On matrix majorants and minorants, with applications to differential equations

DOI10.1016/0024-3795(83)80014-7zbMath0521.65028OpenAlexW2046559445MaRDI QIDQ1055169

Germund Dahlquist

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)80014-7

zbMATH Keywords

M-matrixlogarithmic normpartitioned matrixmatrix majorants and minorantstriangular factors

Mathematics Subject Classification ID

Factorization of matrices (15A23) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (5)

On transformations of graded matrices, with applications to stiff ODE's ⋮ Grid solution of problem with unilateral constraints ⋮ Improved robust performance bounds in covariance majorant analysis ⋮ On nonlinear difference and differential equations ⋮ Some majorant robustness results for discrete-time systems

Cites Work

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• Nichtlineare Majoranten beim Verfahren der schrittweisen Näherung
• On some metrical properties of operator matrices and matrices partitioned into blocks
• Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem
• LU decomposition of M-matrices by elimination without pivoting
• On the LU factorization of M-matrices
• Recherche d'une \(M\)-matrice parmi les minorantes d'un opérateur linéaire
• Matrizielle untere Schranken linearer Abbildungen und M-Matrizen
• On the practical application of majorants for nonlinear matrix iterations
• On Logarithmic Norms
• Difference Methods for Stiff Ordinary Differential Equations

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