行列式差的扰动上界估计

The Perturbation Upper Bound Estimation of Determinants

基于行列式中特征多项式展开,主要运用矩阵奇异值分解理论,得出行列式差的上界估计与相对扰动上界估计,通过证明比较得出本文结论更优,改进推广了已有结论.

Based on the characteristic polynomial expansion of determinant and the singular value decomposition theory of matrix,the upper bound estimation of determinant difference and relative perturbation are given. By proving,the conclusion of this paper is better and the existing conclusions are improved and generalized.