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 |
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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 |