Outer inverses and multi body system simulation

DOI10.1080/01630569608816717zbMath0879.65048OpenAlexW2132435839MaRDI QIDQ4354825

Florian A. Potra, Dan I. Coroian, M. Zuhair Nashed, Mihai Anitescu

Publication date: 7 January 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816717

zbMATH Keywords

Euler-Lagrange equationsnumerical examplesmulti-body dynamicsouter inversesNewton-type iterative methodsoverdetermined differential-algebraic equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) (n)-body problems (70F10)

Related Items

Local convergence theorems of Newton's method for nonlinear equations using outer or generalized inverses, The Representation and Computational Procedures for the Generalized Inverse of an OperatorAin Hilbert Spaces, A note on the perturbation of an outer inverse

Cites Work

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• Numerical solution of differential-algebraic equations for constrained mechanical motion
• ODAE methods for the numerical solution of Euler-Lagrange equations
• Convergence of Newton-like methods for singular operator equations using outer inverses
• Inner, outer, and generalized inverses in banach and hilbert spaces
• Implementation of Linear Multistep Methods for Solving Constrained Equations of Motion