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math.NA2026
The Sharp Worst-Case Asymptotic Rate of the Barzilai--Borwein Method in and Hilbert Spaces
Shutai Yang, Ya-Xiang Yuan
We establish sharp asymptotic rates for the two Barzilai--Borwein (BB) rules on uniformly positive quadratics and local nonlinear problems. In finite dimensions, for either fixed r…
math.NA2022
Generalized truncated moment problems with unbounded sets
Lei Huang, Jiawang Nie, Ya-Xiang Yuan
This paper studies generalized truncated moment problems with unbounded sets. First, we study geometric properties of the truncated moment cone and its dual cone of nonnegative pol…