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Symmetric rank-one

Known as: SR1 formula 
The Symmetric Rank 1 (SR1) method is a quasi-Newton method to update the second derivative (Hessian)based on the derivatives (gradients) calculated… 
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Related topics

Related topics

5 relations
GradientList of numerical analysis topicsNewton's method in optimizationQuasi-Newton method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
On the perturbation of rank‐one symmetric tensors
The problem of symmetric rank‐one approximation of symmetric tensors is important in independent components analysis, also known… 
2011
2011
Structured symmetric rank-one method for unconstrained optimization
In this paper, we investigate a symmetric rank-one (SR1) quasi-Newton (QN) formula in which the Hessian of the objective function… 
2011
2011
A symmetric rank-one quasi-Newton line-search method using negative curvature directions
We propose a quasi-Newton line-search method that uses negative curvature directions for solving unconstrained optimization… 
2010
2010
Convergence of Symmetric Rank-one Method Based on Modified Quasi-Newton Equation
In this paper we investigate on convergence rate of a modified symmetric rank-one (SR1) method for unconstrainedoptimization… 
Review
2010
Review
2010
Implementation of Symmetric Rank-One Methods for Unconstrained Optimization
The focus of this thesis is on analyzing the theoretical and computational aspects of some quasi-Newton (QN) methods for locating… 
2009
2009
Multi-steps Symmetric Rank-one Update for Unconstrained Optimization
In this paper, we present a generalized Symmetric Rank-one (SR1) method by employing interpolatory polynomials in order to… 
2009
2009
Memoryless modified symmetric rank-one method for large-scale unconstrained optimization
Problem statement: Memoryless QN methods have been regarded effective techniques for solving large-scale problems that can be… 
1998
1998
Use of symmetric rank-one Hessian update in molecular geometry optimization
The use of the symmetric rank-one Hessian update and the Ž . Broyden]Fletcher]Goldfarb]Shano BFGS update formula are considered… 
1997
1997
Metric-Based Symmetric Rank-One Updates
Metric-based SR1 updates which are stabilized by a variationalrelaxation of the quasi-Newton relation are examined… 
1995
1995
Local Convergence of the Symmetric Rank-One Iteration
We consider conditions under which the SR1 iteration is locally convergent. We apply the result to a pointwise structured SR1… 
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