On the convergence of harmonic mean Newton method under \(\omega\) continuity condition in Banach spaces
DOI10.1007/S40819-021-01159-3zbMath1499.65204OpenAlexW3207125428MaRDI QIDQ2114438
Debasis Sharma, Shanta Kumari Sunanda, Sanjaya Kumar Parhi, Ioannis K. Argyros, Christopher I. Argyros
Publication date: 15 March 2022
Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40819-021-01159-3
local convergenceattraction basinsemi-local convergence\( \omega\) continuity conditionharmonic mean Newton method
Newton-type methods (49M15) Numerical computation of solutions to systems of equations (65H10) Numerical solutions to equations with nonlinear operators (65J15) Numerical approximation and computational geometry (primarily algorithms) (65D99) Error analysis and interval analysis (65G99)
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