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On Ostrowski's disk theorem and lower bounds for the smallest eigenvalues and singular values.
- Source :
-
Journal of Mathematical Sciences . Jul2011, Vol. 176 Issue 1, p68-77. 10p. - Publication Year :
- 2011
-
Abstract
- The paper refines the classical Ostrowski disk theorem and suggests lower bounds for the smallest-in-modulus eigenvalue and the smallest singular value of a square matrix under certain diagonal dominance conditions. A lower bound for the smallest-in-modulus eigenvalue of a product of m ≥ 2 matrices satisfying joint diagonal dominance conditions is obtained. The particular cases of the bounds suggested that correspond to the infinity norm are discussed separately and compared with some known results. Bibliography: 8 titles. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 176
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 61191374
- Full Text :
- https://doi.org/10.1007/s10958-011-0394-7