Pengchuan Zhang

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Suppose that A ∈ RN×N is symmetric positive semidefinite with rank K ≤ N . Our goal is to decompose A into K rank-one matrices ∑K k=1 gkg T k where the modes {gk} K k=1 are required to be as sparse as possible. In contrast to eigen decomposition, these sparse modes are not required to be orthogonal. Such a problem arises in random field parametrization(More)
We propose a stochastic multiscale finite element method (StoMsFEM) to solve random elliptic partial differential equations with a high stochastic dimension. The key idea is to simultaneously upscale the stochastic solutions in the physical space for all random samples and explore the low stochastic dimensions of the stochastic solution within each local(More)
In the regional water resource management, the comprehensive evaluation of water resource is most important, which put a general situation in the regional water resource and can be used as the instruction to water resource management. Based on grey theory this paper gives a multilevel grey evaluation model and regional water resource evaluation index system(More)
In this paper, we propose an adaptive fast solver for a general class of symmetric positive definite (SPD) matrices which include the well-known graph Laplacian. We achieve this by developing an adaptive operator compression scheme and a multiresolution matrix factorization algorithm which achieve nearly optimal performance on both complexity and(More)
Abstract. Suppose that A ∈ RN×N is symmetric positive semidefinite with rank K ≤ N . Our goal is to decompose A into K rank-one matrices ∑K k=1 gkg T k where the modes {gk} K k=1 are required to be as sparse as possible. In contrast to eigendecomposition, these sparse modes are not required to be orthogonal. Such a problem arises in random field(More)
OBJECTIVE To explore the effect of the interrupted abdominal aorta compression after cardiopulmonary resuscitation (IAAC-CPR) on cardiopulmonary cerebral resuscitation in a rabbit model of cardiac arrest (CA). METHODS According to the random number table, 10 New Zealand rabbits of both genders were equally divided into the chest(More)
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