The eigenvalue distribution of block diagonally dominant matrices and block H-matrices
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 621-639.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: 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.
Classification : 15A15, 15F10
Mots-clés : eigenvalues, block diagonally dominant, block H, matrix, non-Hermitian positive (negative) definite 
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     author = {Zhang, Cheng-Yi and Luo, Shuanghua and Huang, Aiqun and Xu, Chengxian},
     title = {The eigenvalue distribution of block diagonally dominant matrices and block {H-matrices}},
     journal = {ELA. The Electronic Journal of Linear Algebra},
     pages = {621--639},
     publisher = {mathdoc},
     volume = {20},
     year = {2010},
     language = {en},
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Zhang, Cheng-Yi; Luo, Shuanghua; Huang, Aiqun; Xu, Chengxian. The eigenvalue distribution of block diagonally dominant matrices and block H-matrices. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 621-639. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a9/