Sparse matrix techniquesA two-dimensional advection–diffusion–chemistry module of a large-scale environmental model is taken. The module is described mathematically by a system of partial differential equations. Sequential splitting is used in the numerical treatment. The non-linear chemistry is most ...
C++ implementation of sparse matrix usingCRS format. Usage Creation SparseMatrix comes as a template class, so we have to specify the element type. SparseMatrix::SparseMatrix<int>matrix(3);//3×3 matrix of integersSparseMatrix::SparseMatrix<int>matrix2(4,5);//4×5 matrix - 4 rows, 5 ...
1 概述 稀疏线性方程组的求解是自然科学中许多实际问题求解 的关键技术.稀疏线性方程组求解中的核心计算子程序是稀 疏矩阵向量乘(Sparse Matrix Vector Multiply, SMVM),其运行 时间往往占到方程组求解的 90%以上.由于矩阵 A 是高度稀 疏的,在基于 cache 架构的通用处理器 (General Purpose Processor, GPP)上求...
sparseMatrixStats The goal ofsparseMatrixStatsis to make the API ofmatrixStatsavailable for sparse matrices. Installation You can install the release version ofsparseMatrixStatsfrom BioConductor: if(!requireNamespace("BiocManager",quietly=TRUE)) install.packages("BiocManager")BiocManager::install("sparseMa...
matrix completion problemclique treenumerical resultsIn Part I of this series of articles, we introduced a general framework of exploiting the aggregate sparsity pattern over all data matrices of large scale and sparse semidefinite programs (SDPs) when solving them by primal-dual interior-point ...
sizeonlytakes1.4s,24timesfasterthantheCPUimplementation,thiscanmeetthedemandof practicalapplicationinrealtimeproperty. Keywords GraphicprocessingunitComputeunifieddevicearchitectureCompressedsensingReconstructionSparsemagneticreso nance(MRI) 0引言 磁共振成像已成为临床医学影像检查的重要手段之一。然 而,由于K空间信号采集...
The sparse matrix representations provided in the Matrix package enable a fast implementation. To gain speed, we make use of analytic inverses of the working correlation when possible and a trick to find quick numeric inverses when an analytic inverse is not available. Through three examples, we ...
Taking CNN as an example, it can take advantages of the nature of algorithmic parallelism in the following aspects [103]: (i) theconvolution operationof ann×nmatrix using ak×kkernel can be in parallel; (ii) the subsampling/pooling operation can be parallelized by executing different pooling ...
Concurrent Number Cruncher : An Efficient Sparse Linear Solver on the GPU A wide class of geometry processing and PDE resolution methods needs to solve a linear system, where the non-zero pattern of the matrix is dictated by the connectivity matrix of the mesh. The advent of GPUs with their...
A sparse matrix implementation of Whittaker-Eilers smoothing and interpolation - AnBowell/whittaker-eilers