The weighted logarithmic matrix norm and bounds of the matrix exponential
- Hu, Guang-Da
- Liu, Mingzhu
Publication date
October 2004
DOI Publisher
Elsevier Inc. ISSN
0024-3795 Citation count (estimate)
19Abstract
AbstractIn this note the weighted logarithmic matrix norm is defined. The weighted logarithmic matrix norm is less than or equal to 2-logarithmic matrix norm. The bounds of the matrix exponential are obtained using the weighted logarithmic norm, which are sharper than those based on the 2-logarithmic matrix norm. Numerical examples are given to illustrate the results of the note
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