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math.NA2021
Homotopy Methods for Eigenvector-Dependent Nonlinear Eigenvalue Problems
Xuping Zhang, Haimei Huo
Eigenvector-dependent nonlinear eigenvalue problems are considered which arise from the finite difference discretizations of the Gross-Pitaevskii equation. Existence and uniqueness…
math.NA2019
The conjugate gradient method with various viewpoints
Xuping Zhang, Jiefei Yang, Ziying Liu
Connections of the conjugate gradient (CG) method with other methods in computational mathematics are surveyed, including the connections with the conjugate direction method, the s…