Smoothing Levenberg-Marquardt algorithm for solving non-Lipschitz absolute value equations

DOI10.1515/jaa-2022-1025OpenAlexW4318040243MaRDI QIDQ6085008

Nurullah Yilmaz, Aysegul Kayacan

Publication date: 2 December 2023

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa-2022-1025

zbMATH Keywords

smoothing techniquesLevenberg-Marquardt algorithmnon-Lipschitz absolute value equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Inequalities involving other types of functions (26D07)

Cites Work

• Unnamed Item
• Unnamed Item
• A classification problem of credit risk rating investigated and solved by optimisation of the ROC curve
• A smoothing-type algorithm for absolute value equations
• A hybrid algorithm for solving the absolute value equation
• A globally and quadratically convergent method for absolute value equations
• A generalized Newton method for absolute value equations associated with circular cones
• A dynamic model to solve the absolute value equations
• Smoothing methods for nonsmooth, nonconvex minimization
• A shift splitting iteration method for generalized absolute value equations
• Absolute value equations
• Absolute value programming
• A generalized Newton method for absolute value equations
• Unified smoothing functions for absolute value equation associated with second-order cone
• SOR-like iteration method for solving absolute value equations
• Numerical comparisons based on four smoothing functions for absolute value equation
• A class of smoothing functions for nonlinear and mixed complementarity problems
• A smoothing Newton method for general nonlinear complementarity problems
• Minimum norm solution to the absolute value equation in the convex case
• A note on absolute value equations
• Tensor absolute value equations
• Neural network based on systematically generated smoothing functions for absolute value equation
• An inverse-free dynamical system for solving the absolute value equations
• On a new smoothing technique for non-smooth, non-convex optimization
• Levenberg-Marquardt method for absolute value equation associated with second-order cone
• Method of alternating projections for the general absolute value equation
• Two new iteration methods with optimal parameters for solving absolute value equations
• An improvement on a class of fixed point iterative methods for solving absolute value equations
• Numerical comparisons of smoothing functions for optimal correction of an infeasible system of absolute value equations
• Levenberg-Marquardt method for solving systems of absolute value equations
• The new iteration algorithm for absolute value equation
• Signal reconstruction by conjugate gradient algorithm based on smoothing \(l_1\)-norm
• A quadratically convergent descent method for the absolute value equation \(Ax + B |x| = b\)
• An incremental clustering algorithm based on hyperbolic smoothing
• Solving absolute value equation using complementarity and smoothing functions
• Modified Newton-type iteration methods for generalized absolute value equations
• The hyperbolic smoothing clustering method
• On equivalent reformulations for absolute value equations
• Smoothing techniques for exact penalty methods
• A smoothing-out technique for min—max optimization
• A theorem of the alternatives for the equationAx+B|x| =b
• A modified fixed point iteration method for solving the system of absolute value equations
• New Smoothing Approximations to Piecewise Smooth Functions and Applications
• Smoothing techniques in solving non-Lipschitz absolute value equations

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