On the spectral abscissa and the logarithmic norm
| Autor: | A. I. Perov, I. D. Kostrub |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
General Mathematics
010102 general mathematics Mathematical analysis Matrix norm Ideal norm 02 engineering and technology 01 natural sciences Spectral abscissa 020303 mechanical engineering & transports 0203 mechanical engineering Schatten norm 0101 mathematics Logarithmic norm Condition number Operator norm Mathematics |
| Zdroj: | Mathematical Notes. 101:677-687 |
| ISSN: | 1573-8876 0001-4346 |
| DOI: | 10.1134/s0001434617030257 |
| Popis: | In this paper, both well-known and new properties of the spectral abscissa and the logarithmic norm are described. In addition to well-known formulas for the norm of a matrix and for its logarithmic norm in cubic, octahedral, spherical norms, various estimates for these quantities in an arbitrary Ho¨ lder norm are proved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|