The eigenvalue distribution of block diagonally dominant matrices and block H-matrices
Chengyi Zhang, Shuanghua Luo, Aiqun Huang, Chengxian Xu · Electronic Journal of Linear Algebra · 2010
The paper studies the eigenvalue distribution of some special matrices, including block diagonally dominant matrices and block H−matrices. A well-known theorem of Taussky on the eigenvalue distribution is extended to such matrices. Conditions on a block matrix are also given so that it has certain numbers of eigenvalues with positive and negative real parts.