Mixing
convergence criteria for system of non-linear equations
$begingroup$
I have these two non-linear equations which I am able to solve using any good software like MATLAB/Mathematica but I need to find the conditions of convergence. How do I proceed on that ??
1) $(x-k_0)e^{t_0/x}-(y-k_0)e^{t_0/y}-(x-y)=k_1e^{t_0({1/x}+{1/y})}(x(1-e^{-t_0/x})-y(1-e^{-t_0/y}))$
2) $x-(x+k_2)e^{-t_1/x}=y-(y+k_2)e^{-t_1/y}$
Where $k_0,k_1,k_2,t_0,t_1$ are all positive real constants none of which are zero.
systems-of-equations nonlinear-system
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
$endgroup$
add a comment |
$begingroup$
I have these two non-linear equations which I am able to solve using any good software like MATLAB/Mathematica but I need to find the conditions of convergence. How do I proceed on that ??
1) $(x-k_0)e^{t_0/x}-(y-k_0)e^{t_0/y}-(x-y)=k_1e^{t_0({1/x}+{1/y})}(x(1-e^{-t_0/x})-y(1-e^{-t_0/y}))$
2) $x-(x+k_2)e^{-t_1/x}=y-(y+k_2)e^{-t_1/y}$
Where $k_0,k_1,k_2,t_0,t_1$ are all positive real constants none of which are zero.
systems-of-equations nonlinear-system
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
$endgroup$
add a comment |
$begingroup$
I have these two non-linear equations which I am able to solve using any good software like MATLAB/Mathematica but I need to find the conditions of convergence. How do I proceed on that ??
1) $(x-k_0)e^{t_0/x}-(y-k_0)e^{t_0/y}-(x-y)=k_1e^{t_0({1/x}+{1/y})}(x(1-e^{-t_0/x})-y(1-e^{-t_0/y}))$
2) $x-(x+k_2)e^{-t_1/x}=y-(y+k_2)e^{-t_1/y}$
Where $k_0,k_1,k_2,t_0,t_1$ are all positive real constants none of which are zero.
systems-of-equations nonlinear-system
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
$endgroup$
I have these two non-linear equations which I am able to solve using any good software like MATLAB/Mathematica but I need to find the conditions of convergence. How do I proceed on that ??
1) $(x-k_0)e^{t_0/x}-(y-k_0)e^{t_0/y}-(x-y)=k_1e^{t_0({1/x}+{1/y})}(x(1-e^{-t_0/x})-y(1-e^{-t_0/y}))$
2) $x-(x+k_2)e^{-t_1/x}=y-(y+k_2)e^{-t_1/y}$
Where $k_0,k_1,k_2,t_0,t_1$ are all positive real constants none of which are zero.
systems-of-equations nonlinear-system
systems-of-equations nonlinear-system
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
edited Feb 2 at 15:54
Trusna Meher
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
asked Jan 31 at 15:44
Trusna MeherTrusna Meher
13
13
add a comment |
add a comment |
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