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math.NA2021
The decompositions and positive semidefiniteness of fourth-order conjugate partial-symmetric tensors with applications
Pengfei Huang, Qingzhi Yang
Conjugate partial-symmetric (CPS) tensor is a generalization of Hermitian matrices. For the CPS tensor decomposition some properties are presented. For real CPS tensors in particul…
math.AG2021
Moduli spaces of parabolic bundles over with five marked points
Zhi Hu, Pengfei Huang, Runhong Zong
This paper considers the moduli spaces/stacks of parabolic bundles (parabolic logarithmic flat bundles and parabolic logarithmic Higgs bundles with given spectrum) of rank 2 and de…
math.NA2021
Newton-based methods for finding the positive ground state of Gross-Pitaevskii equations
Pengfei Huang, Qingzhi Yang
The discretization of Gross-Pitaevskii equations (GPE) leads to a nonlinear eigenvalue problem with eigenvector nonlinearity (NEPv). In this paper, we use two Newton-based methods…