Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation

O. P. Ferreira; G. N. Silva

doi:10.1137/16m1098012

Kantorovich's Theorem on Newton's Method for Solving Strongly Regular Generalized Equation

SIAM Journal on Optimization ◽

10.1137/16m1098012 ◽

2017 ◽

Vol 27 (2) ◽

pp. 910-926 ◽

Cited By ~ 4

Author(s):

O. P. Ferreira ◽

G. N. Silva

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equation ◽

Kantorovich’S Theorem ◽

Strongly Regular

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Extending the Kantorovich’s theorem on Newton’s method for solving strongly regular generalized equation

Optimization Letters ◽

10.1007/s11590-018-1266-6 ◽

2018 ◽

Vol 13 (1) ◽

pp. 213-226

Author(s):

I. K. Argyros ◽

G. N. Silva

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equation ◽

Kantorovich’S Theorem ◽

Strongly Regular

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The Kantorovich's Theorem on Newton's Method for Solving Generalized Equation

10.1201/9781003128915-12 ◽

2021 ◽

pp. 259-272

Author(s):

Ioannis K. Argyros

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equation ◽

Kantorovich’S Theorem

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Kantorovich's Theorem on Newton's Method in Riemannian Manifolds

Journal of Complexity ◽

10.1006/jcom.2001.0582 ◽

2002 ◽

Vol 18 (1) ◽

pp. 304-329 ◽

Cited By ~ 69

Author(s):

O.P. Ferreira ◽

B.F. Svaiter

Keyword(s):

Riemannian Manifolds ◽

Newton’S Method ◽

Newton's Method ◽

Kantorovich’S Theorem

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Kantorovich’s theorem on Newton’s method for solving generalized equations under the majorant condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.04.015 ◽

2016 ◽

Vol 286 ◽

pp. 178-188 ◽

Cited By ~ 6

Author(s):

Gilson N. Silva

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations ◽

Kantorovich’S Theorem ◽

Majorant Condition

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Kantorovich’s theorem for Newton’s method on Lie groups

Journal of Zhejiang University SCIENCE A ◽

10.1631/jzus.2007.a0978 ◽

2007 ◽

Vol 8 (6) ◽

pp. 978-986 ◽

Cited By ~ 3

Author(s):

Jin-hua Wang ◽

Chong Li

Keyword(s):

Lie Groups ◽

Newton’S Method ◽

Newton's Method ◽

Kantorovich’S Theorem

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Local convergence analysis of Newton's method for solving strongly regular generalized equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.09.023 ◽

2018 ◽

Vol 458 (1) ◽

pp. 481-496 ◽

Cited By ~ 3

Author(s):

O.P. Ferreira ◽

G.N. Silva

Keyword(s):

Convergence Analysis ◽

Newton’S Method ◽

Local Convergence ◽

Newton's Method ◽

Generalized Equations ◽

Strongly Regular ◽

Local Convergence Analysis

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Kantorovich’s theorem on Newton’s method under majorant condition in Riemannian manifolds

Journal of Global Optimization ◽

10.1007/s10898-016-0472-y ◽

2016 ◽

Vol 68 (2) ◽

pp. 387-411

Author(s):

T. Bittencourt ◽

O. P. Ferreira

Keyword(s):

Riemannian Manifolds ◽

Newton’S Method ◽

Newton's Method ◽

Kantorovich’S Theorem ◽

Majorant Condition

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Expanding the Applicability of the Kantorovich’s Theorem for Solving Generalized Equations Using Newton’s Method

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-016-0297-x ◽

2016 ◽

Vol 3 (4) ◽

pp. 3295-3304

Author(s):

Ioannis K. Argyros ◽

Santhosh George

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Generalized Equations ◽

Kantorovich’S Theorem

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Optimal Power Flow Using Newton’s Method

International Journal of Scientific Research ◽

10.15373/22778179/feb2014/54 ◽

2012 ◽

Vol 3 (2) ◽

pp. 167-169

Author(s):

F.M.PATEL F.M.PATEL ◽

◽

N. B. PANCHAL N. B. PANCHAL

Keyword(s):

Newton’S Method ◽

Newton's Method ◽

Power Flow ◽

Optimal Power Flow ◽

Optimal Power

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Newton's Method for Fractional Combinatorial Optimization,

10.21236/ada323687 ◽

1992 ◽

Cited By ~ 4

Author(s):

Thomas Radzik

Keyword(s):

Combinatorial Optimization ◽

Newton’S Method ◽

Newton's Method ◽

Fractional Combinatorial Optimization

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