An Improvement on Disc Separation of the Schur Complement and Bounds
Year: 2010
Journal of Information and Computing Science, Vol. 5 (2010), Iss. 3 : pp. 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].
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2024-JICS-22713
Journal of Information and Computing Science, Vol. 5 (2010), Iss. 3 : pp. 224–232
Published online: 2010-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9