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Hossein SOLEIMANI

E-mail: hossn.soleimani@gmail.com

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Comments and Ratings by Hossein		View all 1 - 4 of 4
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03 Jun 2009	LMFnlsq - Solution of nonlinear least squares Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations Author: Miroslav Balda	Hi how can I give an interval for the results, i don't need negative values for answers or I need some answers higher than some values, you also helped me before Mira thanks.
18 May 2009	LMFsolve.m: Levenberg-Marquardt-Fletcher algorithm for nonlinear least squares problems LMFsolve.m finds least-squares solution of an overdetermined system of nonlinear equations Author: Miroslav Balda
18 May 2009	LMFsolve.m: Levenberg-Marquardt-Fletcher algorithm for nonlinear least squares problems LMFsolve.m finds least-squares solution of an overdetermined system of nonlinear equations Author: Miroslav Balda
18 May 2009	LMFsolve.m: Levenberg-Marquardt-Fletcher algorithm for nonlinear least squares problems LMFsolve.m finds least-squares solution of an overdetermined system of nonlinear equations Author: Miroslav Balda	Hi I want to solve a set of nonlinear equations that has a degree of freedom of 4 , and I want to use the experimental data in order to find the best results. 1. I have read the explanation about the FUN and I dont know how to put the funtions and also where I should include my experimental data? please help me, regards

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fletcher, integration, levenberg, trapezoidal

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11 Feb 2009		LMFsolve.m: Levenberg-Marquardt-Fletcher algorithm for nonlinear least squares problems LMFsolve.m finds least-squares solution of an overdetermined system of nonlinear equations Author: Miroslav Balda	fletcher, optimization, levenberg, overdetermined, marquardt, nonlinear least squar...	123	13	4.25 4.2 \| 9 ratings
13 Oct 2006		Fast Trapezoidal Integration Similar to TRAPZ but (up to) 16x-times faster. Equally spaced data NOT required. Author: Umberto Picchini	integration, trapezoidal, mex, fast, quick	3	3	3.75 3.8 \| 4 ratings

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25 Feb 2012		LMFnlsq - Solution of nonlinear least squares Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations Author: Miroslav Balda	fig and separator, optimization, marquardt, levenberg, least squares, fletcher	134	37	4.57143 4.6 \| 27 ratings
11 Feb 2009		LMFsolve.m: Levenberg-Marquardt-Fletcher algorithm for nonlinear least squares problems LMFsolve.m finds least-squares solution of an overdetermined system of nonlinear equations Author: Miroslav Balda	fletcher, optimization, levenberg, overdetermined, marquardt, nonlinear least squar...	123	13	4.25 4.2 \| 9 ratings

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09 Apr 2013	LMFnlsq - Solution of nonlinear least squares Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations	Miroslav Balda	@Jose Yes, your residuals are in order, but the brackets. However, we apply penalty functions in case, when we want to constrain a solution. Your proposal does not influence the solution at all, because all iterations remain in the square of the side = 4. You may try what happens, if you introduce bounds +-0.5 or +-0.25. Try it. Or look at the example from LMFnlsqtest file, where is more complex (circular) area, where the solution should be. Weights are active only for current iteration outside bounds. It means, that it is not necessary to try to find "optimal" weights, because no optimal weight exists. The solution should be insensitive to the weight value. Therefore, only residuals corresponding penalty functions have to generate bigger residuals than other equations to keep iterations within bounds, where they are zero.. It may be very fast to guess that w=(10 up to 1000) could be appropriate. The final solution may not depend on the right value of the weight.	Comment only
07 Apr 2013	LMFnlsq - Solution of nonlinear least squares Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations	Jose	Dear Prof. Balda, Thank you so much, I understand it better now! For the bounded Rosenbrock problem: -2 <= x[1] <= 2 -2 <= x[2] <= 2 We need 4 penalty functions: (x[1]>2)(x[1]-2)w2, (x[1]<-2)(x[1]+2)w2, (x[2]>2)(x[2]-2)w2, (x[2]<-2)(x[2]+2)w2 And we try several values for w2, for example 0.1, 0.2, 0.4, ..., 1.9 to get the "best" value for w2. Is this correct?	Comment only
04 Apr 2013	LMFnlsq - Solution of nonlinear least squares Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations	Miroslav Balda	@Jose 3.4.2013 No, it can not operate due to three reasons: 1. Formally, the chosen interval does not reduce the domain of feasible solution, that is within the interval. However, the most important reasons are: 2. your condition (x(2)>2)(x(2)<-2)x(2)w2 is a combination of two conditions. Thus you have to set up two residuals: (x(2)>2)(x(2)-2)w2; (x(2)<-2)(x(2)+2)*w2; Both residuals are zero for false condition, however they are linearly dependent on the distance from the limit value due to the second term (before the weight w2). 3. your proposed condition is identically equal zero, because the product of two logical terms equals zero for any x. The weight w2 should be chosen carefully in such a way that it gives the solution just on the limit in case when the minimum lays outside the interval. It should be not to small and simultaneously not too large.	Comment only
03 Apr 2013	LMFnlsq - Solution of nonlinear least squares Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations	Jose	Dear Prof. Balda, Thank you for your reply. So, for the Rosenbrock problem with bounds: -2 <= x <= 2 The penalty function is: (x(2) > 2)(x(2) < -2)x(2)*w2 What is the best way to find experimentally w2?	Comment only
02 Apr 2013	LMFnlsq - Solution of nonlinear least squares Efficient and stable Levenberg-Marquard-Fletcher method for solving of nonlinear equations	Miroslav Balda	@Kat I am preparing the function npeaks.m that decomposes a function into a sum of Gaussian functions with the use of LMFnlsq function. It will occur in a short time. @Jose Bounds can be introduced by additional residuals in the form of penalty functions. The residual (x(4)<0)x(4)w4 will keep x(4) nonnegative, if the user-defined weight w4 be suitable positive real value. It should be found experimentally.	Comment only