Matrix properties
number of rows	74,062
number of columns	74,062
nonzeros	1,731,206
structural full rank?	yes
structural rank	74,062
# of blocks from dmperm	1
# strongly connected comp.	1
explicit zero entries	0
nonzero pattern symmetry	symmetric
numeric value symmetry	61%
type	complex
structure	unsymmetric
Cholesky candidate?	no
positive definite?	no

author	S.-H. Lee
editor	T. Davis
date	2008
kind	electromagnetics problem
2D/3D problem?	yes

Notes:

From the Univ of Illinois at Urbana-Champaign, Center for Computational 
Electromagnetics (development and application of the finite element     
method for analyzing antennas, high-frequency circuits, high-speed      
circuits, and so on).  The governing equations are Maxwell's equations. 
The matrix results from the finite-element discretization of a bandpass 
microwave filter at 500 MHz. The first-order vector element is employed.
The absorbing boundary condition is applied on the outer boundary of the
structure for emulating the open space.  The port boundary condition is 
applied on each port of the circuit for the truncating the computational
domain and exciting the circuit. Due to these boundary conditions, the  
finite-element system matrix is complex.                                

Ordering statistics:	result
nnz(chol(P*(A+A'+s*I)*P')) with AMD	30,376,062
Cholesky flop count	4.4e+10
nnz(L+U), no partial pivoting, with AMD	60,678,062
nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD	71,971,769
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD	135,637,784

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.