p-范数双严格对角占优矩阵与新的矩阵特征值包含区域
p-Norm DSDD Matrices and New Eigenvalue Localization Region
摘要: 给出一类新的非奇异矩阵——
p-范数双严格对角占优矩阵(简记为p-范数DSDD矩阵)，并由其得到一个新的矩阵特征值包含区域。文中算例表明在某些情况下本文的矩阵特征值包含区域含于著名的Brauer- Cassini卵形区域之中。
Abstract:
A new class of nonsingular matrices, p-norm double strictly diagonally dominant matrices, (shorthand for p-norm DSDD matrices), is presented, and it is used to get a new eigenvalue inclusion region. A numerical example is given to show that the eigenvalue inclusion in this paper, in some cases, is in the famous Brauer-Cassini oval area.
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