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Large-Scale Optimization of Eigenvalues

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Geometric Algorithms and Combinatorial Optimization
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Optimal preconditioners of a given sparsity pattern
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The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices
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Two algorithms for the lower bound method of reduced density matrix theory
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Multiple eigenvalues in problems of optimizing the spectral properties of systems with a finite number of degrees of freedom
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Practical optimization
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Strongest Columns and Isoperimetric Inequalities for Eigenvalues
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Semi-Definite Matrix Constraints in Optimization
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On Minimizing the Maximum Eigenvalue of a Symmetric Matrix
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Convex Analysis
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What points at this work

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An Algebraic Analysis of a Block Diagonal Preconditioner for Saddle Point Systems
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Minimizing the Condition Number for Small Rank Modifications
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On the Optimal Design of Columns Against Buckling
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A Trust Region Spectral Bundle Method for Nonconvex Eigenvalue Optimization
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Smooth Optimization with Approximate Gradient
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On the Sum of the Largest Eigenvalues of a Symmetric Matrix
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Fastest Mixing Markov Chain on Graphs with Symmetries
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Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization
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Nonpolyhedral Relaxations of Graph-Bisection Problems
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On Eigenvalue Optimization
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Convex Analysis on the Hermitian Matrices
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An Interior-Point Method for Semidefinite Programming
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GMRES/CR and Arnoldi/Lanczos as Matrix Approximation Problems
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Minimizing the Condition Number of a Gram Matrix
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Semidefinite Programming
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Minimizing the Condition Number to Construct Design Points for Polynomial Regression Models
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Numerical Optimization of Eigenvalues of Hermitian Matrix Functions
inferred← citeshttps://doi.org/10.1137/15m1034283openalex-snapshot
Low-Rank Spectral Optimization via Gauge Duality
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Compact Two-Sided Krylov Methods for Nonlinear Eigenvalue Problems
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Condition Number Minimization in Euclidean Jordan Algebras
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Revisiting Spectral Bundle Methods: Primal-Dual (Sub)linear Convergence Rates
inferred← citeshttps://doi.org/10.1137/22m1472589openalex-snapshot
Variational Characterization and Rayleigh Quotient Iteration of 2D Eigenvalue Problem with Applications
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Finding Optimal Weight Vectors for Ridge Function Approximation in \(\boldsymbol{L}^{\boldsymbol{2}}\boldsymbol{(D)}\)
inferred← citeshttps://doi.org/10.1137/s0036144503423264openalex-snapshot
Fastest Mixing Markov Chain on a Graph
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The Fastest Mixing Markov Process on a Graph and a Connection to a Maximum Variance Unfolding Problem
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Twice Differentiable Spectral Functions
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A Hybrid Algorithm for Optimizing Eigenvalues of Symmetric Definite Pencils
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Second Derivatives for Optimizing Eigenvalues of Symmetric Matrices
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Group Invariance and Convex Matrix Analysis
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Primal-Dual Gradient Structured Functions: Second-Order Results; Links to Epi-Derivatives and Partly Smooth Functions
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On Extending Some Primal--Dual Interior-Point Algorithms From Linear Programming to Semidefinite Programming
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Reconstruction with Noisy Data: An Approach via Eigenvalue Optimization
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The $\U$-Lagrangian of the Maximum Eigenvalue Function
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A Spectral Bundle Method for Semidefinite Programming
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On $\mathcalVU$-theory for Functions with Primal-Dual Gradient Structure
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The Simplest Semidefinite Programs are Trivial
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Derivatives of Spectral Functions
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On the Rank of Extreme Matrices in Semidefinite Programs and the Multiplicity of Optimal Eigenvalues
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Optimal Diagonal Preconditioning
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SHAPE OPTIMIZATION OF SPACE STRUCTURES FOR BUCKLING LOAD
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Geometric Optimization Methods for Adaptive Filtering
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Adapting The Gibbs Sampler
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Optimized Eigenstructure Assignment
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