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07/11/2023
A generalization of Floater–Hormann interpolants
In this paper the interpolating rational functions introduced by Floater...
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06/23/2023
An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank
An approximate projection onto the tangent cone to the variety of third-...
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02/01/2023
Algorithms for Modifying Recurrence Relations of Orthogonal Polynomial and Rational Functions when Changing the Discrete Inner Product
Often, polynomials or rational functions, orthogonal for a particular in...
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04/12/2022
Adaptive cross approximation for Tikhonov regularization in general form
Many problems in Science and Engineering give rise to linear integral eq...
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03/08/2021
Generation of orthogonal rational functions by procedures for structured matrices
The problem of computing recurrence coefficients of sequences of rationa...
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03/21/2020
Backward Error Measures for Roots of Polynomials
We analyze different measures for the backward error of a set of numeric...
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02/21/2020
Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers
We consider the problem of tracking one solution path defined by a polyn...
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01/15/2020
Min-Max Elementwise Backward Error for Roots of Polynomials and a Corresponding Backward Stable Root Finder
A new measure called min-max elementwise backward error is introduced fo...
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09/11/2019
A Robust Numerical Path Tracking Algorithm for Polynomial Homotopy Continuation
We propose a new algorithm for numerical path tracking in polynomial hom...
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02/11/2019
Equivalent Polyadic Decompositions of Matrix Multiplication Tensors
Invariance transformations of polyadic decompositions of matrix multipli...
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03/21/2018
Truncated Normal Forms for Solving Polynomial Systems: Generalized and Efficient Algorithms
We consider the problem of finding the isolated common roots of a set of...
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03/21/2018
Solving Polynomial Systems Efficiently and Accurately
We consider the problem of finding the isolated common roots of a set of...
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03/21/2018
Solving Polynomial System Efficiently and Accurately
We consider the problem of finding the isolated common roots of a set of...
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08/25/2017