CCOLAMD: constrained column approximate minimum degree ordering
Copyright (C) 2005-2016, Univ. of Florida. Authors: Timothy A. Davis,
Sivasankaran Rajamanickam, and Stefan Larimore. Closely based on COLAMD by
Davis, Stefan Larimore, in collaboration with Esmond Ng, and John Gilbert.
http://www.suitesparse.com
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The CCOLAMD column approximate minimum degree ordering algorithm computes
a permutation vector P such that the LU factorization of A (:,P)
tends to be sparser than that of A. The Cholesky factorization of
(A (:,P))'*(A (:,P)) will also tend to be sparser than that of A'*A.
CSYMAMD is a symmetric minimum degree ordering method based on CCOLAMD, also
available as a MATLAB-callable function. It constructs a matrix M such
that M'*M has the same pattern as A, and then uses CCOLAMD to compute a column
ordering of M.
Requires SuiteSparse_config, in the ../SuiteSparse_config directory relative to
this directory.
To compile and install the ccolamd m-files and mexFunctions, just cd to
CCOLAMD/MATLAB and type ccolamd_install in the MATLAB command window.
A short demo will run. Optionally, type ccolamd_test to run an extensive tests.
Type "make" in Unix in the CCOLAMD directory to compile the C-callable
library and to run a short demo.
Other "make" targets:
make library compiles a C-callable library containing ccolamd
make clean removes all files not in the distribution
but keeps the compiled libraries.
make distclean removes all files not in the distribution
make install installs the library in /usr/local/lib and
/usr/local/include
make uninstall uninstalls the library from /usr/local/lib and
/usr/local/include
To use ccolamd and csymamd within an application written in C, all you need are
ccolamd.c and ccolamd.h, which are the C-callable ccolamd/csymamd codes.
See ccolamd.c for more information on how to call ccolamd from a C program.
It contains a complete description of the C-interface to CCOLAMD and CSYMAMD.
See CCOLAMD/Doc/License.txt for the license.
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Related papers:
T. A. Davis and W. W. Hager, Rajamanickam, Multiple-rank updates
to a supernodal sparse Cholesky factorization, submitted.
T. A. Davis, W. W. Hager, S. Rajamanickam, and Y. Chen, CHOLMOD: a
sparse Cholesky update/downdate package, submitted. CHOLMOD's
nested dissection ordering relies on CCOLAMD and CSYMAMD to order
the matrix after graph partitioning is used to find the ordering
constraints.
T. A. Davis, J. R. Gilbert, S. Larimore, E. Ng, An approximate column
minimum degree ordering algorithm, ACM Transactions on Mathematical
Software, vol. 30, no. 3., pp. 353-376, 2004.
T. A. Davis, J. R. Gilbert, S. Larimore, E. Ng, Algorithm 836: COLAMD,
an approximate column minimum degree ordering algorithm, ACM
Transactions on Mathematical Software, vol. 30, no. 3., pp. 377-380,
2004.
"An approximate minimum degree column ordering algorithm",
S. I. Larimore, MS Thesis, Dept. of Computer and Information
Science and Engineering, University of Florida, Gainesville, FL,
1998. CISE Tech Report TR-98-016.
Approximate Deficiency for Ordering the Columns of a Matrix,
J. L. Kern, Senior Thesis, Dept. of Computer and Information
Science and Engineering, University of Florida, Gainesville, FL,
1999.
Authors: Timothy A. Davis, Sivasankaran Rajamanickam, and Stefan Larimore.
Closely based on COLAMD by Stefan I. Larimore and Timothy A. Davis,
in collaboration with John Gilbert, Xerox PARC (now at UC Santa
Barbara), and Esmong Ng, Lawrence Berkeley National Laboratory (much of
this work he did while at Oak Ridge National Laboratory).
CCOLAMD files:
Demo simple demo
Doc additional documentation (see ccolamd.c for more)
Include include file
Lib compiled C-callable library
Makefile primary Unix Makefile
MATLAB MATLAB functions
README.txt this file
Source C source code
./Demo:
ccolamd_example.c simple example
ccolamd_example.out output of colamd_example.c
ccolamd_l_example.c simple example, long integers
ccolamd_l_example.out output of colamd_l_example.c
Makefile Makefile for C demos
./Doc:
ChangeLog change log
./Include:
ccolamd.h include file
./Lib:
Makefile Makefile for C-callable library
./MATLAB:
ccolamd.m MATLAB interface for ccolamd
ccolamd_demo.m simple demo
ccolamd_install.m compile and install ccolamd and csymamd
ccolamd_make.m compile colamd2 and symamd2
ccolamdmex.c MATLAB mexFunction for ccolamd
ccolamd_test.m extensive test
ccolamdtestmex.c test function for ccolamd
Contents.m contents of the MATLAB directory
luflops.m test code
Makefile Makefile for MATLAB functions
csymamd.m MATLAB interface for csymamd
csymamdmex.c MATLAB mexFunction for csymamd
symamdtestmex.c test function for csymamd
./Source:
ccolamd.c primary source code
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