By contrast, if most of the elements are non-zero, the matrix is considered dense. There is no strict definition regarding the proportion of zero-value elements for a matrix to qualify as sparse but a common criterion is that the number of non-zero elements is roughly equal to the number of rows or columns. In numerical analysis and scientific computing, a sparse matrix or sparse array is a matrix in which most of the elements are zero. ![]() The non-zero elements are shown in black. Its sparsity is 74%, and its density is 26%.Ī sparse matrix obtained when solving a finite element problem in two dimensions. ![]() ![]() The above sparse matrix contains only 9 non-zero elements, with 26 zero elements.
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