Disc Separation of the Schur Complement of Diagonally Dominant Matrices and Determinantal Bounds
نویسندگان
چکیده
We consider the Geršgorin disc separation from the origin for (doubly) diagonally dominant matrices and their Schur complements, showing that the separation of the Schur complement of a (doubly) diagonally dominant matrix is greater than that of the original grand matrix. As application we discuss the localization of eigenvalues and present some upper and lower bounds for the determinant of diagonally dominant matrices.
منابع مشابه
An Improvement on Disc Separation of the Schur Complement and Bounds for Determinants of Diagonally Dominant Matrices
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...
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ورودعنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 27 شماره
صفحات -
تاریخ انتشار 2005