NITSOL : A Newton iterative solver for nonlinear systems
We introduce a well-developed Newton iterative (truncated Newton) algorithm for solving large-scale nonlinear systems. The framework is an inexact Newton method globalized by backtracking. Trial steps are obtained using one of several Krylov subspace methods. The algorithm is implemented in a Fortra...
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| Veröffentlicht in: | SIAM journal on scientific computing 1998-01, Vol.19 (1), p.302-318 |
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| container_title | SIAM journal on scientific computing |
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| creator | PERNICE, M WALKER, H. F |
| description | We introduce a well-developed Newton iterative (truncated Newton) algorithm for solving large-scale nonlinear systems. The framework is an inexact Newton method globalized by backtracking. Trial steps are obtained using one of several Krylov subspace methods. The algorithm is implemented in a Fortran solver called NITSOL that is robust yet easy to use and provides a number of useful options and features. The structure offers the user great flexibility in addressing problem specificity through preconditioning and other means and allows easy adaptation to parallel environments. Features and capabilities are illustrated in numerical experiments. |
| doi_str_mv | 10.1137/S1064827596303843 |
| format | Article |
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F</au><aucorp>Front Range Scientific Computations, Inc., Lakewood, CO (United States)</aucorp><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>NITSOL : A Newton iterative solver for nonlinear systems</atitle><jtitle>SIAM journal on scientific computing</jtitle><date>1998-01-01</date><risdate>1998</risdate><volume>19</volume><issue>1</issue><spage>302</spage><epage>318</epage><pages>302-318</pages><issn>1064-8275</issn><eissn>1095-7197</eissn><coden>SJOCE3</coden><abstract>We introduce a well-developed Newton iterative (truncated Newton) algorithm for solving large-scale nonlinear systems. The framework is an inexact Newton method globalized by backtracking. Trial steps are obtained using one of several Krylov subspace methods. The algorithm is implemented in a Fortran solver called NITSOL that is robust yet easy to use and provides a number of useful options and features. 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| identifier | ISSN: 1064-8275 |
| ispartof | SIAM journal on scientific computing, 1998-01, Vol.19 (1), p.302-318 |
| issn | 1064-8275 1095-7197 |
| language | eng |
| recordid | cdi_osti_scitechconnect_433349 |
| source | SIAM Journals |
| subjects | ALGEBRA ALGORITHMS DESIGN Exact sciences and technology Flows through porous media Fluid dynamics Fundamental areas of phenomenology (including applications) Globalization ITERATIVE METHODS Linear algebra Mathematics MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS Methods NEWTON METHOD Nonhomogeneous flows Nonlinear algebraic and transcendental equations NONLINEAR PROBLEMS Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Partial differential equations, boundary value problems Physics Sciences and techniques of general use |
| title | NITSOL : A Newton iterative solver for nonlinear systems |
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