Tensor factorizations of local second-order Møller–Plesset theory
نویسندگان
چکیده
منابع مشابه
Tensor factorizations of local second-order Møller-Plesset theory.
Efficient electronic structure methods can be built around efficient tensor representations of the wavefunction. Here we first describe a general view of tensor factorization for the compact representation of electronic wavefunctions. Next, we use this language to construct a low-complexity representation of the doubles amplitudes in local second-order Møller-Plesset perturbation theory. We int...
متن کاملVisualizing Second-Order Tensor Fields
ecause scientists don't have proper tensor-display techB niques, they now visualize many physical problems incompletely in terms of vector or scalar data. Scientists could undoubtedly get new insights into these problems if they had a methodology for visualizing 3D second-order tensor fields. We present hyperstreamlines as a way of visualizing these data. Second-order tensor fields are fundamen...
متن کاملRegularized Tensor Factorizations and Higher-Order Principal Components Analysis
High-dimensional tensors or multi-way data are becoming prevalent in areas such as biomedical imaging, chemometrics, networking and bibliometrics. Traditional approaches to finding lower dimensional representations of tensor data include flattening the data and applying matrix factorizations such as principal components analysis (PCA) or employing tensor decompositions such as the CANDECOMP / P...
متن کاملFactorizations and representations of the backward second-order linear recurrences
We show the relationships between the determinants and permanents of certain tridiagonal matrices and the negatively subscripted terms of second-order linear recurrences.Also considering how to the negatively subscripted terms of second-order linear recurrences can be connected to Chebyshev polynomials by determinants of these matrices, we give factorizations and representations of these number...
متن کاملOn Satisfying Second-order Optimality Conditions Using Modiied Cholesky Factorizations
We show how a modiied Cholesky factorization can be used to nd descent pairs for unconstrained optimization satisfying conditions that guarantee the convergence of a subsequence to a point for which the second-order necessary conditions for a local optimizer hold. No pivoting is needed, so that in the large-scale case, full use can be made of sparsity.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 2011
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.3528935