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Algorithms to approximate numerically a root of a nonlinear equation or system: for instance, Newton's method, secant method, bisection, etc.

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Number of positive roots for an exponential sum

Given $n\geq 3$ distinct constants $c_1, c_2, ..., c_n \in\mathbb{C}$, I want to bound/estimate the number of positive real roots for the equation $$f(x):=\sum_{i=1}^{n}\dfrac{c_i^n}{\prod_{j\neq i}(c …
Abhishek Halder's user avatar