Optimal homotopy methods for solving nonlinear systems. I: Nonsingular homotopy paths
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Publication:1326466
DOI10.1007/BF01385766zbMath0797.65045MaRDI QIDQ1326466
Publication date: 18 May 1994
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/133749
systems of nonlinear equationsadaptive step-size control strategydistance monotone pathoptimal homotopystraighten-up method
Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)
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Cites Work
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- Finite dimensional approximation of nonlinear problems. III: Simple bifurcation points
- A simple application of the homotopy method to symmetric eigenvalue problems
- Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\)
- Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method
- Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
- A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques
- Solving nonlinear equations by adaptive homotopy continuation
- The Computation of Symmetry-Breaking Bifurcation Points
- The Homotopy Continuation Method: Numerically Implementable Topological Procedures
- Solution Fields of Nonlinear Equations and Continuation Methods
- Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
- The numerical treatment of non-trivial bifurcation points
- A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
- A Theorem on Homotopy Paths
- Finding Zeroes of Maps: Homotopy Methods That are Constructive With Probability One
- A Unified Convergence Theory for a Class of Iterative Processes
- The Newton-Kantorovich Theorem
