Abstract The Levenberg–Marquardt method is a fundamental regularization technique for
the Newton method applied to nonlinear equations, possibly constrained, and possibly with …

In this work, we propose a modified inexact Levenberg–Marquardt method with the descent
property for solving nonlinear equations. A novel feature of the proposed method is that one …

The problem considered is that of determining the shape of a plane acoustically sound-soft
obstacle from the knowledge of the far-field pattern for one time-harmonic incident field. An …

Having in mind singular solutions of smooth reformulations of complementarity problems,
arising unavoidably when the solution in question violates strict complementarity, we study …

Abstract The Levenberg–Marquardt method is a regularized Gauss–Newton method for
solving systems of nonlinear equations. If an error bound condition holds it is known that …

Abstract A new Levenberg–Marquardt (LM) method for solving nonlinear least squares
problems with convex constraints is described. Various versions of the LM method have …

In this paper, we consider a large class of nonlinear equations derived from first-order type
methods for solving composite optimization problems. Traditional approaches to …

We address the problem of solving a continuously differentiable nonlinear system of
equations under the condition of calmness. This property, also called upper Lipschitz …

Abstract The projected Levenberg-Marquardt method for the solution of a system of
equations with convex constraints is known to converge locally quadratically to a possibly …

Recently, the Levenberg–Marquardt (LM) method has been used for solving systems of
nonlinear equations with nonisolated solutions. Under certain conditions it converges Q …