Numerical Methods for Large Eigenvalue Problems: Revised Edition

Iterative Methods for Sparse Linear Systems

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A variational eigenvalue solver on a photonic quantum processor

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IEEE Transactions on Pattern Analysis and Machine Intelligence

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Ab initio molecular simulations with numeric atom-centered orbitals

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Fast linear iterations for distributed averaging

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Modal Analysis of Fluid Flows: An Overview

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The Quadratic Eigenvalue Problem

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A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems

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

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Expokit: a software package for computing matrix exponentials

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Fastest Mixing Markov Chain on a Graph

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Deflation Techniques for an Implicitly Restarted Arnoldi Iteration

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Mining Text Data

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Density Matrix Analysis and Simulation of Electronic Excitations in Conjugated and Aggregated Molecules

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Pseudospectra of Linear Operators

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The Configuration Interaction Method: Advances in Highly Correlated Approaches

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Semiclassical approximations for the calculation of thermal rate constants for chemical reactions in complex molecular systems

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Quantum dynamics with real wave packets, including application to three-dimensional (J=0)D+H2→HD+H reactive scattering

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NMR survey of reflected Brownian motion

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A Direct Approach to Conformational Dynamics Based on Hybrid Monte Carlo

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Eigenvalue computation in the 20th century

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Efficient Sampling Set Selection for Bandlimited Graph Signals Using Graph Spectral Proxies

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

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Orthogonal Neighborhood Preserving Projections: A Projection-Based Dimensionality Reduction Technique

Kokiopoulou, E., & Saad, Y. E.-M. (2007) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2007.1131 · Cited by 320 · see citing works

Vector Spaces of Linearizations for Matrix Polynomials

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Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems

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Numerical Methods for Electronic Structure Calculations of Materials

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A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems

Sleijpen, G. L. G., & van der Vorst, H. A. (2000) · SIAM Review · doi:10.1137/s0036144599363084 · Cited by 308 · see citing works

Canonical Correlation Analysis for Multilabel Classification: A Least-Squares Formulation, Extensions, and Analysis

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GMRES with Deflated Restarting

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A New Truncation Strategy for the Higher-Order Singular Value Decomposition

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Network deconvolution as a general method to distinguish direct dependencies in networks

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Geometrical structure of Laplacian eigenfunctions

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Active Subspace Methods in Theory and Practice: Applications to Kriging SurfacesPreprint

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Jacobi-davidson type methods for generalized eigenproblems and polynomial eigenproblems

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A new generation 99 line Matlab code for compliance topology optimization and its extension to 3D

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SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem

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Direct optimal growth analysis for timesteppers

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Effective Boundary Conditions for Laminar Flows over Periodic Rough Boundaries

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Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing

Simoncini, V., & Szyld, D. B. (2003) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827502406415 · Cited by 231 · see citing works

The nonlinear eigenvalue problem

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Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries

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Implicitly Restarted Arnoldi/Lanczos Methods for Large Scale Eigenvalue Calculations

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Three-dimensional instabilities and transition of steady and pulsatile axisymmetric stenotic flows

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Fast linear iterations for distributed averaging

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Optimal parameters in the HSS‐like methods for saddle‐point problems

Bai, Z. (2008) · Numerical Linear Algebra with Applications · doi:10.1002/nla.626 · Cited by 220 · see citing works

Computation of pseudospectra

Trefethen, L. N. (1999) · Acta Numerica · doi:10.1017/s0962492900002932 · Cited by 217 · see citing works

Towards a sampling theorem for signals on arbitrary graphs

Anis, A., Gadde, A., & Ortega, A. (2014) · IEEE International Conference on Acoustics Speech and Signal Processing · doi:10.1109/icassp.2014.6854325 · Cited by 213 · see citing works

Fast maximum likelihood estimation of very large spatial autoregressive models: a characteristic polynomial approach

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Subspace Iteration Randomization and Singular Value Problems

Gu, M. (2015) · SIAM Journal on Scientific Computing · doi:10.1137/130938700 · Cited by 203 · see citing works

