Determining All Solutions to Certain Systems of Nonlinear Equations
From MaRDI portal
Publication:4196270
DOI10.1287/moor.4.1.1zbMath0408.90086OpenAlexW2131205703MaRDI QIDQ4196270
No author found.
Publication date: 1979
Published in: Mathematics of Operations Research (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1287/moor.4.1.1
Numerical computation of solutions to systems of equations (65H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Homotopy theory (55P99) Mathematical programming (90C99)
Related Items (33)
Computing all nonsingular solutions of cyclic-\(n\) polynomial using polyhedral homotopy continuation methods ⋮ A transformation to avoid solutions at infinity for polynomial systems ⋮ A homotopy for solving polynomial systems ⋮ Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\) ⋮ A homotopy for solving general polynomial systems that respects m- homogeneous structures ⋮ On the solutions to polynomial systems obtained by homotopy methods ⋮ PHoMpara-parallel implementation of the polyhedral homotopy continuation method for polynomial systems ⋮ On the existence of zero points ⋮ On the number of zeros of a mapping ⋮ On the global convergence of path-following methods to determine all solutions to a system of nonlinear equations ⋮ A stable solution. ⋮ Engineering applications of the Chow-Yorke algorithm ⋮ Continuation methods and condensing mappings ⋮ General equilibrium models and homotopy methods ⋮ Stable and unstable stationary trajectories ⋮ A regular value of compact deformation ⋮ Weakly coercive mappings sharing a value ⋮ Some computational methods for systems of nonlinear equations and systems of polynomial equations ⋮ Computing singular solutions to polynomial systems ⋮ Existence and computation of zeros of perturbed mappings ⋮ Compact embeddings and proper mappings ⋮ Continuous embeddings and continuation methods ⋮ A Simple Homotopy Method for Determining all Isolated Solutions to Polynomial Systems ⋮ A methodology for solving chemical equilibrium systems ⋮ Finding all solutions to polynomial systems and other systems of equations ⋮ Existence of zeros for bounded perturbations of proper mappings ⋮ Computation of all solutions to a system of polynomial equations ⋮ Solving systems of polynomial equations by bounded and real homotopy ⋮ Mappings sharing a value on finite-dimensional spaces ⋮ Open trajectories. ⋮ A compactness condition. ⋮ A second zero of a function. ⋮ A globally convergent algorithm to compute all Nash equilibria for \(n\)-person games
This page was built for publication: Determining All Solutions to Certain Systems of Nonlinear Equations
