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
entries not in dmperm blocks	0
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:

Jeffrey (Shih-Hao) Lee is a PhD student in the Center for Computational     
Electromagnetics, Univ. of Illinois at Urbana-Champaign.  He is working on  
the 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:	AMD	METIS
nnz(chol(P*(A+A'+s*I)*P'))	30,376,062	17,655,316
Cholesky flop count	4.4e+10	1.4e+10
nnz(L+U), no partial pivoting	60,678,062	35,236,570
nnz(V) for QR, upper bound nnz(L) for LU	71,971,769	45,213,573
nnz(R) for QR, upper bound nnz(U) for LU	135,637,784	91,066,663

Maintained by Tim Davis, last updated 17-May-2008.
Matrix pictures by cspy, a MATLAB function in the CSparse package.
Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.