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math.NA2023
Forming a symmetric, unreduced, tridiagonal matrix with a given spectrum
Luca Dieci, Alessandro Pugliese
Given a set of distinct real numbers, our goal is to form a symmetric, unreduced, tridiagonal, matrix with those numbers as eigenvalues. We give an algorithm which is a stable…
math.NA2023★ 3 cited
Solving Semi-Discrete Optimal Transport Problems: star shapedeness and Newton's method
Luca Dieci, Daniyar Omarov
In this work, we propose a novel implementation of Newton's method for solving semi-discrete optimal transport (OT) problems for cost functions which are a positive combination of…