We present optimal parallel QR factorization algorithms with reduced communication overhead. QR factorization is widely applied to solve various problems in numerical linear algebra. Our focus is on ...
The current implementation of the MOZART LU decomposition scheme accepts separate A, L, and U matrices. Add an LU decomposition option that can be used with the Backward Euler solver that does an ...
We want to implement the CAM-chem algorithm for LU decomposition in MICM, and evaluate its performance against the Fortran version later. C++ decomposition classes can use the CAM-chem algorithm for ...
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LU Matrix Factorization
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Abstract: We propose a new algorithm to improve the strong scalability of right-looking sparse LU factorization on distributed memory systems. Our 3D sparse LU algorithm uses a three-dimensional MPI ...
ABSTRACT: We propose a quantum version of Tic-Tac-Toe which accurately reflects the inherent probabilistic nature of the measurement principle in quantum mechanics. We then formulate a quantum ...
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