Estimates for bounds of some numerical characters of matrices
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
Original language | English |
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Pages (from-to) | 137-145 |
Journal / Publication | Linear Algebra and Its Applications |
Volume | 319 |
Issue number | 1-3 |
Online published | 25 Oct 2000 |
Publication status | Published - 1 Nov 2000 |
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Abstract
In this paper, we present some new estimates on ∑i|λi|2, where λi is an eigenvalue of a matrix, which improve Schur's inequality. By using these estimates, we provide a new criterion for nonsingularity of matrices and a monotonic iterative method for matrix 1-balancing problems. © 2000 Elsevier Science Inc.
Research Area(s)
- Eigenvalue, Matrix, Norm, Numerical character
Citation Format(s)
Estimates for bounds of some numerical characters of matrices. / Huang, Tingzhu; Li, Wen; Sun, Weiwei.
In: Linear Algebra and Its Applications, Vol. 319, No. 1-3, 01.11.2000, p. 137-145.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review