Group FlowIPM22

Group Description
FlowIPM22: Laplacians from Newton-Steps of Maxflow Short-step IPM on Chimera Graphs

A collection of matrices arising from solving maximum flow problems on a
diverse collection of graphs (known as Chimeras) using a short-step
interior point method. The Laplacian matrices arise when computing Newton
steps of the interior point method.

The matrices are symmetric graph Laplacians, meaning they are symmetric
diagonally dominant matrices with non-positive off-diagonals and row sums
equal to zero.

Generated by Yuan Gao, Rasmus Kyng, and Daniel Spielman. 2022.

References:

data set: https://www.spe.org/web/csp/datasets/set02.htm

An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank
Approximations Léopold Cambier, Chao Chen, Erik G. Boman, Sivasankaran
Rajamanickam, Raymond S. Tuminaro, and Eric Darve
SIAM Journal on Matrix Analysis and Applications, vol 41, no 2,
pp 715-746, 2020.  https://epubs.siam.org/doi/10.1137/19M123806X
Displaying all 11 collection matrices
Id Name Group Rows Cols Nonzeros Kind Date Download File
2900 uni_chimera_i1 FlowIPM22 100,000 100,000 1,100,592 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2904 uni_chimera_i5 FlowIPM22 100,000 100,000 499,982 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2903 uni_chimera_i4 FlowIPM22 100,000 100,000 814,436 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2902 uni_chimera_i3 FlowIPM22 100,000 100,000 499,696 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2901 uni_chimera_i2 FlowIPM22 100,000 100,000 797,974 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2894 Spielman_k100 FlowIPM22 338,402 338,402 1,025,404 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2895 Spielman_k200 FlowIPM22 2,686,802 2,686,802 8,100,804 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2896 Spielman_k300 FlowIPM22 9,045,202 9,045,202 27,226,204 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2897 Spielman_k400 FlowIPM22 21,413,602 21,413,602 64,401,604 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2898 Spielman_k500 FlowIPM22 41,792,002 41,792,002 125,627,004 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market
2899 Spielman_k600 FlowIPM22 72,180,402 72,180,402 216,902,404 Undirected Weighted Graph 2023 MATLAB Rutherford Boeing Matrix Market