• SJSU Singular Matrix Database
• Matrix group: HB

• Matrix: HB/mahindas
• Description: UNSYMMETRIC MATRIX MAHINDAS ST ERTAR 24OCT84
• download as a MATLAB mat-file, file size: 46 KB. Use SJget(296) or SJget('HB/mahindas') 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 1,258 number of columns 1,258 structural full rank? yes structural rank 1,258 numerical rank 1,257 dimension of the numerical null space 1 numerical rank / min(size(A)) 0.99921 Euclidean norm of A 2.0451e+007 calculated singular value # 1257 0.015039 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 4.6864e-006 calculated singular value # 1258 9.8213e-007 gap in the singular values at the numerical rank: singular value # 1257 / singular value # 1258 15312 calculated condition number 2.0823e+013 condest 1.0343e+013 nonzeros 7,682 # of blocks from dmperm 670 # strongly connected comp. 1 entries not in dmperm blocks 2,269 explicit zero entries 0 nonzero pattern symmetry 2% numeric value symmetry 0% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author K. Pearson editor I. Duff, R. Grimes, J. Lewis date 1984 kind economic problem 2D/3D problem? no SJid 296 UFid 208

 Additional fields size and type b sparse 1258-by-55

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 73,433 79,714 9,978 Cholesky flop count 1.4e+007 1.5e+007 3.2e+005 nnz(L+U), no partial pivoting 145,608 158,170 20,967 nnz(V) for QR, upper bound nnz(L) for LU 20,045 22,162 8,729 nnz(R) for QR, upper bound nnz(U) for LU 50,432 57,973 23,005

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.