Multi Objective nonlinear functions with unknown multi parameters
조회 수: 1 (최근 30일)
이전 댓글 표시
Dear Matlabers,
Lets say my system of equations are as below:
((1-x(1))*(10+x(5)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.154;
((1-x(1))*(10-x(5)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.254;
(x(1)*(10+x(4)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.545;
(x(1)*(10-x(4)))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.034;
(10+(x(1)*x(4))+(1-x(1))*x(5))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.994;
(10-(x(1)*x(4))-(1-x(1))*x(5))^2/(((x(1)^2)*x(3)^2)+((1-x(1))^2*x(2)^2)) = 0.063;
and I want to find x(1) ... x(5) values so that the equalities hold.
I already tried so many optimization methods but the problem is, after finding the values when I replace them with x values the error values I came across are very large.
Any help is appreciated..
Best,
댓글 수: 10
Torsten
2019년 7월 23일
lsqnonlin is especially designed to solve problems like yours, but you are of course free in the choice of the optimizer.
답변 (1개)
Alex Sha
2019년 8월 28일
There are multi-solutions:
1:
x1: 0.387245311047365
x2: -0.00972723068513297
x3: -40.2902696169456
x4: 18.9579782048437
x5: -2.65707955299356
2:
x1: 0.387245311627332
x2: 7.2906925850934
x3: 38.6033440479639
x4: 18.9579781524691
x5: -2.65707955385685
3:
x1: 0.387245311366753
x2: -24.1738267443381
x3: 12.6548907569997
x4: 18.9579781707223
x5: -2.65707955330091
댓글 수: 0
참고 항목
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!