Matrix properties
number of rows	274,087
number of columns	274,087
nonzeros	4,137,369
structural full rank?	yes
structural rank	274,087
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	98%
numeric value symmetry	65%
type	complex
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	L. Meng
editor	T. Davis
date	2015
kind	computational chemistry problem
2D/3D problem?	no

Additional fields	size and type
b	sparse 274087-by-1

Notes:

Jacobian matrix from a computational chemistry problem.            
Lingyi Meng, Collaborative Innovation Center of Chemistry for      
Energy Materials (iChem), Xiamen University, Fujian, China,        
www.2011-ichem.org.  The matrix is complex, and has a sparse       
and real right-hand-side.                                          
                                                                   
References:                                                        
Lingyi Meng, ChiYung Yam, SiuKong Koo, Quan Chen, Ngai Wong, and   
GuanHua Chen, Dynamic Multiscale Quantum Mechanics/Electromagnetics
Simulation Method, J. of Chemical Theory and Computation, 2012,    
vol 8, pp 1190-1199, dx.doi.org/10.1021/ct200859h                  
                                                                   
Lingyi Meng, Zhenyu Yin, ChiYung Yam, SiuKong Koo, Quan Chen,      
Ngai Wong, and GuanHua Chen, Frequency-domain multiscale quantum   
mechanics/electromagnetics simulation method, J. of Chemical       
Physics 139, 244111 (2013); doi: 10.1063/1.4853635                 

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	569,339,443
Cholesky flop count	4.4e+12
nnz(L+U), no partial pivoting, with AMD	1,138,404,799
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	856,657,897
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	1,510,779,718

For a description of the statistics displayed above, click here.

Maintained by Tim Davis, last updated 05-Jun-2015.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.