Vector Products When Applying the Hutchinson Trace Estimator?,
The extended symmetric block Lanczos method for matrix-valued Gauss-type quadrature rules,
Extended nonsymmetric global Lanczos method for matrix function approximation,
Interpolating self consistent field for eigenvector nonlinearities,
Trace minimization method via penalty for linear response eigenvalue problems,
Quantum optimal control using the adjoint method,
An Eigenvalue-Based Method for the Unbalanced Procrustes Problem,
Convergence Analysis for Anderson Acceleration,
Convergence Analysis of Direct Minimization and Self-Consistent Iterations,
Triangularized orthogonalization-free method for solving extreme eigenvalue problems,
A new family of mixed method for the biharmonic eigenvalue problem based on the first order equations of Hellan-Herrmann-Johnson type,
Linearizable Eigenvector Nonlinearities,
An Adaptive Planewave Method for Electronic Structure Calculations