Kantorovich theorem
theorem about initial conditions that insure the convergence of Newton's method
In mathematics (especially numerical analysis), the Kantorovich theorem (or the Newton-Kantorovich theorem) is a mathematical statement about the convergence of Newton's method.[1][2][3] This theorem was named after Leonid Kantorovich,[1] and it is frequently used in the field of validated numerics.[4]
References
Further reading
- Yamamoto, T. (2001). "Historical Developments in Convergence Analysis for Newton's and Newton-like Methods". In Brezinski, C.; Wuytack, L. (eds.). Numerical Analysis : Historical Developments in the 20th Century. North-Holland. pp. 241–263.
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