Newton's method with deflation for isolated singularities of polynomial systems
Theoretical Computer Science
An efficient algorithm for the Schrödinger-Poisson eigenvalue problem
Journal of Computational and Applied Mathematics
An interior-point affine-scaling trust-region method for semismooth equations with box constraints
Computational Optimization and Applications
An intrinsic homotopy for intersecting algebraic varieties
Journal of Complexity - Festschrift for the 70th birthday of Arnold Schönhage
Interior Medial Axis Transform computation of 3D objects bound by free-form surfaces
Computer-Aided Design
Finite Element Approximation to a Finite-Size Modified Poisson-Boltzmann Equation
Journal of Scientific Computing
Tracing the Pareto frontier in bi-objective optimization problems by ODE techniques
Numerical Algorithms
Original article: A quantitative metric for robustness of nonlinear algebraic equation solvers
Mathematics and Computers in Simulation
Accelerating the LSTRS Algorithm
SIAM Journal on Scientific Computing
Interfacing with the numerical homotopy algorithms in PHCpack
ICMS'06 Proceedings of the Second international conference on Mathematical Software
Optimal control of terrorism and global reputation: A case study with novel threshold behavior
Operations Research Letters
Automatic Fréchet Differentiation for the Numerical Solution of Boundary-Value Problems
ACM Transactions on Mathematical Software (TOMS)
Algorithm 921: alphaCertified: Certifying Solutions to Polynomial Systems
ACM Transactions on Mathematical Software (TOMS)
Computing intersection numbers of Chern classes
Journal of Symbolic Computation
Optimization and homotopy methods for the Gibbs free energy of simple magmatic mixtures
Computational Optimization and Applications
Lipschitz condition for finding real roots of a vector function
Journal of Computational Methods in Sciences and Engineering
Journal of Computational Physics
Journal of Computational Physics
A control Liapunov function approach to generalized and regularized descent methods for zero finding
International Journal of Hybrid Intelligent Systems
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From the Publisher:Introduction to Numerical Continuation Methods continues to be useful for researchers and graduate students in mathematics, sciences, engineering, economics, and business looking for an introduction to computational methods for solving a large variety of nonlinear systems of equations. A background in elementary analysis and linear algebra is adequate preparation for reading this book; some knowledge from a first course in numerical analysis may also be helpful.