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01/19/2023
Computing multiple roots of inexact polynomials
We present a combination of two algorithms that accurately calculate mul...
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03/09/2021
Multiple zeros of nonlinear systems
As an attempt to bridge between numerical analysis and algebraic geometr...
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03/08/2021
The numerical factorization of polynomials
Polynomial factorization in conventional sense is an ill-posed problem d...
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03/06/2021
The numerical greatest common divisor of univariate polynomials
This paper presents a regularization theory for numerical computation of...
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03/04/2021
Sensitivity and computation of a defective eigenvalue
A defective eigenvalue is well documented to be hypersensitive to data p...
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03/02/2021
A numerical method for computing the Jordan Canonical Form
The Jordan Canonical Form of a matrix is highly sensitive to perturbatio...
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02/19/2021
On the sensitivity of singular and ill-Conditioned linear systems
Solving a singular linear system for an individual vector solution is an...
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02/18/2021
Singular algebraic equations with empirical data
Singular equations with rank-deficient Jacobians arise frequently in alg...
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02/16/2021
Geometric modeling and regularization of algebraic problems
Discontinuity with respect to data perturbations is common in algebraic ...
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01/22/2021