Newton's method for overdetermined systems of equations

Newton's method for analytic systems of equations with constant rank derivatives

Journal of Complexity

A method computing multiple roots of inexact polynomials

ISSAC '03 Proceedings of the 2003 international symposium on Symbolic and algebraic computation

Newton's method with deflation for isolated singularities of polynomial systems

Theoretical Computer Science

Kantorovich's type theorems for systems of equations with constant rank derivatives

Journal of Computational and Applied Mathematics

Nearest multivariate system with given root multiplicities

Journal of Symbolic Computation

Convergence behavior of Gauss-Newton's method and extensions of the Smale point estimate theory

Journal of Complexity

Local convergence analysis of the Gauss-Newton method under a majorant condition

Journal of Complexity

On the solution of systems of equations with constant rank derivatives

Numerical Algorithms

Extending the applicability of the Gauss---Newton method under average Lipschitz---type conditions

Numerical Algorithms

Local convergence analysis of inexact Gauss-Newton like methods under majorant condition

Journal of Computational and Applied Mathematics

Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems

ACM Transactions on Mathematical Software (TOMS)

Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition

Computers & Mathematics with Applications