problem 1, dimensions: 5 10 Initial L2 norm of the residuals: 5.0 Final L2 norm of the residuals: 2.2360679774997902 Number of function evaluations: 4 Number of Jacobian evaluations: 3 Info value: 3 Final approximate solution: -1.0000000298023202 -1.0000000298023197 -1.0000000298023208 -1.000000029802321 -1.0000000298023204 problem 1, dimensions: 5 50 Initial L2 norm of the residuals: 8.062257748298547 Final L2 norm of the residuals: 6.708203932499368 Number of function evaluations: 3 Number of Jacobian evaluations: 2 Info value: 1 Final approximate solution: -0.9999998927116646 -0.9999998927116558 -0.9999998927116706 -0.9999998927116549 -0.9999998927116555 problem 2, dimensions: 5 10 Initial L2 norm of the residuals: 291.52186881947637 Final L2 norm of the residuals: 1.4638501094227998 Number of function evaluations: 3 Number of Jacobian evaluations: 2 Info value: 1 Final approximate solution: -19.086010352698906 -9.043005176349453 183.01884899823267 -4.021502588174674 -99.13113175875539 problem 2, dimensions: 5 50 Initial L2 norm of the residuals: 3101.6003933453453 Final L2 norm of the residuals: 3.4826301657349616 Number of function evaluations: 4 Number of Jacobian evaluations: 2 Info value: 1 Final approximate solution: -268.36405452990164 -133.68202726495082 101.69985450393926 -66.34101363247537 99.20446060963026 problem 3, dimensions: 5 10 Initial L2 norm of the residuals: 126.03967629282455 Final L2 norm of the residuals: 1.909727421264462 Number of function evaluations: 3 Number of Jacobian evaluations: 2 Info value: 1 Final approximate solution: 1.0 -212.31372109060297 104.71272799838177 27.666432193569186 1.0 problem 3, dimensions: 5 50 Initial L2 norm of the residuals: 1748.9499706967035 Final L2 norm of the residuals: 3.6917294022424563 Number of function evaluations: 3 Number of Jacobian evaluations: 2 Info value: 1 Final approximate solution: 1.0 -193.67723395822136 124.98685790027247 3.1062055126642987 1.0 problem 4, dimensions: 2 2 Initial L2 norm of the residuals: 4.919349550499537 Final L2 norm of the residuals: 0.0 Number of function evaluations: 22 Number of Jacobian evaluations: 16 Info value: 2 Final approximate solution: 1.0 1.0 problem 4, dimensions: 2 2 Initial L2 norm of the residuals: 1340.063058217784 Final L2 norm of the residuals: 2.220446049250313E-15 Number of function evaluations: 8 Number of Jacobian evaluations: 5 Info value: 2 Final approximate solution: 1.0 1.0000000000000002 problem 4, dimensions: 2 2 Initial L2 norm of the residuals: 143000.05119229853 Final L2 norm of the residuals: 0.0 Number of function evaluations: 7 Number of Jacobian evaluations: 5 Info value: 2 Final approximate solution: 1.0 1.0 problem 5, dimensions: 3 3 Initial L2 norm of the residuals: 50.0 Final L2 norm of the residuals: 7.006363872300511E-16 Number of function evaluations: 11 Number of Jacobian evaluations: 8 Info value: 2 Final approximate solution: 1.0 -4.402228253919244E-17 9.737152005269328E-57 problem 5, dimensions: 3 3 Initial L2 norm of the residuals: 102.95630140987001 Final L2 norm of the residuals: 8.481794896029156E-18 Number of function evaluations: 20 Number of Jacobian evaluations: 15 Info value: 2 Final approximate solution: 1.0 -5.329268906924119E-19 2.945429474756961E-45 problem 5, dimensions: 3 3 Initial L2 norm of the residuals: 991.2618221237011 Final L2 norm of the residuals: 1.7722821403109918E-22 Number of function evaluations: 19 Number of Jacobian evaluations: 16 Info value: 2 Final approximate solution: 1.0 1.1135577104178812E-23 -8.041208253373473E-103 problem 6, dimensions: 4 4 Initial L2 norm of the residuals: 14.662878298615182 Final L2 norm of the residuals: 3.534491794847031E-21 Number of function evaluations: 236 Number of Jacobian evaluations: 191 Info value: 5 Final approximate solution: 5.060282149485331E-11 -5.060282149491206E-12 2.1794478435472183E-11 2.1794478435472183E-11 problem 6, dimensions: 4 4 Initial L2 norm of the residuals: 1270.9838708654017 Final L2 norm