From fd4d9b3e0e19cf282821d64f9b11aec00b5660d9 Mon Sep 17 00:00:00 2001 From: Alexis Montoison Date: Thu, 25 Feb 2021 18:17:29 -0500 Subject: [PATCH 1/2] Solutions generated with MINRES-QLP --- README.md | 10 +- julia/write_mls.jl | 35 + mls/krylov/large2_scaled_mls.txt | 34528 +++++ mls/krylov/large_scaled_mls.txt | 17264 +++ mls/krylov/medium2_scaled_mls.txt | 12238 ++ mls/krylov/medium_scaled_mls.txt | 6119 + mls/krylov/small2_scaled_mls.txt | 3976 + mls/krylov/small_scaled_mls.txt | 1988 + mls/krylov/very2_scaled_mls.txt | 211764 +++++++++++++++++++++++++++ mls/krylov/very_scaled_mls.txt | 105882 ++++++++++++++ 10 files changed, 393803 insertions(+), 1 deletion(-) create mode 100644 julia/write_mls.jl create mode 100644 mls/krylov/large2_scaled_mls.txt create mode 100644 mls/krylov/large_scaled_mls.txt create mode 100644 mls/krylov/medium2_scaled_mls.txt create mode 100644 mls/krylov/medium_scaled_mls.txt create mode 100644 mls/krylov/small2_scaled_mls.txt create mode 100644 mls/krylov/small_scaled_mls.txt create mode 100644 mls/krylov/very2_scaled_mls.txt create mode 100644 mls/krylov/very_scaled_mls.txt diff --git a/README.md b/README.md index 231321d..7337878 100644 --- a/README.md +++ b/README.md @@ -36,7 +36,7 @@ to be cut off and I was not able to un-archive it or repair it. If you know of a way to repair it, or better yet, have done it, please consider submitting a pull request! -## Solutions +## Solutions generated with MATLAB Because each problem is rank deficient, the solution we elected to report is the minimum least-squares solution, i.e., among all the least-squares @@ -61,6 +61,14 @@ For this reason, the solutions are named, e.g., `small_scaled_mls.rb`. The Matlab code writes the solutions as simple vectors in a text file. The matrices, right-hand sides and solutions are subsequently converted to Rutherford-Boeing format using the Julia package [`HarwellRutherfordBoeing.jl`](https://github.com/JuliaSparse/HarwellRutherfordBoeing.jl). +## Solutions generated with Julia + +Each solution was generated by the Krylov method [`minres_qlp`](https://github.com/JuliaSmoothOptimizers/Krylov.jl) applied on the normal equations. +The computations are performed in quadruple precision. + +Each minimum least-squares solution was generated using the Julia script +`write_mls.jl` found under `julia`. Solutions are stored in `mls\krylov` folder. + ## References Here are the original references for this test set. diff --git a/julia/write_mls.jl b/julia/write_mls.jl new file mode 100644 index 0000000..36d81cb --- /dev/null +++ b/julia/write_mls.jl @@ -0,0 +1,35 @@ +using BenchmarkTools, HarwellRutherfordBoeing +using LinearAlgebra, SparseArrays, DelimitedFiles +using Krylov, Quadmath + +function scale_ls!(A) + n, m = size(A) + s = ones(m) + for j = 1 : m + i = A.colptr[j] + k = A.colptr[j+1] - 1 + nj = (i ≤ k) ? norm(A.nzval[i:k]) : 0.0 + if nj > 0.0 + A.nzval[i:k] ./= nj + s[j] = nj + end + end + return s +end + +for pb in ("small", "small2", "medium", "medium2", "large", "large2", "very", "very2") + print("$pb: ") + A = RutherfordBoeingData("../rb/$(pb).rb").data + b = HarwellBoeingMatrix("../hb/$(pb).hb").rhs[:] + s = scale_ls!(A) + A = Float128.(A) + b = Float128.(b) + M = A' * A + rhs = A' * b + x, stats = minres_qlp(M, rhs, rtol=Float128(1e-20), atol=Float128(1e-25)) + println("✓") + x = Float64.(x) + open("../mls/krylov/$(pb)_scaled_mls.txt", "w") do io + writedlm(io, x) + end +end diff --git a/mls/krylov/large2_scaled_mls.txt b/mls/krylov/large2_scaled_mls.txt new file mode 100644 index 0000000..08ac028 --- /dev/null +++ b/mls/krylov/large2_scaled_mls.txt @@ -0,0 +1,34528 @@ +162.61395762698172 +32.04976767084615 +122.9652319573511 +25.844520449474953 +133.56849973534364 +25.739796169457534 +148.69808118300207 +36.83028273599144 +103.2116511540282 +21.368685419899403 +146.29690318579264 +9.792968899845834 +116.87288456638275 +14.719010195014187 +77.45891583645037 +31.128043148763254 +114.52413223457569 +24.568894532096266 +100.99538908214042 +29.39155705927184 +84.99317727414474 +35.20404056910069 +148.41617000751225 +13.638633251509503 +90.44137821977438 +32.35613546669593 +99.15050560534976 +26.1770040927628 +158.03209113989774 +34.315458041353786 +119.08915632933508 +25.845157186079962 +238.7214263215812 +18.746260116216206 +125.22364728149141 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+1228.0337328645912 +2006.6017852373625 +1975.6179541475124 +1295.5641231927216 +458.96560423473636 +1224.5621097382523 +1330.563523240252 +2271.840643637376 +981.2700099159033 +1243.8151566938795 +653.0433194488351 +428.70748130537004 +1422.721932333663 +1994.4038800990243 +2481.571970115407 +2072.040900679779 +2740.931554994323 +2104.8119426190933 +1525.020151058142 +1640.6608852532743 +1354.5044001615283 +1968.9480604963137 +1653.8477852401425 +1463.3562148239916 +1482.608223554658 +1984.9356171075958 +1233.5901262719306 +2076.432685390809 +2734.990119718118 +549.3237389992423 +1786.366472143582 +1389.8231269168377 +927.6940796403043 +1214.9899274983811 +817.2007677482999 +831.3920806007022 +1462.7054443377444 +794.9856311085026 +3579.762550258113 +2045.0203879743237 +2955.911045805212 +2287.9071745362576 +2560.687670553371 +3291.191930142214 +825.7296740803986 +753.6004997086047 From f2157145e0b8de8c7e56cee405fb06fad3e69062 Mon Sep 17 00:00:00 2001 From: Alexis Montoison Date: Thu, 25 Feb 2021 18:24:06 -0500 Subject: [PATCH 2/2] Remove unused dependencies --- julia/write_mls.jl | 3 +-- 1 file changed, 1 insertion(+), 2 deletions(-) diff --git a/julia/write_mls.jl b/julia/write_mls.jl index 36d81cb..3bc2c7e 100644 --- a/julia/write_mls.jl +++ b/julia/write_mls.jl @@ -1,6 +1,5 @@ -using BenchmarkTools, HarwellRutherfordBoeing using LinearAlgebra, SparseArrays, DelimitedFiles -using Krylov, Quadmath +using Krylov, Quadmath, HarwellRutherfordBoeing function scale_ls!(A) n, m = size(A)