Rump, Siegfried M.Siegfried M.Rump2021-04-282021-04-281997-02Reliable Computing 3 (1): 5-16 (1997-02)http://hdl.handle.net/11420/9394A method is described for calculating verified error bounds for zeros of a system of nonlinear equations f(x) = 0 with continuous f : ℝ → ℝ . We do not require existence of partial derivatives of f, and the function f may even be known only up to some finite precision ε > 0. An inclusion may contain infinitely many zeros of f. An example of a continuous but nowhere differentiable function is given. n nen1573-134019971516KluwerInformatikMathematikJournal Article10.1023/A:1009967901122Other