Portal de Periódicos da CAPES

On matrix majorants and minorants, with applications to differential equations

1983; Elsevier BV; Volume: 52-53; Linguagem: Inglês

10.1016/0024-3795(83)80014-7

1873-1856

Germund Dahlquist,

Electromagnetic Simulation and Numerical Methods

Some tools of linear algebra are collected and developed for potential use in the analysis of stiff differential equations. Bounds for the triangular factors of a large matrix are given in terms of the triangular factors of an associated "minorant" matrix of lower order. Minorants are also used to produce estimates of solutions of systems of ordinary differential equations, which may be sharper than those obtained by the use of logarithmic norms.