A transformation to avoid solutions at infinity for polynomial systems

DOI10.1016/0096-3003(86)90029-9zbMath0597.65045OpenAlexW1983443215MaRDI QIDQ1079334

Alexander P. Morgan

Publication date: 1986

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(86)90029-9

zbMATH Keywords

solutionscontinuation methodpolynomial systemsgeometric modelingat infinity

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items

A homotopy for solving general polynomial systems that respects m- homogeneous structures, Computing all solutions to polynomial systems using homotopy continuation, Solving spline-collocation approximations to nonlinear two-point boundary-value problems by a homotopy method, Cell decomposition of almost smooth real algebraic surfaces, Bifurcations via singular value decompositions, A globally convergent parallel algorithm for zeros of polynomial systems, Canonical coordinates method for equality-constrained nonlinear optimization., Numerically computing real points on algebraic sets, Mixed cell computation in HOM4ps, Computing singular solutions to polynomial systems, A systematic framework for solving geometric constraints analytically, Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials, Globally convergent homotopy methods: A tutorial, Regeneration homotopies for solving systems of polynomials, A methodology for solving chemical equilibrium systems, Numerical algebraic geometry and algebraic kinematics, The granularity of parallel homotopy algorithms for polynomial systems of equations, Adaptive strategies for solving parameterized systems using homotopy continuation, A globally convergent method for finding zeros of smooth functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eine Methode zur Berechnung sämtlicher Lösungen von Polynomgleichungssystemen
• A Method for Computing All Solutions to Systems of Polynomials Equations
• Finding All Solutions to a System of Polynomial Equations
• An Approach to Homotopy and Degree Theory
• Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations
• On the Number of Solutions to Polynomial Systems of Equations
• Determining All Solutions to Certain Systems of Nonlinear Equations
• Finding all solutions to polynomial systems and other systems of equations