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There are several approaches for computing the inverse of a dense square matrix, say A, namely Gaussian elimination, block wise inversion, and LU factorization (LUF). The latter is used in mathematical software libraries such as SCALAPACK, PBLAS and MATLAB. The inversion routine in SCALAPACK library (called PDGETRI) consists, once the two factors L and U are known (where ALU), in first inverting U...
GPU-accelerated computing consists in using a graphics processing unit (GPU) together with a CPU in order to enhance the performance of scientific and engineering applications. With the increasing spread of GPUs as hardware accelerators for scientific applications, several optimized linear algebra libraries have emerged to make use of this additional computing power. In this paper we present an implementation...
We address in this paper the parallelization of a recursive algorithm for large scale triangular matrix inversion based on the ‘Divide and Conquer’ (D&C) paradigm. A set of different versions of an original sequential algorithm are first presented. A theoretical performance study permits to establish an accurate comparison between the designed algorithms. Afterwards, we develop in the second...
We address in this paper the parallelization of a recursive algorithm for triangular matrix inversion (TMI) based on the ‘Divide and Conquer’ (D&C) paradigm. A series of different versions of an original sequential algorithm are first presented. A theoretical performance study permits to establish an accurate comparison between the designed algorithms. Afterwards, we develop an optimal parallel...
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