A minimal norm corrected underdetermined Gauß-Newton procedure (Q413632)
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scientific article; zbMATH DE number 6031272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A minimal norm corrected underdetermined Gauß-Newton procedure |
scientific article; zbMATH DE number 6031272 |
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A minimal norm corrected underdetermined Gauß-Newton procedure (English)
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7 May 2012
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A modified classical Gauss-Newton iteration method is presented to solve a system of equations that has a manifold of solutions. It is designed to keep the non-unique part of the solution small in some sense. The iteration scheme is developed and its convergence properties is analyzed. As an illustration, the method is applied to the integration of certain differential algebraic equations.
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nonlinear equations
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least squares solutions
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minimal norm solutions
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modified Gauss-Newton method
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differential algebraic equations
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