Iterative methods for multiple zeros of a polynomial by clustering
Journal of Computational and Applied Mathematics
A bibliography on roots of polynomials
Journal of Computational and Applied Mathematics
Remark on algorithms to find roots of polynomials
SIAM Journal on Scientific Computing
Relationships between order and efficiency of a class of methods for multiple zeros of polynomials
Proceedings of the international meeting on Linear/nonlinear iterative methods and verification of solution
Journal of Computational and Applied Mathematics
Principles for Testing Polynomial Zerofinding Programs
ACM Transactions on Mathematical Software (TOMS)
The approximate GCD of inexact polynomials
ISSAC '04 Proceedings of the 2004 international symposium on Symbolic and algebraic computation
Numerical algebraic geometry and kinematics
Proceedings of the 2007 international workshop on Symbolic-numeric computation
The approximate irreducible factorization of a univariate polynomial: revisited
Proceedings of the 2009 international symposium on Symbolic and algebraic computation
The computation of multiple roots of a polynomial
Journal of Computational and Applied Mathematics
GCD of multivariate approximate polynomials using beautification with the subtractive algorithm
Proceedings of the 2011 International Workshop on Symbolic-Numeric Computation
Pseudospectra of exponential matrix polynomials
Theoretical Computer Science
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MultRoot is a collection of Matlab modules for accurate computation of polynomial roots, especially roots with non-trivial multiplicities. As a blackbox-type software, MultRoot requires the polynomial coefficients as the only input, and outputs the computed roots, multiplicities, backward error, estimated forward error, and the structure-preserving condition number. The most significant features of MultRoot are the multiplicity identification capability and high accuracy on multiple roots without using multiprecision arithmetic, even if the polynomial coefficients are inexact. A comprehensive test suite of polynomials that are collected from the literature is included for numerical experiments and performance comparison.