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Dahlquist, Germund

On matrix majorants and minorants, with applications to differential equations. (English) Zbl 0525.65051

TRITA-NA, R. Inst. Technol., Stockh. 8212, 22 p. (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0525.65051

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
15A39 Linear inequalities of matrices
15A23 Factorization of matrices
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
34A30 Linear ordinary differential equations and systems
65F05 Direct numerical methods for linear systems and matrix inversion

Keywords:

majorants; minorants; block triangular factorization; location of eigenvalues; partitioned matrices; logarithmic norm; review paper; stiff differential equations
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