Институт вычислительной математики
и математической геофизики

The International Conference on Computational Mathematics


Computational algebra

Methods of Computation of Base Matrices for Constructing Difference Approximations of Differential Algebraic Equations

Boyarintsev Y. E., Orlova I.

Institue of System Dynamics and Control Theory SB RAS (Irkutsk)

Methods of constructing difference approximations of differential algebraic equations using base matrices is proposed [1]. The following constructive methods for computing base matrices have been represented.

1) The method based on using the inverse Drasin matrices which already have techniques of computation developed.

2) The method essentially based on using uniqueness of base matrices [2].

3) The method applying the D.K.Fadeev algorithm of simultaneous computation of a characteristic polynomial and joint matrices for the case of one-parametrical pencil.

4) Methods of sweep method type.

Note. Abstracts are published in author's edition

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