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Fast construction of hierarchical matrix representation from matrix–vector multiplication
Fast algorithm Hierarchical matrix construction Randomized singular value decomposition Matrix–vector multiplication Elliptic operator Green’s function
2015/7/14
We develop a hierarchical matrix construction algorithm using matrix–vector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorithm uses Oelog nT appl...
Vector bundles on elliptic curves and factors of automorphy
elliptic curves factors of automorphy
2010/12/8
We translate the Atiyah’s results on classification of vector bundles on elliptic curves to the language of factors of automorphy.