• SJSU Singular Matrix Database
• Matrix group: Bai

• Matrix: Bai/mhda416
• Description: MAGNETO-HYDRO-DYNAMICS ALFVEN SPECTRAL PROBLEM
• download as a MATLAB mat-file, file size: 59 KB. Use SJget(158) or SJget('Bai/mhda416') 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 416 number of columns 416 structural full rank? yes structural rank 416 numerical rank 322 dimension of the numerical null space 94 numerical rank / min(size(A)) 0.77404 Euclidean norm of A 2542.6 calculated singular value # 322 1.9636e-010 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 1.8917e-010 calculated singular value # 323 1.7975e-010 gap in the singular values at the numerical rank: singular value # 322 / singular value # 323 1.0924 calculated condition number 6.568e+023 condest 2.4132e+025 nonzeros 8,562 # of blocks from dmperm 8 # strongly connected comp. 8 entries not in dmperm blocks 0 explicit zero entries 0 nonzero pattern symmetry 77% numeric value symmetry 27% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author A. Booten, M. Kooper, H. van der Vorst, S. Poedts, J. Goedbloed editor Z. Bai, D. Day, J. Demmel, J. Dongarra date 1994 kind electromagnetics problem 2D/3D problem? yes SJid 158 UFid 314

 Ordering statistics: AMD METIS DMPERM+ nnz(chol(P*(A+A'+s*I)*P')) 7,647 9,938 8,277 Cholesky flop count 1.5e+005 2.6e+005 1.7e+005 nnz(L+U), no partial pivoting 14,878 19,460 16,138 nnz(V) for QR, upper bound nnz(L) for LU 14,481 8,896 6,773 nnz(R) for QR, upper bound nnz(U) for LU 24,034 18,462 13,256

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.