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- Sparse_matrix abstract "In the subfield of numerical analysis, a sparse matrix is a matrix populated primarily with zeros (Stoer & Bulirsch 2002, p. 619) as elements of the table. By contrast, if a larger number of elements differ from zero, then it is common to refer to the matrix as a dense matrix.The fraction of zero elements (non-zero elements) in a matrix is called the sparsity (density).Conceptually, sparsity corresponds to systems which are loosely coupled. Consider a line of balls connected by springs from one to the next; this is a sparse system. By contrast, if the same line of balls had springs connecting each ball to all other balls, the system would be represented by a dense matrix. The concept of sparsity is useful in combinatorics and application areas such as network theory, which have a low density of significant data or connections.Huge sparse matrices often appear in science or engineering when solving partial differential equations.When storing and manipulating sparse matrices on a computer, it is beneficial and often necessary to use specialized algorithms and data structures that take advantage of the sparse structure of the matrix. Operations using standard dense-matrix structures and algorithms are relatively slow and consume large amounts of memory when applied to large sparse matrices. Sparse data is by nature easily compressed, and this compression almost always results in significantly less computer data storage usage. Indeed, some very large sparse matrices are infeasible to manipulate using standard dense algorithms.".
- Sparse_matrix thumbnail Finite_element_sparse_matrix.png?width=300.
- Sparse_matrix wikiPageExternalLink gilbert91sparse.html.
- Sparse_matrix wikiPageExternalLink scipy.sparse.coo_matrix.html.
- Sparse_matrix wikiPageExternalLink scipy.sparse.csc_matrix.html.
- Sparse_matrix wikiPageExternalLink scipy.sparse.csr_matrix.html.
- Sparse_matrix wikiPageExternalLink scipy.sparse.dok_matrix.html.
- Sparse_matrix wikiPageExternalLink scipy.sparse.lil_matrix.html.
- Sparse_matrix wikiPageExternalLink SECTION00931100000000000000.
- Sparse_matrix wikiPageExternalLink SECTION00931200000000000000.
- Sparse_matrix wikiPageExternalLink citation.cfm?id=355707.
- Sparse_matrix wikiPageExternalLink 107467.
- Sparse_matrix wikiPageExternalLink sparse.
- Sparse_matrix wikiPageExternalLink pub0034.pdf.
- Sparse_matrix wikiPageExternalLink www.small-project.eu.
- Sparse_matrix wikiPageExternalLink www.solvingequations.net.
- Sparse_matrix wikiPageID "341015".
- Sparse_matrix wikiPageRevisionID "597834343".
- Sparse_matrix hasPhotoCollection Sparse_matrix.
- Sparse_matrix subject Category:Sparse_matrices.
- Sparse_matrix type Abstraction100002137.
- Sparse_matrix type Arrangement107938773.
- Sparse_matrix type Array107939382.
- Sparse_matrix type Group100031264.
- Sparse_matrix type Matrix108267640.
- Sparse_matrix type SparseMatrices.
- Sparse_matrix comment "In the subfield of numerical analysis, a sparse matrix is a matrix populated primarily with zeros (Stoer & Bulirsch 2002, p. 619) as elements of the table. By contrast, if a larger number of elements differ from zero, then it is common to refer to the matrix as a dense matrix.The fraction of zero elements (non-zero elements) in a matrix is called the sparsity (density).Conceptually, sparsity corresponds to systems which are loosely coupled.".
- Sparse_matrix label "Dünnbesetzte Matrix".
- Sparse_matrix label "IJle matrix".
- Sparse_matrix label "Macierz rzadka".
- Sparse_matrix label "Matrice creuse".
- Sparse_matrix label "Matrice sparsa".
- Sparse_matrix label "Matriz dispersa".
- Sparse_matrix label "Matriz esparsa".
- Sparse_matrix label "Sparse matrix".
- Sparse_matrix label "Разреженная матрица".
- Sparse_matrix label "疎行列".
- Sparse_matrix label "稀疏矩阵".
- Sparse_matrix sameAs Řídká_matice.
- Sparse_matrix sameAs Dünnbesetzte_Matrix.
- Sparse_matrix sameAs Matriz_dispersa.
- Sparse_matrix sameAs Matrice_creuse.
- Sparse_matrix sameAs Matrice_sparsa.
- Sparse_matrix sameAs 疎行列.
- Sparse_matrix sameAs 희소행렬.
- Sparse_matrix sameAs IJle_matrix.
- Sparse_matrix sameAs Macierz_rzadka.
- Sparse_matrix sameAs Matriz_esparsa.
- Sparse_matrix sameAs m.01y1_l.
- Sparse_matrix sameAs Q1050404.
- Sparse_matrix sameAs Q1050404.
- Sparse_matrix sameAs Sparse_matrix.
- Sparse_matrix wasDerivedFrom Sparse_matrix?oldid=597834343.
- Sparse_matrix depiction Finite_element_sparse_matrix.png.
- Sparse_matrix isPrimaryTopicOf Sparse_matrix.
