Two counterexamples related to the Kreiss matrix theorem
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Publication:1343045
DOI10.1007/BF01935020zbMath0842.15013OpenAlexW2042032163WikidataQ124807420 ScholiaQ124807420MaRDI QIDQ1343045
Publication date: 11 August 1996
Published in: BIT (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01935020
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Iterative numerical methods for linear systems (65F10)
Related Items
About the sharpness of the stability estimates in the Kreiss matrix theorem, Kreiss resolvent conditions and strengthened Cauchy-Schwarz inequalities, Numerical stability, resolvent conditions and delay differential equations, Stability estimates for families of matrices of nonuniformly bounded order, Sublinear dimension growth in the Kreiss Matrix Theorem, Sharp growth rates for semigroups using resolvent bounds, The sharpness of stability estimates corresponding to a general resolvent condition, Continuous-time Kreiss resolvent condition on infinite-dimensional spaces, Resolvent conditions and bounds on the powers of matrices, with relevance to numerical stability of initial value problems, Bounds for exponentially stable semigroups, A note about ritt's condition, related resolvent conditions and power bounded operators
Cites Work
- Semigroups of linear operators and applications to partial differential equations
- The equivalence of \(L^ q-\)stability, the resolvent condition, and strict H-stability
- On the resolvent condition in the Kreiss matrix theorem
- Über Matrizen die beschränkte Halbgruppen erzeugen.
- Über Die Stabilitätsdefinition Für Differenzengleichungen Die Partielle Differentialgleichungen Approximieren
- On the norm of a finite boolean algebra of projections, and applications to theorems of Kreiss and Morton
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