Title: Finding zeros of Hölder metrically subregular mappings via globally convergent Levenberg–Marquardt methods

Journal Article · · Optimization Methods and Software
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Luxembourg Center for Systems Biomedicine, University of Luxembourg, Luxembourg, Department of Electrical Engineering (ESAT-STADIUS) – KU Leuven, Leuven Belgium
  2. Luxembourg Center for Systems Biomedicine, University of Luxembourg, Luxembourg, Universiteit Leiden, Leiden Academic Centre for Drug Research, Leiden, Netherlands
  3. Luxembourg Center for Systems Biomedicine, University of Luxembourg, Luxembourg, Mathematical Sciences School, University of Southampton, Southampton, UK, Department of Mathematics, University of Technology and Education Ho Chi Minh City, Vietnam
+ Show Author Affiliations

Not Available

Sponsoring Organization:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
SC0010429
OSTI ID:
1678752
Journal Information:
Optimization Methods and Software, Journal Name: Optimization Methods and Software Journal Issue: 1 Vol. 37; ISSN 1055-6788
Publisher:
Informa UK LimitedCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (42)

Introductory Lectures on Convex Optimization book January 2004
The Levenberg-Marquardt algorithm: Implementation and theory book January 1978
On the Quadratic Convergence of the Levenberg-Marquardt Method without Nonsingularity Assumption journal January 2005
Local behavior of an iterative framework for generalized equations with nonisolated solutions journal December 2002
Cubic regularization of Newton method and its global performance journal April 2006
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function- and derivative-evaluation complexity journal January 2010
Gradient methods for minimizing composite functions journal December 2012
Proximal alternating linearized minimization for nonconvex and nonsmooth problems journal July 2013
New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors journal August 2014
Accelerating the DC algorithm for smooth functions journal July 2017
Benchmarking optimization software with performance profiles journal January 2002
Local convergence of the Levenberg–Marquardt method under Hölder metric subregularity journal June 2019
Algebraic rules for computing the regularization parameter of the Levenberg–Marquardt method journal April 2016
On a Global Complexity Bound of the Levenberg-Marquardt Method journal July 2010
Global Complexity Bound Analysis of the Levenberg–Marquardt Method for Nonsmooth Equations and Its Application to the Nonlinear Complementarity Problem journal September 2011
An efficient nonmonotone trust-region method for unconstrained optimization journal September 2011
An inexact line search approach using modified nonmonotone strategy for unconstrained optimization journal June 2013
Globally convergent algorithms for finding zeros of duplomonotone mappings journal September 2014
Levenberg–Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints journal December 2004
Incorporating nonmonotone strategies into the trust region method for unconstrained optimization journal May 2008
Conditions for duality between fluxes and concentrations in biochemical networks journal November 2016
An inexact Levenberg-Marquardt method for large sparse nonlinear least squres journal April 1985
Generation of genome-scale metabolic reconstructions for 773 members of the human gut microbiota journal November 2016
Creation and analysis of biochemical constraint-based models using the COBRA Toolbox v.3.0 journal February 2019
A Globally Convergent Trust-Region Method for Large-Scale Symmetric Nonlinear Systems journal May 2015
A class of nonmonotone Armijo-type line search method for unconstrained optimization journal April 2012
Modified Gauss–Newton scheme with worst case guarantees for global performance journal June 2007
Detection of stoichiometric inconsistencies in biomolecular models journal August 2008
Strong local convergence properties of adaptive regularized methods for nonlinear least squares journal May 2014
A Nonmonotone Line Search Technique for Newton’s Method journal August 1986
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares journal January 2010
On the Complexity of Steepest Descent, Newton's and Regularized Newton's Methods for Nonconvex Unconstrained Optimization Problems journal January 2010
Rank-Deficient Nonlinear Least Squares Problems and Subset Selection journal January 2011
Iterative Solution of Nonlinear Equations in Several Variables book January 2000
Trust Region Methods book January 2000
Iterative Methods for Optimization book January 1999
Numerical Methods for Unconstrained Optimization and Nonlinear Equations book January 1996
Quasi-Newton Methods, Motivation and Theory journal January 1977
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality journal May 2010
Hypergraphs and Cellular Networks journal May 2009
Identification of Conserved Moieties in Metabolic Networks by Graph Theoretical Analysis of Atom Transition Networks journal November 2016
On gradients of functions definable in o-minimal structures journal January 1998

Similar Records

Related Subjects