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math.OC2024
A Trust Region Method with Regularized Barzilai-Borwein Step-Size for Large-Scale Unconstrained Optimization
Xin Xu, Congpei An
We develop a Trust Region method with Regularized Barzilai-Borwein step-size obtained in a previous paper for solving large-scale unconstrained optimization problems. Simultaneousl…
math.FA2024
The algebraic structure of hyperinterpolation class on the sphere
Congpei An, Jiashu Ran
This paper investigates the algebraic properties of the hyperinterpolation class on the unit sphere . We focus on operators derived from…
math.NA2024
Parameter choice strategies for regularized least squares approximation of noisy continuous functions on the unit circle
Congpei An, Mou Cai
This paper explores the incorporation of Tikhonov regularization into the least squares approximation scheme using trigonometric polynomials on the unit circle. This approach encom…