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Some properties of the Hessian of the logarithmic barrier function

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What this work says

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

inferredcites →https://doi.org/10.1007/bf00932477openalex-snapshot
Analytical expressions for the eigenvalues and eigenvectors of the Hessian matrices of barrier and penalty functions
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A new polynomial-time algorithm for linear programming
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A note on the computation of an orthonormal basis for the null space of a matrix
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Practical methods of optimization
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Matrix perturbation theory
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Interior methods for constrained optimization
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Philips Research Reports
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Operations Research Support Methodology
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Numerical Linear Algebra and Optimization: Volume 1
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Nonlinear Programming--Sequential Unconstrained Minimization Techniques
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Analysis of the Cholesky decomposition of a semi-definite matrix
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Combinatorial optimization:Algorithms and complexity
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A New Modified Cholesky Factorization
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Numerical Methods for Unconstrained Optimization and Nonlinear Equations
inferredcites →https://doi.org/10.1137/1.9781611975604openalex-snapshot
Practical Optimization
inferredcites →https://doi.org/10.1137/1034048openalex-snapshot
Path-Following Methods for Linear Programming
inferredcites →https://doi.org/10.1287/ijoc.5.1.40openalex-snapshot
A Barrier Method for Large-Scale Constrained Optimization
inferredcites →https://doi.org/10.2172/1453943openalex-snapshot
Numerical Methods for Nonlinearly Constrained Optimization
inferredcites →https://doi.org/10.2172/7333261openalex-snapshot
Numerical methods for nonlinearly constrained optimization
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem
inferredcites →https://doi.org/10.2307/2008742openalex-snapshot
Practical Methods of Optimization.
inferredcites →https://doi.org/10.2307/2322374openalex-snapshot
Combinatorial Optimization: Algorithms and Complexity.
inferredcites →https://doi.org/10.56021/9781421407944openalex-snapshot
Matrix Computations

What points at this work

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Using Improved Directions of Negative Curvature for the Solution of Bound-Constrained Nonconvex Problems
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The cholesky factorization in interior point methods
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Local Behavior of the Newton Method on Two Equivalent Systems from Linear Programming
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Sphere of Convergence of Newton's Method on Two Equivalent Systems from Nonlinear Programming
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Algorithm of Barrier Objective Penalty Function
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Minimizing the peak-to-average power ratio of OFDM signals via convex optimization
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Power factor correction and harmonic mitigation in industry
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A convex interior-point method for optimal OFDM PAR reduction
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Fast Constrained Least Squares Spectral Unmixing Using Primal-Dual Interior-Point Optimization
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Minimizing the Peak-to-Average Power Ratio of OFDM Signals Using Convex Optimization
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Why a Pure Primal Newton Barrier Step May be Infeasible
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Bounds on Eigenvalues of Matrices Arising from Interior-Point Methods
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Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization
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On the Least Squares Approximation of Symmetric-Definite Pencils Subject to Generalized Spectral Constraints
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Properties of the Log-Barrier Function on Degenerate Nonlinear Programs
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New probabilistic inference algorithms that harness the strengths of variational and Monte Carlo methods
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Applications of Primal-dual Interior Methods in Structural Optimization
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Truncated Log-concave Sampling with Reflective Hamiltonian Monte Carlo
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