• SJSU Singular Matrix Database
• Matrix group: Bai

• Matrix: Bai/odepb400
• Description: MODEL ORDINARY DIFFERENTIAL EIGENVALUE PROBLEM
• download as a MATLAB mat-file, file size: 3 KB. Use SJget(162) or SJget('Bai/odepb400') 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 400 number of columns 400 structural full rank? no structural rank 399 numerical rank 399 dimension of the numerical null space 1 numerical rank / min(size(A)) 0.9975 Euclidean norm of A 2.66e-014 calculated singular value # 399 1.33e-014 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 1.2622e-027 calculated singular value # 400 0 gap in the singular values at the numerical rank: singular value # 399 / singular value # 400 Inf calculated condition number Inf condest Inf nonzeros 399 # of blocks from dmperm 401 # strongly connected comp. 400 explicit zero entries 0 nonzero pattern symmetry symmetric numeric value symmetry symmetric type real structure symmetric Cholesky candidate? yes positive definite? no

 author G. Stewart editor Z. Bai, D. Day, J. Demmel, J. Dongarra date 1978 kind 2D/3D problem 2D/3D problem? yes SJid 162 UFid 317

 Ordering statistics: AMD METIS nnz(chol(P*(A+A'+s*I)*P')) 400 400 Cholesky flop count 4.0e+002 4.0e+002 nnz(L+U), no partial pivoting 400 400 nnz(V) for QR, upper bound nnz(L) for LU 400 400 nnz(R) for QR, upper bound nnz(U) for LU 400 400

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.