Parallel inexact Newton and interior point method (Q2718096)
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scientific article; zbMATH DE number 1606309
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parallel inexact Newton and interior point method |
scientific article; zbMATH DE number 1606309 |
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25 February 2002
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systems of nonlinear equations
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quasi-Newton methods
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parallel numerical methods
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inexact Newton method
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sparse and large systems of nonlinear equations
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linear least squares
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numerical tests
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nonlinear mixed complementary problems
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Parallel inexact Newton and interior point method (English)
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An inexact Newton method is combined with a block iterative row-projection linear solver in order to solve sparse and large systems of nonlinear equations. It is underlined that a mutually orthogonal row-partition of the Jacobian matrix allows a simple solution of the linear least squares sub-problems. Numerical tests concerning the usage of the new method for nonlinear problems arising from a discretization of partial differential equations are done on a parallel computer. Interior point methods are used for the solution of nonlinear mixed complementary problems, in a sequential manner.
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0.8208885788917542
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