Matrices from Lenka Dubcova, Jakub Cerveny, and Pavel Solin Univ. of Texas at El Paso. From a PDE solver. The fill-in when working on a leading submatrix can be higher than for the whole matrix. Subsets of interest are the first k rows and columns where: matrix Dubcova1 k = 12033 matrix Dubcova2 k = 48641 matrix Dubcova3 k = 81153 Details below: 1 Dubcova1 ========================================================== ---------------- complete matrix: name: 'UTEP/Dubcova1' title: 'Univ. Texas at El Paso, from a PDE solver' id: 1847 A: [16129x16129 double] date: '2007' author: 'L. Dubcova, J. Cerveny, and P. Solin' ed: 'T. Davis' kind: '2D/3D problem' UMFPACK resid 1.23002e-10, tot time 0.374201 with AMD nnz L: 576080 (with AMD), ordering time: 0.035546 nnz L: 608040 with METIS, ordering time: 0.264172 UMFPACK resid 1.22938e-10, tot time 0.625973 with METIS ---------------- small subset: UMFPACK resid 1.20162e-10, tot time 0.406472 with AMD nnz L: 814164 (with AMD), ordering time: 0.024683 nnz L: 571918 with METIS, ordering time: 0.169995 UMFPACK resid 1.19592e-10, tot time 0.458673 with METIS 2 Dubcova2 ========================================================== ---------------- complete matrix: name: 'UTEP/Dubcova2' title: 'Univ. Texas at El Paso, from a PDE solver' id: 1848 A: [65025x65025 double] date: '2007' author: 'L. Dubcova, J. Cerveny, and P. Solin' ed: 'T. Davis' kind: '2D/3D problem' UMFPACK resid 1.91486e-09, tot time 1.991 with AMD nnz L: 2956869 (with AMD), ordering time: 0.168376 nnz L: 3018738 with METIS, ordering time: 1.42383 UMFPACK resid 1.9355e-09, tot time 3.30308 with METIS ---------------- small subset: UMFPACK resid 1.89023e-09, tot time 2.54658 with AMD nnz L: 4357099 (with AMD), ordering time: 0.121351 nnz L: 2835807 with METIS, ordering time: 0.92858 UMFPACK resid 1.87189e-09, tot time 2.48607 with METIS 3 Dubcova3 ========================================================== ---------------- complete matrix: name: 'UTEP/Dubcova3' title: 'Univ. Texas at El Paso, from a PDE solver' id: 1849 A: [146689x146689 double] date: '2007' author: 'L. Dubcova, J. Cerveny, and P. Solin' ed: 'T. Davis' kind: '2D/3D problem' Zeros: [146689x146689 double] UMFPACK resid 2.04934e-09, tot time 5.38897 with AMD nnz L: 7252162 (with AMD), ordering time: 0.331024 nnz L: 7539100 with METIS, ordering time: 2.49977 UMFPACK resid 2.05082e-09, tot time 7.39527 with METIS ---------------- small subset: UMFPACK resid 2.04213e-09, tot time 5.87802 with AMD nnz L: 10085274 (with AMD), ordering time: 0.195067 nnz L: 6536588 with METIS, ordering time: 1.11139 UMFPACK resid 2.03453e-09, tot time 4.6961 with METIS