We derive bounds on the eigenvalues of saddle-point matrices with singular leading blocks. The technique of proof is based on augmentation. Our bounds depend on the principal angles between the ranges or kernels of the matrix blocks. Numerical experiments validate our analytical findings.
翻译:我们从带有单一前导块的马鞍点矩阵的等离子值中得出界限。 验证技术以扩增为基础。 我们的界限取决于矩阵区块的射程或内核之间的主要角度。 数字实验证实了我们的分析结果。