In this article the expected value of the moments of the normalized condition number for a random underdetermined polynomial system is computed. This expected value is calculated for the operator and Frobenius norms. In the case of the Frobenius norm only the second moment is computed.
翻译:本文计算了随机欠定多项式系统归一化条件数矩的期望值。该期望值针对算子范数和弗罗贝尼乌斯范数进行了计算。在弗罗贝尼乌斯范数的情况下,仅计算了二阶矩。