An extension of the Kreiss stability theorem to families of matrices of unbounded order

DOI10.1016/0024-3795(76)90070-7zbMath0339.65020OpenAlexW2035240667MaRDI QIDQ1231380

Michael R. Gorelick, Herbert C. Kranzer

Publication date: 1976

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(76)90070-7

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Cesàro means and the Kreiss matrix theorem ⋮ Stability estimates for families of matrices of nonuniformly bounded order ⋮ The equivalence of \(L^ q-\)stability, the resolvent condition, and strict H-stability

Cites Work

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• A Necessary and Sufficient Condition for Stability of Difference Schemes for Initial Value Problems