On linear differential-algebraic equations and linearizations (Q1902080)
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scientific article; zbMATH DE number 815827
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On linear differential-algebraic equations and linearizations |
scientific article; zbMATH DE number 815827 |
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On linear differential-algebraic equations and linearizations (English)
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7 July 1996
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The paper, which contains much precise and rigorous analytical reasoning, presents results on solvability and on the convergence of the Newton-Kantorovich method for types of differential-algebraic equations (DAEs). It begins with the necessary preliminary of linear index-1 and index-2 equations. Thereafter new results are derived for nonlinear index-2 equations and for fully implicit index-1 DAEs whose leading nullspace is allowed to vary with all its arguments.
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linearization
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convergence
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Newton Kantorovich method
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differential-algebraic equations
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linear index-1 and index-2 equations
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nonlinear index-2 equations
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