3.2.2.3. Alternative Min Degree Numberer

This command is used to construct an AMD degree-of-freedom numbering object to provide the mapping between the degrees-of-freedom at the nodes and the equation numbers. An AMD numberer uses the approximate minimum degree scheme to order the matrix equations. The command to construct an AMD numberer is a follows:

numberer AMD

Example

The following example shows how to construct an alternative min-degree numberer.

  1. Tcl Code

numberer AMD

  1. Python Code

numberer('AMD')

Code developed by: fmk

[REFERENCES]

Algorithm 837: AMD, An approximate minimum degree ordering algorithm, P. Amestoy, T. A. Davis, and I. S. Duff, ACM Transactions on Mathematical Software, vol 30, no. 3, Sept. 2004, pp. 381-388.

An approximate minimum degree ordering algorithm, P. Amestoy, T. A. Davis, and I. S. Duff, SIAM Journal on Matrix Analysis and Applications, vol 17, no. 4, pp. 886-905, Dec. 1996.

Direct Methods for Sparse Linear Systems, T. A. Davis, SIAM, Philadelphia, Sept. 2006. Part of the SIAM Book Series on the Fundamentals of Algorithms.