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### Generic Symbolic function as input in actual funciton

So I have this assignment for university, and I'm trying to write a generic Newton's method which will take any symbolic function as input. I just don't know how to declare this on the function's inputs. Here's the function I want as input:

f(x) = 14 * x * exp(x-2) - 12 * exp(x-2) - 7 * x^3 + 20 * x^2 - 26 * x + 12


and here's the function I want to create:

def Newton_Raphson(foo, start):
dfoo = diff(foo)
ddfoo = diff(dfoo)
t0 = time.time()
while foo(start) * ddfoo(start) <= 0:
start = start + 10^-6
NR = start - foo(start) / dfoo(start);
noNR = 1;
while abs(foo(NR)) > 10^-6:
NR = start - foo(start)/dfoo(start);
start = NR;
error = (NR - start);
noNR = noNR + 1;
t1 = time.time()
tNR = t1 - t0
return NR, noNR, error, tNR


Any ideas on this? Also do you have any other suggestions on this code?

### Generic Symbolic function as input in actual funciton

So I have this assignment for university, and I'm trying to write a generic Newton's method which will take any symbolic function as input. I just don't know how to declare this on the function's inputs. Here's the function I want as input:

f(x) = 14 * x * exp(x-2) - 12 * exp(x-2) - 7 * x^3 + 20 * x^2 - 26 * x + 12


and here's the function I want to create:

def Newton_Raphson(foo, start):
dfoo = diff(foo)
ddfoo = diff(dfoo)
t0 = time.time()
while foo(start) * ddfoo(start) <= 0:
start = start + 10^-6
NR = start - foo(start) / dfoo(start);
noNR = 1;
while abs(foo(NR)) > 10^-6:
NR = start - foo(start)/dfoo(start);
start = NR;
error = (NR - start);
noNR = noNR + 1;
t1 = time.time()
tNR = t1 - t0
return NR, noNR, error, tNR


Any ideas on this? Also do you have any other suggestions on this code?

### Generic Symbolic function as input in actual funciton

So I have this assignment for university, and I'm trying to write a generic Newton's method which will take any symbolic function as input. I just don't know how to declare this on the function's inputs. Here's the function I want as input:

f(x) = 14 * x * exp(x-2) - 12 * exp(x-2) - 7 * x^3 + 20 * x^2 - 26 * x + 12


and here's the function I want to create:

def Newton_Raphson(foo, start):
dfoo = diff(foo)
ddfoo = diff(dfoo)
t0 = time.time()

while foo(start) * ddfoo(start) <= 0:
start = start + += 10^-6

NR = start - foo(start) / dfoo(start);
noNR = 1;

while abs(foo(NR)) > 10^-6:
NR = start - foo(start)/dfoo(start);
start = NR;
error = (NR - start);
noNR = noNR + += 1;

t1 = time.time()
tNR = t1 - t0
return NR, noNR, error, tNR


Any ideas on this? Also do you have any other suggestions on this code?

### Generic Symbolic function as input in actual funciton

So I have this assignment for university, and I'm trying to write a generic Newton's method which will take any symbolic function as input. I just don't know how to declare this on the function's inputs. Here's the function I want as input:

f(x) = 14 * x * exp(x-2) - 12 * exp(x-2) - 7 * x^3 + 20 * x^2 - 26 * x + 12


and here's the function I want to create:

def Newton_Raphson(foo, start):
dfoo = diff(foo)
ddfoo = diff(dfoo)
t0 = time.time()

while foo(start) * ddfoo(start) <= 0:
start += 10^-6

NR = start - foo(start) / dfoo(start);
dfoo(start)
noNR = 1;
1

while abs(foo(NR)) > 10^-6:
NR = start - foo(start)/dfoo(start);
start = NR;
foo(start)/dfoo(start)
start = NR
error = (NR - start);
start)
noNR += 1;
1

t1 = time.time()
tNR = t1 - t0
return NR, noNR, error, tNR


Any ideas on this? Also do you have any other suggestions on this code?

 5 retagged tmonteil 21058 ●25 ●151 ●389 http://wiki.sagemath.o...

### Generic Symbolic function as input in actual funciton

So I have this assignment for university, and I'm trying to write a generic Newton's method which will take any symbolic function as input. I just don't know how to declare this on the function's inputs. Here's the function I want as input:

f(x) = 14 * x * exp(x-2) - 12 * exp(x-2) - 7 * x^3 + 20 * x^2 - 26 * x + 12


and here's the function I want to create:

def Newton_Raphson(foo, start):
dfoo = diff(foo)
ddfoo = diff(dfoo)
t0 = time.time()

while foo(start) * ddfoo(start) <= 0:
start += 10^-6

NR = start - foo(start) / dfoo(start)
noNR = 1

while abs(foo(NR)) > 10^-6:
NR = start - foo(start)/dfoo(start)
start = NR
error = (NR - start)
noNR += 1

t1 = time.time()
tNR = t1 - t0
return NR, noNR, error, tNR


Any ideas on this? Also do you have any other suggestions on this code?