• SJSU Singular Matrix Database
• Matrix group: Lucifora

• Matrix: Lucifora/cell2
• Description: Telecom Italia Mobile, GSM cell phone problem (cell2)
• download as a MATLAB mat-file, file size: 145 KB. Use SJget(347) or SJget('Lucifora/cell2') in MATLAB.

Routine svd from Matlab 7.6.0.324 (R2008a) used to calculate the singular values.

 Matrix properties (click for a legend) number of rows 7,055 number of columns 7,055 structural full rank? yes structural rank 7,055 numerical rank 7,054 dimension of the numerical null space 1 numerical rank / min(size(A)) 0.99986 Euclidean norm of A 402.71 calculated singular value # 7054 0.22887 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 4.0103e-010 calculated singular value # 7055 3.77e-015 gap in the singular values at the numerical rank: singular value # 7054 / singular value # 7055 6.0709e+013 calculated condition number 1.0682e+017 condest 6.3416e+017 nonzeros 30,082 # of blocks from dmperm 1 # strongly connected comp. 1 entries not in dmperm blocks 0 explicit zero entries 4,773 nonzero pattern symmetry 100% numeric value symmetry 0% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author S. Lucifora editor T. Davis date 2003 kind directed weighted graph 2D/3D problem? no SJid 347 UFid 935

 Additional fields size and type b full 7055-by-1

 Ordering statistics: AMD METIS nnz(chol(P*(A+A'+s*I)*P')) 121,334 115,144 Cholesky flop count 4.3e+006 4.3e+006 nnz(L+U), no partial pivoting 235,613 223,233 nnz(V) for QR, upper bound nnz(L) for LU 179,016 161,205 nnz(R) for QR, upper bound nnz(U) for LU 316,331 307,658

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 4773 explicit zero entries.

Maintained by Leslie Foster, last updated 24-Apr-2009.

Entries 5 through 14 in the table of matrix properties and the singular
value plot were created using SJsingular code. The other plots
and statistics are produced using utilities from the SuiteSparse package.
Matrix color plot pictures by cspy, a MATLAB function in the CSparse package.