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A new method of description of three-particle Coulombic systems
three-body atomic systems hyperspherical functions
2011/3/2
We present a method for treatment of three charged particles. The proposed method has universal character and is applicable both for bound and continuum states. A finite rank approximation is used for...
Extensions of Dirac Chord Method with Quasi-Probability Distributions
Extensions Dirac Chord Method
2011/1/4
Dirac chord method may be used in many areas of physics for calculation of specific six-dimensional integrals for a convex body using probability density of chord length distribution. Attempts to appl...
An Inverse Power Method for Nonlinear Eigenproblems with Applications in 1-Spectral Clustering and Sparse PCA
Inverse Power Method Nonlinear Eigenproblems
2011/1/4
Many problems in machine learning and statistics can be formulated as (generalized) eigenproblems. In terms of the associated optimization problem, computing linear eigenvectors amounts to finding cri...