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Volume 5, Issue 3
An Improvement on Disc Separation of the Schur Complement and Bounds

Zhuohong Huang, Tingzhu Huang

J. Info. Comput. Sci. , 5 (2010), pp. 224-232.

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  • Abstract
In this paper, we improve the disc separation of the Schur complement of strictly diagonally dominant matrices presented in Liu [SIAM. J. Matrix Anal. Appl., 27 (2005): 665-674]. As applications, we present some new bounds for determinants of original matrices and estimations for eigenvalues of Schur complement. By theoretical analysis, we improve the bounds of determinants established in Huang [Comput. Math. Appl., 50 (2005): 1677-1684].
  • Keywords

H-matrix strictly (doubly) diagonally dominant matrix Schur complement Geršgorin’s theorem.

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COPYRIGHT: © Global Science Press

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@Article{JICS-5-224, author = {Zhuohong Huang, Tingzhu Huang}, title = {An Improvement on Disc Separation of the Schur Complement and Bounds}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {5}, number = {3}, pages = {224--232}, abstract = { In this paper, we improve the disc separation of the Schur complement of strictly diagonally dominant matrices presented in Liu [SIAM. J. Matrix Anal. Appl., 27 (2005): 665-674]. As applications, we present some new bounds for determinants of original matrices and estimations for eigenvalues of Schur complement. By theoretical analysis, we improve the bounds of determinants established in Huang [Comput. Math. Appl., 50 (2005): 1677-1684]. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22713.html} }
TY - JOUR T1 - An Improvement on Disc Separation of the Schur Complement and Bounds AU - Zhuohong Huang, Tingzhu Huang JO - Journal of Information and Computing Science VL - 3 SP - 224 EP - 232 PY - 2024 DA - 2024/01 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22713.html KW - H-matrix KW - strictly (doubly) diagonally dominant matrix KW - Schur complement KW - Geršgorin’s theorem. AB - In this paper, we improve the disc separation of the Schur complement of strictly diagonally dominant matrices presented in Liu [SIAM. J. Matrix Anal. Appl., 27 (2005): 665-674]. As applications, we present some new bounds for determinants of original matrices and estimations for eigenvalues of Schur complement. By theoretical analysis, we improve the bounds of determinants established in Huang [Comput. Math. Appl., 50 (2005): 1677-1684].
Zhuohong Huang, Tingzhu Huang. (2024). An Improvement on Disc Separation of the Schur Complement and Bounds. Journal of Information and Computing Science. 5 (3). 224-232. doi:
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