using fsolve to solve non-linear equations in matlab
I'm trying to solve this system equations in matlab
syms y z i
x=[29.6,29.4,34.4,35.1,34.3,36.1,31.6,32.9,31.5,28.3,37.1,28.4,27.3,33.1,31.3,33.1]
n = 16
eqns = sym(zeros(1, 2 * n));
for i = 1:n
a = 0;
for j = 1:i
a = a + exp(-((x(j) - y) / z));
end
a = i/z - a/z;
eqns(i) = a == 0;
end
for i = 1:n
a = 0;
for j = 1:i
a = a + ((x(j) - y)/z^2) - ((x(i) - y)/z^2) * exp((-x(j) + y)/z);
end
a = -i/z + a;
eqns(i + 16) = a == 0;
end
eqns
solve(eqns, [y, z])
But it seems solve
can't solve this one.
Warning: Cannot find explicit solution.
> In solve (line 316)
In xx (line 24)
I tried to use fslove but by follow the tutorial at https://www.mathworks.com/help/optim/ug/fsolve.html?s_tid=gn_loc_drop
but when I tried to enter
function F = root2d(x)
F(1) = exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);
F(2) = x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5;
matlab throw error.
Can someone please help me?
Thank you.
P/S: Can this problem be solved with singular?I'm trying to solve this system equations in matlab
systems-of-equations matlab singular-cas
add a comment |
I'm trying to solve this system equations in matlab
syms y z i
x=[29.6,29.4,34.4,35.1,34.3,36.1,31.6,32.9,31.5,28.3,37.1,28.4,27.3,33.1,31.3,33.1]
n = 16
eqns = sym(zeros(1, 2 * n));
for i = 1:n
a = 0;
for j = 1:i
a = a + exp(-((x(j) - y) / z));
end
a = i/z - a/z;
eqns(i) = a == 0;
end
for i = 1:n
a = 0;
for j = 1:i
a = a + ((x(j) - y)/z^2) - ((x(i) - y)/z^2) * exp((-x(j) + y)/z);
end
a = -i/z + a;
eqns(i + 16) = a == 0;
end
eqns
solve(eqns, [y, z])
But it seems solve
can't solve this one.
Warning: Cannot find explicit solution.
> In solve (line 316)
In xx (line 24)
I tried to use fslove but by follow the tutorial at https://www.mathworks.com/help/optim/ug/fsolve.html?s_tid=gn_loc_drop
but when I tried to enter
function F = root2d(x)
F(1) = exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);
F(2) = x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5;
matlab throw error.
Can someone please help me?
Thank you.
P/S: Can this problem be solved with singular?I'm trying to solve this system equations in matlab
systems-of-equations matlab singular-cas
Yourfsolve
code doesn't match the system of 32 equations you're trying to solve symbolically. It's not clear what you're trying to do. I'm also not sure why you're usingi
as a symbolic variable and the re-defining it in yourfor
loops.
– horchler
Mar 8 '17 at 19:59
add a comment |
I'm trying to solve this system equations in matlab
syms y z i
x=[29.6,29.4,34.4,35.1,34.3,36.1,31.6,32.9,31.5,28.3,37.1,28.4,27.3,33.1,31.3,33.1]
n = 16
eqns = sym(zeros(1, 2 * n));
for i = 1:n
a = 0;
for j = 1:i
a = a + exp(-((x(j) - y) / z));
end
a = i/z - a/z;
eqns(i) = a == 0;
end
for i = 1:n
a = 0;
for j = 1:i
a = a + ((x(j) - y)/z^2) - ((x(i) - y)/z^2) * exp((-x(j) + y)/z);
end
a = -i/z + a;
eqns(i + 16) = a == 0;
end
eqns
solve(eqns, [y, z])
But it seems solve
can't solve this one.
Warning: Cannot find explicit solution.
> In solve (line 316)
In xx (line 24)
I tried to use fslove but by follow the tutorial at https://www.mathworks.com/help/optim/ug/fsolve.html?s_tid=gn_loc_drop
but when I tried to enter
function F = root2d(x)
F(1) = exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);
F(2) = x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5;
matlab throw error.
Can someone please help me?
Thank you.
