Extension of Newton-Kantorovich Theorem for Subanalytic Equations

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
Alain Pietrus
Keyword(s):  
Kantorovich Theorem

scholarly journals Existence and uniqueness regions for solutions of nonlinear equations

1978 ◽  
Vol 19 (2) ◽  
pp. 277-282 ◽  
Author(s):  
A.L. Andrew
Keyword(s):  
Nonlinear Equations ◽  
Existence And Uniqueness ◽  
Kantorovich Theorem ◽  
Potential Applications ◽  
Uniqueness Theory

A refinement of the Newton-Kantorovich Theorem, which has many-potential applications in existence - uniqueness theory, is used to strengthen a result of Lancaster and Rokne concerning existence and uniqueness regions for zeros of operator polynomials.

A Modification of the Lipschitz Condition in the Newton–Kantorovich Theorem

2016 ◽  
Vol 35 (3) ◽  
pp. 309-331
Author(s):  
José Antonio Ezquerro ◽  
Miguel Angel Hernández-Verón
Keyword(s):  
Lipschitz Condition ◽  
Kantorovich Theorem

A generalized Kantorovich theorem on the solvability of nonlinear equations

2009 ◽  
Vol 77 (1-2) ◽  
pp. 99-105 ◽  
Author(s):  
Livinus U. Uko ◽  
Ioannis K. Argyros
Keyword(s):  
Nonlinear Equations ◽  
Kantorovich Theorem

The Newton-Kantorovich Theorem

1968 ◽  
Vol 75 (6) ◽  
pp. 658 ◽  
Author(s):  
J. M. Ortega
Keyword(s):  
Kantorovich Theorem
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