On the convergence of a modified regularized Newton method for convex optimization with singular solutions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.09.030 ◽

2013 ◽

Vol 239 ◽

pp. 179-188 ◽

Author(s):

Weijun Zhou ◽

Xinlong Chen

Keyword(s):

Convex Optimization ◽

Newton Method ◽

Singular Solutions ◽

Regularized Newton Method

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A Regularized Newton Method with Correction for Unconstrained Convex Optimization

Open Journal of Optimization ◽

10.4236/ojop.2016.51006 ◽

2016 ◽

Vol 05 (01) ◽

pp. 44-52

Author(s):

Liming Li ◽

Mei Qin ◽

Heng Wang

Keyword(s):

Convex Optimization ◽

Newton Method ◽

Regularized Newton Method

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Regularized Newton method for unconstrained convex optimization

Mathematical Programming ◽

10.1007/s10107-007-0143-3 ◽

2007 ◽

Vol 120 (1) ◽

pp. 125-145 ◽

Author(s):

Roman A. Polyak

Keyword(s):

Convex Optimization ◽

Newton Method ◽

Regularized Newton Method

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Expanding the applicability of the Gauss–Newton method for convex optimization under a majorant condition

SeMA Journal ◽

10.1007/s40324-014-0018-5 ◽

2014 ◽

Vol 65 (1) ◽

pp. 37-56 ◽

Author(s):

Á. Alberto Magreñán ◽

Ioannis K. Argyros

Keyword(s):

Convex Optimization ◽

Newton Method ◽

Majorant Condition

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Gauss-Newton method with applications to convex optimization

Iterative Methods and Their Dynamics with Applications ◽

10.1201/9781315153469-18 ◽

2017 ◽

pp. 282-294

Author(s):

Ioannis K. Argyros ◽

Á. Alberto Magreñán

Keyword(s):

Convex Optimization ◽

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A proximal-Newton method for unconstrained convex optimization in Hilbert spaces

Optimization ◽

10.1080/02331934.2017.1389942 ◽

2017 ◽

Vol 67 (1) ◽

pp. 67-82 ◽

Author(s):

M. Marques Alves ◽

Benar F. Svaiter

Keyword(s):

Convex Optimization ◽

Newton Method ◽

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On the solution of three-dimensional inverse obstacle acoustic scattering problems by a regularized Newton method

Inverse Problems ◽

10.1088/0266-5611/18/5/302 ◽

2002 ◽

Vol 18 (5) ◽

pp. 1229-1246 ◽

Author(s):

Charbel Farhat ◽

Radek Tezaur ◽

Rabia Djellouli

Keyword(s):

Newton Method ◽

Three Dimensional ◽

Acoustic Scattering ◽

Scattering Problems ◽

Regularized Newton Method ◽

Acoustic Scattering Problems

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The Gauss-Newton method for finding singular solutions to systems of nonlinear equations

Computational Mathematics and Mathematical Physics ◽

10.1134/s096554250705003x ◽

2007 ◽

Vol 47 (5) ◽

pp. 748-759 ◽

Author(s):

M. Yu. Yerina ◽

A. F. Izmailov

Keyword(s):

Nonlinear Equations ◽

Newton Method ◽

Singular Solutions ◽

Systems Of Nonlinear Equations

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Regularized Newton method for the solution on nonlinear boundary-value problems

Ukrainian Mathematical Journal ◽

10.1007/bf01086601 ◽

1972 ◽

Vol 23 (1) ◽

pp. 124-124

Author(s):

V. E. Shamanskii

Keyword(s):

Boundary Value Problems ◽

Newton Method ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value ◽

Regularized Newton Method

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Convergence Rates of a Regularized Newton Method in Sound-Hard Inverse Scattering

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142997327750 ◽

1998 ◽

Vol 36 (1) ◽

pp. 125-142 ◽

Author(s):

Thorsten Hohage

Keyword(s):

Newton Method ◽

Inverse Scattering ◽

Convergence Rates ◽

Regularized Newton Method

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A regularized Newton method for solving equilibrium programming problems with an inexactly specified set

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542507010046 ◽

2007 ◽

Vol 47 (1) ◽

pp. 19-31 ◽

Author(s):

A. S. Antipin ◽

F. P. Vasil’ev ◽

A. S. Stukalov

Keyword(s):

Newton Method ◽

Equilibrium Programming ◽

Regularized Newton Method

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