Sparse matrix: Numerical Analysis, Matrix, Network Theory, Partial Differential Equation, Data Structure, Diagonal Matrix, Tridiagonal Matrix, Band Matrix, Cuthill–McKee Algorithm - Couverture souple

 
9786130347482: Sparse matrix: Numerical Analysis, Matrix, Network Theory, Partial Differential Equation, Data Structure, Diagonal Matrix, Tridiagonal Matrix, Band Matrix, Cuthill–McKee Algorithm

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In the subfield of numerical analysis a sparse matrix is a matrix populated primarily with zeros (Stoer & Bulirsch 2002, p. 619). The term itself was coined by Harry M. Markowitz. 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 every ball to every other ball, the system would be represented by a dense matrix. The concept of sparsity is useful in combinatorics and application areas such as network theory, of a low density of significant data or connections.

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