Locating the closest singularity in a polynomial homotopy
From MaRDI portal
Publication:2109994
DOI10.1007/978-3-031-14788-3_19OpenAlexW4300604854MaRDI QIDQ2109994
Jan Verschelde, Kylash Viswanathan
Publication date: 21 December 2022
Full work available at URL: https://arxiv.org/abs/2205.07380
asymptotic expansionsingularityanalytic continuationRichardson extrapolationFourierpolynomial homotopyFabryquaternion Taylor series
Symbolic computation and algebraic computation (68W30) Geometric aspects of numerical algebraic geometry (14Q65)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On biunimodular vectors for unitary matrices
- Modified deflation algorithm for the solution of singular problems. I. A system of nonlinear algebraic equations
- Inflation of poorly conditioned zeros of systems of analytic functions
- On location and approximation of clusters of zeros: Case of embedding dimension one
- Sweeping algebraic curves for singular solutions
- Deformation techniques for sparse systems
- A general extrapolation algorithm
- A power series method for computing singular solutions to nonlinear analytic systems
- A blackbox polynomial system solver on parallel shared memory computers
- A new deflation method for verifying the isolated singular zeros of polynomial systems
- The method of Gauss-Newton to compute power series solutions of polynomial homotopies
- Quaternionic step derivative: machine precision differentiation of holomorphic functions using complex quaternions
- Robust numerical tracking of one path of a polynomial homotopy on parallel shared memory computers
- Mixed precision path tracking for polynomial homotopy continuation
- Newton's method with deflation for isolated singularities of polynomial systems
- On deflation and multiplicity structure
- CAMPARY: Cuda Multiple Precision Arithmetic Library and Applications
- Computing Isolated Singular Solutions of Polynomial Systems: Case of Breadth One
- Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems
- Multiple zeros of nonlinear systems
- Fast Fourier Methods in Computational Complex Analysis
- Higher Order Predictors and Adaptive Steplength Control in Path Following Algorithms
- Using Complex Variables to Estimate Derivatives of Real Functions
- Padé approximants and efficient analytic continuation of a power series
- Algorithm 795
- Fast Complexified Quaternion Fourier Transform
- A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation
- Open source computer algebra systems
- On isolation of simple multiple zeros and clusters of zeros of polynomial systems
- Quaternion Fourier Transforms for Signal and Image Processing
- Computing the multiplicity structure in solving polynomial systems
- A Graduate Introduction to Numerical Methods