of the residuals: 7.1532675692158E-22 Number of function evaluations: 235 Number of Jacobian evaluations: 192 Info value: 5 Final approximate solution: 2.2605815530875387E-11 -2.260581553087539E-12 1.0628559645605768E-11 1.0628559645605768E-11 problem 6, dimensions: 4 4 Initial L2 norm of the residuals: 126887.90328474973 Final L2 norm of the residuals: 6.000693085189192E-22 Number of function evaluations: 236 Number of Jacobian evaluations: 192 Info value: 5 Final approximate solution: 2.0682621106346383E-11 -2.068262110634638E-12 9.778949449029018E-12 9.778949449029018E-12 problem 7, dimensions: 2 2 Initial L2 norm of the residuals: 20.0124960961895 Final L2 norm of the residuals: 6.998875175846333 Number of function evaluations: 14 Number of Jacobian evaluations: 8 Info value: 1 Final approximate solution: 11.41248443817057 -0.896827915672117 problem 7, dimensions: 2 2 Initial L2 norm of the residuals: 12432.833948862986 Final L2 norm of the residuals: 6.998875174489243 Number of function evaluations: 19 Number of Jacobian evaluations: 12 Info value: 1 Final approximate solution: 11.413004631904188 -0.8967960409233378 problem 7, dimensions: 2 2 Initial L2 norm of the residuals: 1.1426454595761977E7 Final L2 norm of the residuals: 6.9988751724290195 Number of function evaluations: 24 Number of Jacobian evaluations: 17 Info value: 1 Final approximate solution: 11.412781738697834 -0.8968051110113898 problem 8, dimensions: 3 15 Initial L2 norm of the residuals: 6.456136295159668 Final L2 norm of the residuals: 0.09063596033904542 Number of function evaluations: 6 Number of Jacobian evaluations: 5 Info value: 1 Final approximate solution: 0.08241057586436833 1.1330366265378435 2.3436946649075865 problem 8, dimensions: 3 15 Initial L2 norm of the residuals: 36.141853159678455 Final L2 norm of the residuals: 4.174768723337527 Number of function evaluations: 39 Number of Jacobian evaluations: 38 Info value: 1 Final approximate solution: 0.8406666788547107 -1.0818386859098315E8 -1.0928762494685271E8 problem 8, dimensions: 3 15 Initial L2 norm of the residuals: 384.11467863739915 Final L2 norm of the residuals: 4.174768702792703 Number of function evaluations: 13 Number of Jacobian evaluations: 12 Info value: 1 Final approximate solution: 0.8406666758512192 -1.5595038846168226E8 -1.5754813627831304E8 problem 9, dimensions: 4 11 Initial L2 norm of the residuals: 0.07289151028829448 Final L2 norm of the residuals: 0.017535837721316592 Number of function evaluations: 18 Number of Jacobian evaluations: 16 Info value: 1 Final approximate solution: 0.1928078134034123 0.19126256039886635 0.12305276891924403 0.13605318061513144 problem 9, dimensions: 4 11 Initial L2 norm of the residuals: 2.9793700755520205 Final L2 norm of the residuals: 0.0320521936514487 Number of function evaluations: 78 Number of Jacobian evaluations: 69 Info value: 1 Final approximate solution: 233407.7550650136 -14.075876385829813 -1.0563371633519506E7 -6589445.168854165 problem 9, dimensions: 4 11 Initial L2 norm of the residuals: 29.959061701603652 Final L2 norm of the residuals: 0.030707539812759463 Number of function evaluations: 229 Number of Jacobian evaluations: 193 Info value: 5 Final approximate solution: 0.004094945918438346 578.7852664747106 7.273225661935865 4.912841555462725 problem 10, dimensions: 3 16 Initial L2 norm of the residuals: 41153.46655430312 Final L2 norm of the residuals: 9.37794514650624 Number of function evaluations: 127 Number of Jacobian evaluations: 117 Info value: 1 Final approximate solution: 0.005609636425929414 6181.346353063724 345.2236348546664 problem 10, dimensions: 3 16 Initial L2 norm of the residuals: 4168216.8913084646 Final L2 norm of the residuals: 62375.99179973012 Number of function evaluations: 4 Number of Jacobian evaluations: 3 Info value: 4 Final approximate solution: 1.382309482487719 -3664.2125632070783 -22.64388427449876 problem 11, dimensions: 6 31 Initial L2 norm of the residuals: 5.477225575051661 Final