mahmood1800

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6 years, 18 days

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PH.D in Applied Mathematics

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These are replies submitted by mahmood1800

@Carl Love 

Thank you dear Carl
A is also a column vector and I have forgotten the "T" superscript.

A and H(t) can have finite number of elements(say, n).

@Rouben Rostamian  
thanks in advance

@Kitonum 
Thanks in advance

Thanks in advance

@mahmood1800 

Hi

Sorry, i have not seen the "=" sign. ok. so we have the constraint as "A=B+C", and if we change it to "A-B-C=0", then we could have following:

>restart;
> with(Optimization):
> with(plots):
>   obj := (c0-x)^2+(c1-(2/3)*x-(1/3)*y)^2+(c2-(1/3)*x-(2/3)*y)^2+(c3-y)^2;
>  cnsts := 32*x+19*y - 15*c0+18*c1+15*c2+3*c3;
>            Minimize(obj, {cnsts=0});
where we have 


      [0., [c0 = 0., c1 = 0., c2 = 0., c3 = 0., x = 0., y = 0.]]

but i am not sure that this is true.

@Kitonum 

Dear Kitonum
thanks in advance. the program is now works correctly. that is so great.
hope you the best.
mahmood

@Kitonum 

Dear Kitonum
thanks in advance. But this reduce the same polynomials for all the subintervals. this is not true.
hope you the best

@vv 
 thanks a lot

this is the corret code...

Best wishes

 

@vv 

Hi and thanks,

My main problem is the procedure that produce the bn,m(t)'s correctly. The Fourier coefficient associated to the restriction of x(t) will be found under some constraints later.

@Thomas Richard 

Hi, thanks...I have corrected my question.

@Carl Love 

Hi

Thanks in advance.

I tried to run the above code but the following error was seen;

"Error, (in LinearAlgebra:-Transpose) invalid input: LinearAlgebra:-Transpose expects its 1st argument, A, to be of type {Matrix, Vector, scalar} but received Array(1..4, 0..2, [[...],[...],[...],[...]], datatype = anything)"

 

This is the exactly form which i need.

@Carl Love 

Thanks all in advance.

I have corrected the integral form.

Note that B(t) contains b_{i,j}(t)'s which are polynomilas. so is B(s), and my mean of integral is the correct form of  derivative and product to transpose  in piecewise functions.

@Rouben Rostamian  

Thanks a lot. it works great..

Thanks a lot for your nice comments

Please look to following example with same commands but true answer

NonLinearOTB3.mws

 best wishes

Mahmood   Dadkhah

Ph.D Candidate

Applied Mathematics Department

@acer 

Dear Acer,

Hi and so thanks for your nice and astute answer. That is the most correct answer for me and i am gareful of your guides.

Best wishes

Mahmood

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