Engineering applications of the Chow-Yorke algorithm
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Publication:1162344
DOI10.1016/0096-3003(81)90010-2zbMath0481.65029OpenAlexW1979416293MaRDI QIDQ1162344
Publication date: 1981
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: http://eprints.cs.vt.edu/archive/00000863/
nonlinear complementarity problemhomotopy methodsconvex optimization problemsBrouwer fixed-point problemsChow-Yorke algorithmquasi- Newton
Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical computation of solutions to systems of equations (65H10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (20)
The homotopy analysis method to solve the Burgers-Huxley equation ⋮ A novel computing multi-parametric homotopy approach for system of linear and nonlinear Fredholm integral equations ⋮ Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method ⋮ Magnetohydrodynamic flow and heat transfer about a rotating disk with suction and injection at the disk surface ⋮ Dynamical methods for polar decomposition and inversion of matrices ⋮ Finding the zeros of an analytic function ⋮ A study on the \(d\)-dimensional Schrödinger equation with a power-law nonlinearity ⋮ Application of residual correction method in calculating upper and lower approximate solutions of fifth-order boundary-value problems ⋮ Numerical solutions of highly oscillatory integrals ⋮ A study on the PDEs with power-law nonlinearity ⋮ A series solution of the foam drainage equation ⋮ Analytical solutions and efficiency of the nonlinear fin problem with temperature-dependent thermal conductivity and heat transfer coefficient ⋮ A series solution of the nonlinear Volterra and Fredholm integro-differential equations ⋮ A weighted algorithm based on the homotopy analysis method: application to inverse heat conduction problems ⋮ Globally convergent homotopy methods: A tutorial ⋮ Analytic studies and numerical simulations of the generalized Boussinesq equation ⋮ Application of homotopy perturbation method for solving eighth-order boundary value problems ⋮ Magnetohydrodynamic free convection from a disk rotating in a vertical plane ⋮ Micropolar flow past a stretching sheet ⋮ Micropolar flow past a porous stretching sheet
Cites Work
- Unnamed Item
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- Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
- Viscous flow between rotating discs with injection on the porous disc
- On the large deformations of c-shaped springs
- Fixed points of \(C^2\) maps
- A globally convergent algorithm for computing fixed points of \(C^2\) maps
- A homotopy method applied to elastica problems
- Numerical study of porous channel flow in a rotating system by a homotopy method
- The fluid-filled cylindrical membrane container
- Hanging an elastic ring
- A unified approach to complementarity in optimization
- Difference approximations for singular perturbations of systems of ordinary differential equations
- A convergent process of price adjustment and global Newton methods
- Handbook series linear algebra. Linear least squares solutions by Householder transformations
- Squeezing of a viscous fluid between elliptic plates
- Zeros of Nonlinear Functions
- Tracking nonlinear equilibrium paths by a homotopy method
- Deceleration of a rotating disk in a viscous fluid
- The Homotopy Continuation Method: Numerically Implementable Topological Procedures
- Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
- Computational experience with the Chow—Yorke algorithm
- An Algorithm That is Globally Convergent with Probability One for a Class of Nonlinear Two-Point Boundary Value Problems
- Algorithm 555: Chow-Yorke Algorithm for Fixed Points or Zeros of C 2 Maps [C5]
- Scalar labelings for homotopy paths
- Relations Between Several Path Following Algorithms and Local and Global Newton Methods
- Optimal design by a homotopy method
- Solving Finite Difference Approximations to Nonlinear Two-Point Boundary Value Problems by a Homotopy Method
- The Solution of Systems of Piecewise Linear Equations
- Methods for optimal engineering design problems based on globally convergent methods
- Equilibrium of Heavy Elastic Cylindrical Shells
- A simplicial algorithm for the nonlinear complementarity problem
- Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
- The Squeezing of a Fluid Between Two Plates
- Solving Nonstiff Ordinary Differential Equations—The State of the Art
- A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
- Quasi-Newton Methods, Motivation and Theory
- Constructive proofs of theorems relating to:F(x) = y, with applications
- An existence theorem for solutions tof(x) = 0
- On the Convergence Rate of Algorithms for Solving Equations that are Based on Methods of Complementary Pivoting
- Efficient Acceleration Techniques for Fixed Point Algorithms
- A Theorem on Homotopy Paths
- Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
- Solving the Nonlinear Complementarity Problem by a Homotopy Method
- Determining All Solutions to Certain Systems of Nonlinear Equations
- Homotopies for computation of fixed points
- On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
- The Solution of Nonlinear Systems of Equations by A-Stable Integration Techniques
- The Numerical Solution of Singular Perturbations of Boundary Value Problems
- Homotopies for computation of fixed points on unbounded regions
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