L2 norm of the residuals: 0.0510466197136719 Number of function evaluations: 8 Number of Jacobian evaluations: 7 Info value: 1 Final approximate solution: -1.389015084525616E-24 1.0136383860360794 -0.2443030963598624 1.3737699623989188 -1.6856384949941148 1.0980966598993074 problem 11, dimensions: 6 31 Initial L2 norm of the residuals: 6433.125789500264 Final L2 norm of the residuals: 0.04782959390968857 Number of function evaluations: 14 Number of Jacobian evaluations: 13 Info value: 1 Final approximate solution: -0.015725187100885007 1.0124348701487864 -0.23299164097592856 1.2604295869913718 -1.5137280575814311 0.9929958495184152 problem 11, dimensions: 6 31 Initial L2 norm of the residuals: 674256.0406052133 Final L2 norm of the residuals: 0.047829593911929674 Number of function evaluations: 15 Number of Jacobian evaluations: 14 Info value: 1 Final approximate solution: -0.01572466666335596 1.0124349183031771 -0.23299201967933036 1.2604333977552167 -1.5137338334179362 0.9929993473837619 problem 11, dimensions: 9 31 Initial L2 norm of the residuals: 5.477225575051661 Final L2 norm of the residuals: 0.0011832136451362706 Number of function evaluations: 8 Number of Jacobian evaluations: 7 Info value: 1 Final approximate solution: 1.403007116406604E-22 0.9997896651084196 0.014781241715292208 0.14631806909958595 1.000962622359597 -2.6180985889508763 4.104965597296268 -3.144049180330689 1.0527709588477914 problem 11, dimensions: 9 31 Initial L2 norm of the residuals: 12088.127069307002 Final L2 norm of the residuals: 0.0011831148436622296 Number of function evaluations: 27 Number of Jacobian evaluations: 14 Info value: 2 Final approximate solution: -1.4782021244972587E-5 0.9997897147136178 0.01476276665001966 0.14636068733095686 1.000731775585756 -2.617503041985124 4.1040928888191655 -3.1433986012468633 1.0525682835083012 problem 11, dimensions: 9 31 Initial L2 norm of the residuals: 1269109.2904383382 Final L2 norm of the residuals: 0.0011831148707160271 Number of function evaluations: 29 Number of Jacobian evaluations: 18 Info value: 2 Final approximate solution: -1.4640264038658652E-5 0.9997898447613114 0.01476334283031877 0.14635043207876972 1.0007896419677351 -2.617659183105405 4.104311388837974 -3.1435506292757305 1.0526099972454401 problem 11, dimensions: 12 31 Initial L2 norm of the residuals: 5.477225575051661 Final L2 norm of the residuals: 2.1731329585029264E-5 Number of function evaluations: 20 Number of Jacobian evaluations: 9 Info value: 2 Final approximate solution: -1.8474639656238883E-23 1.000001595208542 -5.591208577247701E-4 0.34773431948879563 -0.1560268733834621 1.049583225162835 -3.2381699404735604 7.27207955612517 -10.2530116261482 9.06064825306459 -4.535932795750912 1.0110609282719831 problem 11, dimensions: 12 31 Initial L2 norm of the residuals: 19220.758979095073 Final L2 norm of the residuals: 2.1734632695567926E-5 Number of function evaluations: 29 Number of Jacobian evaluations: 13 Info value: 2 Final approximate solution: 1.66102964305919E-8 1.000001549590827 -5.506908633598203E-4 0.3475833005663174 -0.15478630989916917 1.043809646601146 -3.2216030128175395 7.241701906616916 -10.21731467268892 9.034629579518931 -4.525219980326248 1.0091562401076144 problem 11, dimensions: 12 31 Initial L2 norm of the residuals: 2018918.0446236664 Final L2 norm of the residuals: 2.1733822570136686E-5 Number of function evaluations: 54 Number of Jacobian evaluations: 32 Info value: 2 Final approximate solution: -9.429261532031339E-8 1.0000017059036723 -5.72744498031817E-4 0.3479955222823367 -0.1582666092583066 1.0602416720589256 -3.269101156277629 7.3291048270680745 -10.32018190534795 9.109652177930995 -4.556117302343919 1.0146510956843018 problem 12, dimensions: 3 10 Initial L2 norm of the residuals: 32.11158374495718 Final L2 norm of the residuals: 2.1499376424746292E-16 Number of function evaluations: 7 Number of Jacobian evaluations: 6 Info value: 2 Final approximate solution: 0.9999999999999999 10.0 1.0 problem 