Matrix properties
number of rows	589,446
number of columns	589,446
nonzeros	21,758,924
structural full rank?	yes
structural rank	589,446
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	symmetric
type	real
structure	symmetric
Cholesky candidate?	no
positive definite?	no

author	A. Dziekonski, A. Lamecki, M. Mrozowski
editor	T. Davis
date	2010
kind	electromagnetics problem
2D/3D problem?	yes

Additional fields	size and type
b	full 589446-by-1

Notes:

High order vector finite element method in electromagnetics     
                                                                
The matrices came from analysis of a 9-th order microwave       
combline filter with second order (LT\QN) vector finite elements
with different mesh quality. The matrices were used as an       
example in our paper [1].                                       
                                                                
gsm_106857 - real symmetric matrix (589446 x 589446) and        
    21758924 nonzero elements. First 98577 unknowns corresponds 
    to lowest level (CT\LN) base functions.                     
                                                                
All matrices are sparse and come with right-hand-sides.         
                                                                
[1] GPU Acceleration of Multilevel Solvers for Analysis of      
Microwave Components with Finite Element Method, A. Dziekonski, 
A. Lamecki, A., and M. Mrozowski, M., IEEE Microwave and        
Wireless Components Letters, vol 20, number 12,                 
Dec 2010.  http://dx.doi.org/10.1109/LMWC.2010.2089974          

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	184,098,449
Cholesky flop count	1.9e+11
nnz(L+U), no partial pivoting, with AMD	367,607,452
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	433,129,917
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	1,001,317,649

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

Maintained by Tim Davis, last updated 12-Mar-2014.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.