一类奇异鞍点问题的特征值界

Eigenvalue bounds for a class of singular saddle point problems

鞍点问题在最优化理论和方法、计算流体力学等领域具有重要应用.通过巧妙地利用SVD(奇异值分解),讨论了一类奇异鞍点问题的特征值分布,给出了特征值的分布区间估计,推广了T.Rusten和R.Winther的结果.

Saddle point problem is of interest to optimization theory and method and to computation fluid mechanics. By using ingeniously SVD （singular value decomposition）, the eigenvalue distribution for a class of singular saddle point problems was analyzed, and the intervals of eigenvalue distribution were given. The results in this paper generalized the ones obtained by T. Rusten and R. Winther.