An example concerning quasi-Newton estimation of a sparse hessian

Author:

Sorensen Danny C.1

Affiliation:

1. Argonne, Illinois

Abstract

An example is given which shows that certain quasi-Newton methods for sparse optimization problems can be unstable.

Publisher

Association for Computing Machinery (ACM)

Reference10 articles.

1. Quasi-Newton Methods, Motivation and Theory

2. Least Change Secant Updates for Quasi-Newton Methods

3. E. Marwill "Local and linear convergence of an algorithm for solving a sparse minimization problem " to appear in SIAM J. on Numerical Analysis. E. Marwill "Local and linear convergence of an algorithm for solving a sparse minimization problem " to appear in SIAM J. on Numerical Analysis.

4. Quasi-Newton formulae for sparse second derivative matrices;Powell M. J. D.;Internal Report DAMTP,1979

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2. Approximating Hessians in unconstrained optimization arising from discretized problems;Computational Optimization and Applications;2010-01-12

3. Large-scale Nonlinear Constrained Optimization: a Current Survey;Algorithms for Continuous Optimization;1994

4. Explicit general solution of the Quasi-Newton equation with sparsity and symmetry;Optimization Methods and Software;1993-01

5. Large-Scale Nonlinear Constrained Optimization;Linear Algebra for Large Scale and Real-Time Applications;1993

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