13, dimensions: 2 10 Initial L2 norm of the residuals: 64.58564981449433 Final L2 norm of the residuals: 11.151779341349899 Number of function evaluations: 21 Number of Jacobian evaluations: 12 Info value: 1 Final approximate solution: 0.2578199266838486 0.2578299765301789 problem 14, dimensions: 4 20 Initial L2 norm of the residuals: 2815.4383916181564 Final L2 norm of the residuals: 292.9552193535503 Number of function evaluations: 213 Number of Jacobian evaluations: 197 Info value: 5 Final approximate solution: -11.574240173224279 13.196352752513787 -0.40690764812113944 0.23402631572218083 problem 14, dimensions: 4 20 Initial L2 norm of the residuals: 555073.3541730687 Final L2 norm of the residuals: 292.95426716273204 Number of function evaluations: 49 Number of Jacobian evaluations: 38 Info value: 1 Final approximate solution: -11.5953012485122 13.203954867873758 -0.40342763562658746 0.2367755759207221 problem 14, dimensions: 4 20 Initial L2 norm of the residuals: 6.121125223385811E7 Final L2 norm of the residuals: 292.95443178761354 Number of function evaluations: 212 Number of Jacobian evaluations: 198 Info value: 5 Final approximate solution: -11.586227297593284 13.200536398815128 -0.402556797716628 0.23745804886708288 problem 15, dimensions: 1 8 Initial L2 norm of the residuals: 1.886237969077315 Final L2 norm of the residuals: 1.886237969077314 Number of function evaluations: 2 Number of Jacobian evaluations: 1 Info value: 1 Final approximate solution: 0.5000000053094538 problem 15, dimensions: 1 8 Initial L2 norm of the residuals: 5.383344372340053E9 Final L2 norm of the residuals: 1.8842482050014595 Number of function evaluations: 29 Number of Jacobian evaluations: 28 Info value: 1 Final approximate solution: 0.981731494739827 problem 15, dimensions: 1 8 Initial L2 norm of the residuals: 1.18088726698391731E18 Final L2 norm of the residuals: 1.8842482049953564 Number of function evaluations: 47 Number of Jacobian evaluations: 46 Info value: 1 Final approximate solution: 0.9817314875630088 problem 15, dimensions: 8 8 Initial L2 norm of the residuals: 0.1965138628339747 Final L2 norm of the residuals: 0.05930323550405453 Number of function evaluations: 39 Number of Jacobian evaluations: 20 Info value: 1 Final approximate solution: 0.04315366617992183 0.19309164053007818 0.26632859605433473 0.49999933890358433 0.5000006676605168 0.7336714090780725 0.8069083678702974 0.9568463408454989 problem 15, dimensions: 9 9 Initial L2 norm of the residuals: 0.16994993465202024 Final L2 norm of the residuals: 5.598502642299477E-16 Number of function evaluations: 12 Number of Jacobian evaluations: 9 Info value: 2 Final approximate solution: 0.044205346135782746 0.19949067230988102 0.2356191084710599 0.4160469078925981 0.49999999999999983 0.5839530921074021 0.7643808915289398 0.8005093276901191 0.9557946538642172 problem 15, dimensions: 10 10 Initial L2 norm of the residuals: 0.18374783117871077 Final L2 norm of the residuals: 0.08064710040368878 Number of function evaluations: 25 Number of Jacobian evaluations: 12 Info value: 1 Final approximate solution: 0.05962027056110514 0.16670878779481374 0.23917102527049458 0.3988852948364719 0.39888367201206437 0.6011163375107852 0.6011147163927271 0.7608289909368098 0.8332912250544173 0.9403797397559349 problem 16, dimensions: 10 10 Initial L2 norm of the residuals: 16.530216206349944 Final L2 norm of the residuals: 1.000000000050551 Number of function evaluations: 7 Number of Jacobian evaluations: 5 Info value: 1 Final approximate solution: -0.054691281878607244 -0.05469128187860708 -0.05469128187860708 -0.05469128187860476 -0.05469128187860545 -0.05469128187860389 -0.05469128187860545 -0.0546912818786051 -0.05469128187860355 11.54691281878684 problem 16, dimensions: 10 10 Initial L2 norm of the residuals: 9765624.000892108 Final L2 norm of the residuals: 1.2323975663653873E-14 Number of function evaluations: 13 Number of Jacobian evaluations: 8 Info value: 2 Final approximate solution: 