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System, Method, and recording medium for mirroring matrices for batched Cholesky decomposition on a graphic processing unit

机译:用于在图形处理单元上镜像矩阵以进行批量Cholesky分解的系统,方法和记录介质

摘要

A batched Cholesky decomposition method, system, and non-transitory computer readable medium for a Graphics Processing Unit (GPU), include mirroring a second problem matrix of a second problem to a first problem matrix of a first problem as paired matrices and shifting the second problem matrix by N+1 and combining the first problem matrix and the mirrored second problem matrix into one matrix of (N+1)×N by merging the first problem matrix and the mirrored second problem matrix. The first problem matrix and the second problem matrix are symmetric and positive definite matrices.
机译:用于图形处理单元(GPU)的批量Cholesky分解方法,系统和非暂时性计算机可读介质,包括将第二个问题的第二个问题矩阵镜像为第一个问题的第一个问题矩阵作为成对矩阵,并将第二个问题平移通过将第一问题矩阵和镜像的第二问题矩阵合并,将第一问题矩阵和镜像的第二问题矩阵合并为(N + 1)×N的一个矩阵,将问题矩阵N + 1。第一问题矩阵和第二问题矩阵是对称和正定矩阵。

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