Periodic Leaky-Wave Antenna for Millimeter Wave Applications Based on Substrate Integrated Waveguide

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Light-Driven and Phonon-Assisted Dynamics in Organic and Semiconductor Nanostructures

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Deflated and Augmented Krylov Subspace Techniques

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Self-consistent-field calculations using Chebyshev-filtered subspace iteration

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A quasi-Newton acceleration for high-dimensional optimization algorithms

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Trace optimization and eigenproblems in dimension reduction methods

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Model Reduction in Power Systems Using Krylov Subspace Methods

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Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations

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Parallel self-consistent-field calculations via Chebyshev-filtered subspace acceleration

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Three-dimensional parallel distributed inversion of CSEM data using a direct forward solver

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On restarting the Arnoldi method for large nonsymmetric eigenvalue problems

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Parallel Selective Algorithms for Nonconvex Big Data Optimization

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Rapid iterative method for electronic-structure eigenproblems using localised basis functions

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Efficient model reduction in non-linear dynamics using the Karhunen-Lo�ve expansion and dual-weighted-residual methods

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Probing Real-Space and Time-Resolved Correlation Functions with Many-Body Ramsey Interferometry

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Local Linear Convergence of the Alternating Direction Method of Multipliers on Quadratic or Linear Programs

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Gramian-Based Reduction Method Applied to Large Sparse Power System Descriptor Models

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Generalized spectral decomposition method for solving stochastic finite element equations: Invariant subspace problem and dedicated algorithms

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Implicitly Restarted GMRES and Arnoldi Methods for Nonsymmetric Systems of Equations

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Segmentation and Classification of Polarimetric SAR Data Using Spectral Graph Partitioning

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An Iterative Method for Nonsymmetric Systems with Multiple Right-Hand Sides

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The Lanczos and conjugate gradient algorithms in finite precision arithmetic

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Some Perspectives on the Eigenvalue Problem

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Link Prediction on Evolving Data Using Matrix and Tensor Factorizations

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Structure-Preserving Methods for Computing Eigenpairs of Large Sparse Skew-Hamiltonian/Hamiltonian Pencils

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Reduced-Order Modeling Techniques Based on Krylov Subspaces and Their Use in Circuit Simulation

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Approximating Spectral Densities of Large Matrices

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Resonant nonlinear polarizabilities in the time-dependent density functional theory

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An overview of the sparse basic linear algebra subprograms

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Computing an Eigenvector with Inverse Iteration

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Subspace Estimation and Decomposition for Large Millimeter-Wave MIMO Systems

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Combined morphological-spectral unsupervised image segmentation

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An Adaptive Newton--Picard Algorithm with Subspace Iteration for Computing Periodic Solutions

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Many-body localization in the age of classical computing *

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A filter diagonalization for generalized eigenvalue problems based on the Sakurai–Sugiura projection method

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Eigenvector Continuation with Subspace Learning

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Analysis of Projection Methods for Solving Linear Systems with Multiple Right-Hand Sides

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Convergence properties of block GMRES and matrix polynomials

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An analysis of the Rayleigh–Ritz method for approximating eigenspaces

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An implicitly restarted Lanczos method for large symmetric eigenvalue problems

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Multi-View Graph Learning by Joint Modeling of Consistency and Inconsistency

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Quantifying Admissible Undersampling for Sparsity-Exploiting Iterative Image Reconstruction in X-Ray CT

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Automated design of waveguide components using hybrid mode-matching/numerical EM building-blocks in optimization-oriented CAD frameworks-state of the art and recent advances

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An Inverse Free Preconditioned Krylov Subspace Method for Symmetric Generalized Eigenvalue Problems

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Structured Backward Error and Condition of Generalized Eigenvalue Problems

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Operator growth and Krylov construction in dissipative open quantum systems

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Non-periodic finite-element formulation of Kohn–Sham density functional theory

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Least-Squares Covariance Matrix Adjustment

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GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

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