Trace minimization method via penalty for linear response eigenvalue problems

DOI10.3934/jimo.2021206OpenAlexW4206715557MaRDI QIDQ2083411

Shanshan Liu, Yadan Chen, Yuan Shen

Publication date: 10 October 2022

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2021206

zbMATH Keywords

gradient descenttrace minimizationlinear response eigenvalue problemBarzilai-Borwein step size

Mathematics Subject Classification ID

Nonlinear programming (90C30) Eigenvalues, singular values, and eigenvectors (15A18) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

• Linear response eigenvalue problem solved by extended locally optimal preconditioned conjugate gradient methods
• A block Chebyshev-Davidson method for linear response eigenvalue problems
• A Hamiltonian Krylov-Schur-type method based on the symplectic Lanczos process
• A KQZ algorithm for solving linear-response eigenvalue equations
• Weighted Golub-Kahan-Lanczos bidiagonalization algorithms
• Convergence analysis of Lanczos-type methods for the linear response eigenvalue problem
• Trace-penalty minimization for large-scale eigenspace computation
• Limited Memory Block Krylov Subspace Optimization for Computing Dominant Singular Value Decompositions
• Minimization Principles for the Linear Response Eigenvalue Problem II: Computation
• Minimization Principles for the Linear Response Eigenvalue Problem I: Theory
• Numerical Methods for Electronic Structure Calculations of Materials
• An Efficient Gauss--Newton Algorithm for Symmetric Low-Rank Product Matrix Approximations
• Calculating the Singular Values and Pseudo-Inverse of a Matrix

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