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Solution of an overdetermined system of equations

AlgLib Solver for a system of nonlinear equations(Uni) result k 1 x f rows range u k el x k el : for x Jac u f u Jacobian : StepMax 0 : Eps 1014 -^: u X0 StepMax Eps x f x Jac al_nleqsolve : 51 line :

X0 10020030010101016 mat transpose :

x b Ua ia 2 x 3 el / 1 x 2 el / Ua * 1 x 2 el 1 x 1 el / x 6 el b + x 4 el Ua 2^+ sqrt / + (* exp + ln * (x 5 el^* :

Solver function x f x 040 ia 1.044 0.001 * - x 0120 ia 2.679 0.001 * - x 0210 ia 4.749 0.001 * - x 0.5 - 20 ia 0.18 0.001 * - x 0.5 - 120 ia 1.66 0.001 * - x 0.5 - 240 ia 4.3 0.001 * - x 1 - 40 ia 0.132 0.001 * - x 1 - 150 ia 1.278 0.001 * - x 1 - 270 ia 3.779 0.001 * - x 1.5 - 60 ia 0.032 0.001 * - x 1.5 - 180 ia 0.935 0.001 * - x 1.5 - 300 ia 3.333 0.001 * - 121 mat :

result 100.8584 1038.0941 2037.1068 407.5965 1.5433 0.7167 61 mat

result f 6.4545 106 -^* - 4.2665 105 -^* - 4.8754 105 -^* 1.4972 105 -^* 3.4287 106 -^* - 2.1608 105 -^* - 8.2336 105 -^* - 3.3747 105 -^* 9.866 107 -^* - 3.1778 105 -^* - 5.7125 105 -^* 3.4146 105 -^* - 121 mat