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Partitioning of an Element: Difference between revisions

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'''Partitioning on an Element'' is used in a cyclical way to order the indexing of the matrix under development.  
'''Partitioning on an Element''' is used in a cyclical way to order the indexing of the matrix under development.  


In the process of [[Partitioning|partitioning]], data are supplied that partially fill the matrix. Each cycle may involve several parts, and each part involves the ''same four steps'':  
In the process of [[Partitioning|partitioning]], data are supplied that partially fill the matrix. Each cycle may involve several parts, and each part involves the ''same four steps'':  


* First cycle has only one part, and four steps  
* First cycle has only one part, and four steps.
* Second cycle may have as many as three parts, depending on the results of the first
* Second cycle may have as many as three parts, depending on the results of the first cycle.  
cycle.  
* Third cycle may have as many as nine parts.
* Third cycle may have as many as nine parts
* The nth cycle may have as many as 3<sup>n-1</sup> parts.
* The nth cycle may have as many as 3<sup>n-1</sup> parts.