Abstract
Let A be a diagonalizable matrix; so there is an invertible matrix T and a normal matrix D̂, such that T-1AT = D̂. A sharp bound for the constant κT = ||T|| ||T-1|| is suggested. Some applications of the obtained bound are also discussed.
Original language | English |
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Pages (from-to) | 162-171 |
Number of pages | 10 |
Journal | Electronic Journal of Linear Algebra |
Volume | 27 |
DOIs | |
State | Published - 1 Jan 2014 |
Keywords
- Condition number
- Matrix
- Similarity
ASJC Scopus subject areas
- Algebra and Number Theory