A Note on the Finite Variance of the Averaging Function for Polynomial System Solving
نویسندگان
چکیده
In a recent paper, the average complexity of linear homotopy methods to solve polynomial equations with random initial input (in a sense to be described below) was proven to be finite, and even polynomial in the size of the input. In this paper, we prove that some other higher moments are also finite. In particular, we show that the variance is polynomial in the size of the input.
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ورودعنوان ژورنال:
- Foundations of Computational Mathematics
دوره 10 شماره
صفحات -
تاریخ انتشار 2010