• SJSU Singular Matrix Database
• Matrix group: Schenk_ISEI
• Click here for a description of the Schenk_ISEI group.
• Click here for a list of all matrices
• Click here for a list of all matrix groups

• Matrix: Schenk_ISEI/igbt3
• Description: Olaf Schenk, Univ. Basel: Integrated Systems Eng., San Jose, semiconductor device
• download as a MATLAB mat-file, file size: 1 MB. Use SJget(432) or SJget('Schenk_ISEI/igbt3') in MATLAB.
• download in Matrix Market format, file size: 1 MB.
• download in Rutherford/Boeing format, file size: 1 MB.

A singular value of A is guaranteed1 to be in the interval pictured by the blue bars around each of the calculated singular values.

Routine svds_err, version 1.0, used with Matlab 7.6.0.324 (R2008a) to calculate the 6 largest singular values and associated error bounds.
Routine spnrank, version 1.0 with opts.tol_eigs = 1e-010, used with Matlab 7.6.0.324 (R2008a) to calculate singular values 7590 to 7595 and associated error bounds. Matrix properties (click for a legend) number of rows 10,938 number of columns 10,938 structural full rank? yes structural rank 10,938 numerical rank 7,592 dimension of the numerical null space 3,346 numerical rank / min(size(A)) 0.69409 Euclidean norm of A 1.2039e+012 calculated singular value # 7592 2.6749 numerical rank defined using a tolerance max(size(A))*eps(norm(A)) = 2.6704 calculated singular value # 7593 2.6656 gap in the singular values at the numerical rank: singular value # 7592 / singular value # 7593 1.0035 calculated condition number -2 condest 4.7393e+019 nonzeros 130,500 # of blocks from dmperm 1 # strongly connected comp. 1 entries not in dmperm blocks 0 explicit zero entries 103,506 nonzero pattern symmetry symmetric numeric value symmetry 17% type real structure unsymmetric Cholesky candidate? no positive definite? no

 author Integrated Sys. Eng. editor O. Schenk date 2003 kind semiconductor device problem 2D/3D problem? yes SJid 432 UFid 969

 Additional fields size and type b full 10938-by-1

 Ordering statistics: AMD METIS nnz(chol(P*(A+A'+s*I)*P')) 595,714 562,450 Cholesky flop count 5.7e+007 4.8e+007 nnz(L+U), no partial pivoting 1,180,490 1,113,962 nnz(V) for QR, upper bound nnz(L) for LU 758,836 826,528 nnz(R) for QR, upper bound nnz(U) for LU 1,450,496 1,575,971

Note that all matrix statistics (except nonzero pattern symmetry) exclude the 103506 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.