P/S: Can this problem be solved with singular?I'm trying to solve this system equations in matlab
systems-of-equations matlab singular-cas
I'm trying to solve this system equations in matlab
syms y z i
x=[29.6,29.4,34.4,35.1,34.3,36.1,31.6,32.9,31.5,28.3,37.1,28.4,27.3,33.1,31.3,33.1]
n = 16
eqns = sym(zeros(1, 2 * n));
for i = 1:n
a = 0;
for j = 1:i
a = a + exp(-((x(j) - y) / z));
end
a = i/z - a/z;
eqns(i) = a == 0;
end
for i = 1:n
a = 0;
for j = 1:i
a = a + ((x(j) - y)/z^2) - ((x(i) - y)/z^2) * exp((-x(j) + y)/z);
end
a = -i/z + a;
eqns(i + 16) = a == 0;
end
eqns
solve(eqns, [y, z])
But it seems solve
can't solve this one.
Warning: Cannot find explicit solution.
> In solve (line 316)
In xx (line 24)
I tried to use fslove but by follow the tutorial at https://www.mathworks.com/help/optim/ug/fsolve.html?s_tid=gn_loc_drop
but when I tried to enter
function F = root2d(x)
F(1) = exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);
F(2) = x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5;
matlab throw error.
Can someone please help me?
Thank you.
P/S: Can this problem be solved with singular?I'm trying to solve this system equations in matlab
systems-of-equations matlab singular-cas
systems-of-equations matlab singular-cas
asked Mar 8 '17 at 3:05
Lan Anh NguyễnLan Anh Nguyễn
11
11
Yourfsolve
code doesn't match the system of 32 equations you're trying to solve symbolically. It's not clear what you're trying to do. I'm also not sure why you're usingi
as a symbolic variable and the re-defining it in yourfor
loops.
– horchler
Mar 8 '17 at 19:59
add a comment |
Yourfsolve
code doesn't match the system of 32 equations you're trying to solve symbolically. It's not clear what you're trying to do. I'm also not sure why you're usingi
as a symbolic variable and the re-defining it in yourfor
loops.
– horchler
Mar 8 '17 at 19:59
Your
fsolve
code doesn't match the system of 32 equations you're trying to solve symbolically. It's not clear what you're trying to do. I'm also not sure why you're using i
as a symbolic variable and the re-defining it in your for
loops.– horchler
Mar 8 '17 at 19:59
Your
fsolve
code doesn't match the system of 32 equations you're trying to solve symbolically. It's not clear what you're trying to do. I'm also not sure why you're using i
as a symbolic variable and the re-defining it in your for
loops.– horchler
Mar 8 '17 at 19:59
add a comment |
1 Answer
1
active
oldest
votes
It's not clear what the problem is without being given the error, but:
F=@(x) [exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5];
x0=[1;1];
fsolve(F,x0)
worked for me. You can do this using "function F = ..." syntax, but then you need to write @F in the call to fsolve.
add a comment |
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1 Answer
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1 Answer
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votes
It's not clear what the problem is without being given the error, but:
F=@(x) [exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5];
x0=[1;1];
fsolve(F,x0)
worked for me. You can do this using "function F = ..." syntax, but then you need to write @F in the call to fsolve.
add a comment |
It's not clear what the problem is without being given the error, but:
F=@(x) [exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5];
x0=[1;1];
fsolve(F,x0)
worked for me. You can do this using "function F = ..." syntax, but then you need to write @F in the call to fsolve.
add a comment |
It's not clear what the problem is without being given the error, but:
F=@(x) [exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5];
x0=[1;1];
fsolve(F,x0)
worked for me. You can do this using "function F = ..." syntax, but then you need to write @F in the call to fsolve.
It's not clear what the problem is without being given the error, but:
F=@(x) [exp(-exp(-(x(1)+x(2)))) - x(2)*(1+x(1)^2);x(1)*cos(x(2)) + x(2)*sin(x(1)) - 0.5];
x0=[1;1];
fsolve(F,x0)
worked for me. You can do this using "function F = ..." syntax, but then you need to write @F in the call to fsolve.
answered Mar 8 '17 at 3:36
IanIan
67.4k25387
67.4k25387
add a comment |
add a comment |
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Your
fsolve
code doesn't match the system of 32 equations you're trying to solve symbolically. It's not clear what you're trying to do. I'm also not sure why you're usingi
as a symbolic variable and the re-defining it in yourfor
loops.– horchler
Mar 8 '17 at 19:59