What Is Sparse Matrix
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What Is Sparse Matrix
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Sparse matrices are those matrices that have the majority of their elements equal to zero In other words the sparse matrix can be defined as the matrix that has a greater number of zero elements than the non zero elements A matrix is sparse if many of its coefficients are zero. The interest in sparsity arises because its exploitation can lead to enormous computational savings and because many large matrix problems that occur in practice are sparse. — Page 1, Direct Methods for Sparse Matrices, Second Edition, 2017.
What Is Sparse Matrix
What Is Sparse MatrixA sparse matrix is a special case of a matrix in which the number of zero elements is much higher than the number of non-zero elements. As a rule of thumb, if 2/3 of the total elements in a matrix are zeros, it can be called a sparse matrix. In numerical analysis and scientific computing a sparse matrix or sparse array is a matrix in which most of the elements are zero 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
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