0.9794303033498651 0.9794303033498651 0.9794303033498651 0.9794303033498651 0.9794303033498651 0.9794303033498651 0.9794303033498651 0.9794303033498651 0.9794303033498651 1.2056969665013455 problem 16, dimensions: 10 10 Initial L2 norm of the residuals: 9.765625E16 Final L2 norm of the residuals: 1.0 Number of function evaluations: 34 Number of Jacobian evaluations: 32 Info value: 1 Final approximate solution: -0.00546590110346046 -0.00546590110346046 -0.00546590110346046 -0.00546590110346046 -0.00546590110346046 -0.00546590110346046 -0.0054659011034601385 -0.0054659011034601385 -0.0054659011034601385 11.054659011035628 problem 16, dimensions: 30 30 Initial L2 norm of the residuals: 83.476044467848 Final L2 norm of the residuals: 1.8345833331422266E-13 Number of function evaluations: 11 Number of Jacobian evaluations: 10 Info value: 2 Final approximate solution: 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 1.0000000000001448 0.9999999999956585 problem 16, dimensions: 40 40 Initial L2 norm of the residuals: 128.02636447232265 Final L2 norm of the residuals: 1.1370678529158265E-13 Number of function evaluations: 11 Number of Jacobian evaluations: 10 Info value: 2 Final approximate solution: 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 1.0000000000000084 0.9999999999996709 problem 17, dimensions: 5 33 Initial L2 norm of the residuals: 0.9375640210378385 Final L2 norm of the residuals: 0.007392492609059335 Number of function evaluations: 18 Number of Jacobian evaluations: 15 Info value: 1 Final approximate solution: 0.37541003464824113 1.9358448526658463 -1.464685063652734 0.012867530475500419 0.02212270802671364 problem 18, dimensions: 11 65 Initial L2 norm of the residuals: 1.4468654098471163 Final L2 norm of the residuals: 0.20034404483314397 Number of function evaluations: 16 Number of Jacobian evaluations: 12 Info value: 1 Final approximate solution: 1.309976638000193 0.43155248037247557 0.6336612610099223 0.5994285599543686 0.7541797669231279 0.9043000886038467 1.3657994896510042 4.823731986087324 2.39868475066632 4.5688755473418405 5.675342062690561 Summary of 53 calls to lmdif1: nprob n m nfev njev info final L2 norm 1 5 10 4 3 3 2.2360679774997902 1 5 50 3 2 1 6.708203932499368 2 5 10 3 2 1 1.4638501094227998 2 5 50 4 2 1 3.4826301657349616 3 5 10 3 2 1 1.909727421264462 3 5 50 3 2 1 3.6917294022424563 4 2 2 22 16 2 0.0 4 2 2 8 5 2 2.220446049250313E-15 4 2 2 7 5 2 0.0 5 3 3 11 8 2 7.006363872300511E-16 5 3 3 20 15 2 8.481794896029156E-18 5 3 3 19 16 2 1.7722821403109918E-22 6 4 4 236 191 5 3.534491794847031E-21 6 4 4 235 192 5 7.1532675692158E-22 6 4 4 236 192 5 6.000693085189192E-22 7 2 2 14 8 1 6.998875175846333 7 2 2 19 12 1 6.998875174489243 7 2 2 24 17 1 6.9988751724290195 8 3 15 6 5 1 0.09063596033904542 8 3 15 39 38 1 4.174768723337527 8 3 15 13 12 1 4.174768702792703 9 4 11 18 16 1 0.017535837721316592 9 4 11 78 69 1 0.0320521936514487 9 4 11 229 193 5 0.030707539812759463 10 3 16 127 117 1 9.37794514650624 10 3 16 4 3 4 62375.99179973012 11 6 31 8 7 1 0.0510466197136719 11 6 31 14 13 1 0.04782959390968857 11 6 31 15 14 1 0.047829593911929674 11 9 31 8 7 1 0.0011832136451362706 11 9 31 27 14 2 0.0011831148436622296 11 9 31 29 18 2 0.0011831148707160271 11 12 31 20 9 2 2.1731329585029264E-5 11 12 31 29 13 2 2.1734632695567926E-5 11 12 31 54 32 2 2.1733822570136686E-5 12 3 10 7 6 2 2.1499376424746292E-16 13 2 10 21 12 1 11.151779341349899 14 4 20 213 197 5 292.9552193535503 14 4 20 49 38 1 292.95426716273204 14 4 20 212 198 5 292.95443178761354 15 1 8 2 1 1 1.886237969077314 15 1 8 29 28 1 1.8842482050014595 15 1 8 47 46 1 1.8842482049953564 15 8 8 39 20 1 0.05930323550405453 15 9 9 12 9 2 5.598502642299477E-16 15 10 10 25 12 1 0.08064710040368878 16 10 10 7 5 1 1.000000000050551 16 10 10 13 8 2 1.2323975663653873E-14 16 10 10 34 32 1 1.0 16 30 30 11 10 2 1.8345833331422266E-13 16 40 40 11 10 2 1.1370678529158265E-13 17 5 33 18 15 1 0.007392492609059335 18 11 65 16 12 1 0.20034404483314397