Publications in Scientific Journals:
W. Auzinger, G. Kirlinger:
"Kreiss resolvent conditions and strengthened Cauchy-Schwarz inequalities";
Applied Numerical Mathematics,
18
(1995),
57
- 67.
English abstract:
In the present paper it is shown how the resolvent conditions in the Kreiss Matrix Theorem for e^{tA} and A^\nu, respectively, can be reformulated as certain Strengthened Cauchy-Schwarz Inequalities (SCSIs) to be satisfied for all pairs w, Aw (w \in \C^n).This yields certain generalizations of the notions `logarithmic norm' and `numerical radius', respectively.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/0168-9274(95)00043-T
Electronic version of the publication:
http://www.math.tuwien.ac.at/~winfried/papers/rc.pdf
Created from the Publication Database of the Vienna University of Technology.