On a Generalization of the Resolvent Condition in the Kreiss Matrix Theorem

DOI10.2307/2938669zbMath0726.15020OpenAlexW4253007401MaRDI QIDQ3348112

H. W. J. Lenferink, Marc N. Spijker

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2938669

zbMATH Keywords

rational functionresolvent conditionKreiss matrix theoremstability analysis of numerical methods

Mathematics Subject Classification ID

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) Miscellaneous inequalities involving matrices (15A45) Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items (5)

Error growth analysis via stability regions for discretizations of initial value problems ⋮ Stability estimates for families of matrices of nonuniformly bounded order ⋮ Lax-stability of fully discrete spectral methods via stability regions and pseudo-eigenvalues ⋮ Numerical ranges and stability estimates ⋮ Stability of the method of lines

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