Fixed points of \(C^2\) maps
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Publication:1145469
DOI10.1016/0771-050X(79)90009-3zbMath0445.65031MaRDI QIDQ1145469
Publication date: 1979
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
algorithmfixed pointsnumerical resultslarge sparse problemsconvergence proofsC2 mapscomputational efficiency, accuracy, and robustnessFORTRAN subroutines
Analysis of algorithms and problem complexity (68Q25) Numerical computation of solutions to systems of equations (65H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Software, source code, etc. for problems pertaining to numerical analysis (65-04)
Related Items (5)
Tracing structural optima as a function of available resources by a homotopy method ⋮ Numerical study of porous channel flow in a rotating system by a homotopy method ⋮ Engineering applications of the Chow-Yorke algorithm ⋮ Tracking nonlinear equilibrium paths by a homotopy method ⋮ Globally convergent homotopy methods: A tutorial
Cites Work
- A globally convergent algorithm for computing fixed points of \(C^2\) maps
- Handbook series linear algebra. Linear least squares solutions by Householder transformations
- Zeros of Nonlinear Functions
- Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
- A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
- Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
- Homotopies for computation of fixed points
- The Solution of Nonlinear Systems of Equations by A-Stable Integration Techniques
- Homotopies for computation of fixed points on unbounded regions
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