Abstract
For a nondefective matrix A ∈ Cn×n, the known inequalities |λk|/χ \ ̌ σk \ ̌ |λk|χ express a bound on the possible ratio between the kth singular value σk of A and its kth eigenvalue λk, based only on the condition number χ of the associated eigenvector matrix. We obtain and analyse several refinements to this bound.
Original language | English |
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Pages (from-to) | 227-248 |
Number of pages | 22 |
Journal | Linear Algebra and Its Applications |
Volume | 149 |
Issue number | C |
DOIs | |
State | Published - 15 Apr 1991 |
Externally published | Yes |
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics