The center and cyclicity problems: A computational algebra approach

Front Matter....Pages -
On Polynomial Solutions of Linear Partial Differential and ( q -)Difference Equations....Pages 1-11
An Algebraic Characterization of Rainbow Connectivity....Pages 12-21
Application of the Method of Asymptotic Solution to One Multi-Parameter Problem....Pages 22-33
A New Algorithm for Long Integer Cube Computation with Some Insight into Higher Powers....Pages 34-46
Lightweight Abstraction for Mathematical Computation in Java....Pages 47-59
Calculation of Normal Forms of the Euler–Poisson Equations....Pages 60-71
Stability of Equilibrium Positions in the Spatial Circular Restricted Four-Body Problem....Pages 72-83
Computing Hopf Bifurcations in Chemical Reaction Networks Using Reaction Coordinates....Pages 84-97
Comprehensive Involutive Systems....Pages 98-116
A Polynomial-Time Algorithm for the Jacobson Form of a Matrix of Ore Polynomials....Pages 117-128
The Resonant Center Problem for a 2:-3 Resonant Cubic Lotka–Volterra System....Pages 129-142
Complexity of Solving Systems with Few Independent Monomials and Applications to Mass-Action Kinetics....Pages 143-154
Symbolic-Numerical Calculations of High-| m | Rydberg States and Decay Rates in Strong Magnetic Fields....Pages 155-171
Quasi-stability versus Genericity....Pages 172-184
Invariant Theory: Applications and Computations....Pages 185-185
Local Generic Position for Root Isolation of Zero-Dimensional Triangular Polynomial Systems....Pages 186-197
On Fulton’s Algorithm for Computing Intersection Multiplicities....Pages 198-211
A Note on the Space Complexity of Fast D-Finite Function Evaluation....Pages 212-223
Inversion Modulo Zero-Dimensional Regular Chains....Pages 224-235
Sparse Polynomial Powering Using Heaps....Pages 236-247
Stability Conditions of Monomial Bases and Comprehensive Gröbner Systems....Pages 248-259
Parallel Reduction of Matrices in Gröbner Bases Computations....Pages 260-270
Real and Complex Polynomial Root-Finding by Means of Eigen-Solving....Pages 271-282
Root-Refining for a Polynomial Equation....Pages 283-293
PoCaB: A Software Infrastructure to Explore Algebraic Methods for Bio-chemical Reaction Networks....Pages 294-307
Approximately Singular Systems and Ill-Conditioned Polynomial Systems....Pages 308-320
Symbolic-Numeric Implementation of the Method of Collocations and Least Squares for 3D Navier–Stokes Equations....Pages 321-333
Verifiable Conditions on Asymptotic Stabilisability for a Class of Planar Switched Linear Systems....Pages 334-348
Improving Angular Speed Uniformity by Optimal C 0 Piecewise Reparameterization....Pages 349-360
Usage of Modular Techniques for Efficient Computation of Ideal Operations....Pages 361-362
Back Matter....Pages -