The nonlinear-algebra tag has no wiki summary.
0
votes
1answer
24 views
How do I extrapolate data from a NON-LINEAR (logarithmic) standard curve in Excel?
I have made a standard curve. The X-axis is logarithmic. The y-axis is linear.
I have added a logarithmic trendline
(y = -1.546ln(x) + 39.254; R² = 0.9906).
How can I re-arrange the equation to ...
3
votes
1answer
65 views
How to pick a basis for the result of a non-linear function given a basis for its argument
I am trying to represent the result of a non-linear function in a small basis, given another small basis that does a good job a representing the argument of the function.
More specifically, there ...
5
votes
3answers
259 views
Convergence of fixed point iterations of a non-linear matrix system
I'm working on modeling two phase immiscible flow in a porous medium. When I setup the system of equations, I obtain a non-linear system of equations that can be expressed in the form:
$A(x)x=b$
...
5
votes
2answers
300 views
Solution of quartic equation
Is there a open C-implementation for the solution of quartic equations:
$$ax⁴+bx³+cx²+dx+e=0$$
I am thinking of an implementation of Ferrari's solution. On Wikipedia I read that the solution is ...
7
votes
5answers
275 views
Iterative solution to a nonlinear equation
I appologize in advance if this question is silly.
I need to compute the root of
\begin{equation}
u -f(u) =0
\end{equation}
Where $u$ is a real vector and $f(u)$ is a real-vector valued function.
...
5
votes
2answers
146 views
Basin of attraction for Newton's method
Newton's method for solving nonlinear equations is known to converge quadratically when the starting guess is "sufficiently close" to the solution.
What is "sufficiently close"?
Is there literature ...
