Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration
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Publication:6139650
DOI10.1137/22m1525326arXiv2211.05179MaRDI QIDQ6139650
Publication date: 19 January 2024
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.05179
convergence analysisnonlinear eigenvalue problemvariational characterizationself-consistent field iterationgeometry of SCF
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)
Cites Work
- Unnamed Item
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- Tensor Decompositions and Applications
- Maps preserving the joint numerical radius distance of operators
- Damped oscillations of linear systems. A mathematical introduction
- Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
- Iterative approximation of fixed points
- Geometric computation of the numerical radius of a matrix
- Boundary points of joint numerical ranges
- Methods of intermediate problems for eigenvalues. Theory and ramifications
- Linear port-Hamiltonian descriptor systems
- Tensor eigenvalues and their applications
- Computing the numerical radius
- On optimizing the sum of the Rayleigh quotient and the generalized Rayleigh quotient on the unit sphere
- Maximization of the sum of the trace ratio on the Stiefel manifold. I: Theory
- Distance problems for dissipative Hamiltonian systems and related matrix polynomials
- A survey on variational characterizations for nonlinear eigenvalue problems
- A density matrix approach to the convergence of the self-consistent field iteration
- The C-eigenvalue of third order tensors and its application in crystals
- Finding the global optimum of a class of quartic minimization problem
- Computation of the nearest structured matrix triplet with common null space
- Iterative methods for symmetric outer product tensor decomposition
- Eigenvalues of a real supersymmetric tensor
- Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young decomposition
- Robust Convex Optimization
- Rank-One Approximation to High Order Tensors
- On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors
- Elliptic Preconditioner for Accelerating the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory
- The cubic spherical optimization problems
- The Trace Ratio Optimization Problem
- An Inverse Iteration Method for Eigenvalue Problems with Eigenvector Nonlinearities
- An Extension of the Hausdorff-Toeplitz Theorem on the Numerical Range
- Some theorems on the generalized numerical ranges
- A Trust Region Direct Constrained Minimization Algorithm for the Kohn–Sham Equation
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Computing an Eigenvector with Inverse Iteration
- An algorithm for computing the numerical radius
- A Multilinear Singular Value Decomposition
- Templates for the Solution of Algebraic Eigenvalue Problems
- Robust Rayleigh Quotient Minimization and Nonlinear Eigenvalue Problems
- The nonlinear eigenvalue problem
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- On an Eigenvector-Dependent Nonlinear Eigenvalue Problem
- Iterative Solution Methods
- Convexity of the Joint Numerical Range
- A Nonlinear Spectral Method for Core--Periphery Detection in Networks
- Port-Hamiltonian Systems Theory: An Introductory Overview
- Nonlinear Eigenvector Methods for Convex Minimization over the Numerical Range
- On the Analysis of the Discretized Kohn--Sham Density Functional Theory
- Electronic Structure
- Algorithms for the computation of the pseudospectral radius and the numerical radius of a matrix
- New Developments in Molecular Orbital Theory
- Convergence Analysis of Direct Minimization and Self-Consistent Iterations
- Sharp Estimation of Convergence Rate for Self-Consistent Field Iteration to Solve Eigenvector-Dependent Nonlinear Eigenvalue Problems
- Estimation of Structured Distances to Singularity for Matrix Pencils with Symmetry Structures: A Linear Algebra--Based Approach
- Convergence Rate Analysis and Improved Iterations for Numerical Radius Computation
