Matches in DBpedia 2016-04 for { <http://wikidata.dbpedia.org/resource/Q7619072> ?p ?o }
Showing triples 1 to 23 of
23
with 100 triples per page.
- Q7619072 subject Q6975251.
- Q7619072 subject Q8269001.
- Q7619072 abstract "In numerical analysis, Stone's method, also known as the strongly implicit procedure or SIP, is an algorithm for solving a sparse linear system of equations. The method uses an incomplete LU decomposition, which approximates the exact LU decomposition, to get an iterative solution of the problem. The method is named after Herbert L. Stone, who proposed it in 1968.The LU decomposition is an excellent general purpose linear equation solver. The biggest disadvantage is that it fails to take advantage of coefficient matrix to be a sparse matrix. The LU decomposition of a sparse matrix is usually not sparse, thus, for large system of equations, LU decomposition may require a prohibitive amount of memory and number of arithmetical operations.In the preconditioned iterative methods, if the preconditioner matrix M is a good approximation of coefficient matrix A then the convergence is faster. This brings us to idea of using approximate factorization LU of A as the iteration matrix M.A version of incomplete lower-upper decomposition method was proposed by H. L. Stone in 1968. This method is designed for equation system arising from discretisation of partial differential equations and was firstly used for a pentadiagonal system of equation obtained while solving an elliptic partial differential equation in a two dimensional space by a finite difference method. The LU approximate decomposition was looked in the same pentadiagonal form as the original matrix (three diagonal for L and three diagonals for U) as the best match of the seven possible equations for the five unknowns for the each row of the matrix.".
- Q7619072 wikiPageWikiLink Q1050404.
- Q7619072 wikiPageWikiLink Q10774201.
- Q7619072 wikiPageWikiLink Q11203.
- Q7619072 wikiPageWikiLink Q11216.
- Q7619072 wikiPageWikiLink Q1654069.
- Q7619072 wikiPageWikiLink Q1754327.
- Q7619072 wikiPageWikiLink Q2068418.
- Q7619072 wikiPageWikiLink Q222032.
- Q7619072 wikiPageWikiLink Q2321565.
- Q7619072 wikiPageWikiLink Q271977.
- Q7619072 wikiPageWikiLink Q272683.
- Q7619072 wikiPageWikiLink Q427625.
- Q7619072 wikiPageWikiLink Q5295.
- Q7619072 wikiPageWikiLink Q6975251.
- Q7619072 wikiPageWikiLink Q7164949.
- Q7619072 wikiPageWikiLink Q8269001.
- Q7619072 wikiPageWikiLink Q833089.
- Q7619072 wikiPageWikiLink Q8366.
- Q7619072 comment "In numerical analysis, Stone's method, also known as the strongly implicit procedure or SIP, is an algorithm for solving a sparse linear system of equations. The method uses an incomplete LU decomposition, which approximates the exact LU decomposition, to get an iterative solution of the problem. The method is named after Herbert L. Stone, who proposed it in 1968.The LU decomposition is an excellent general purpose linear equation solver.".
- Q7619072 label "Stone method".