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- W3102881024 abstract "Newton's method is an ubiquitous tool to solve equations, both in the archimedean and non-archimedean settings --- for which it does not really differ. Broyden was the instigator of what is called quasi-Newton methods. These methods use an iteration step where one does not need to compute a complete Jacobian matrix nor its inverse. We provide an adaptation of Broyden's method in a general non-archimedean setting, compatible with the lack of inner product, and study its Q and R convergence. We prove that our adapted method converges at least Q-linearly and R-superlinearly with R-order [EQUATION] in dimension m. Numerical data are provided." @default.
- W3102881024 created "2020-11-23" @default.
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- W3102881024 date "2020-07-20" @default.
- W3102881024 modified "2023-10-13" @default.
- W3102881024 title "On a non-archimedean broyden method" @default.
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- W3102881024 doi "https://doi.org/10.1145/3373207.3404045" @default.
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