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### Roots of zeros dimensional system of polynomial equations

I have a zeros dimensional system of polynomial equations with as many equations as variables (10 equations and 10 variables) and monomials have degree at most 7. My goal consists in computing all its ...
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### Solving system of 7 nonlinear algebraic equations symbolically

I have a system of seven nonlinear equations that I want to find their symbolic solutions. The solution will depend on the parameter K, and I should have different solutions by varying the parameter. ...
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I want to solve 7 pde's that are functions of time, radius(j) and length(i). I used the method of lines and converted them to a system of odes in time and it becomes something like this: $$dy/dt=((y(i,... 1answer 80 views ### Solving this nonlinear system of equations Suppose I have this set of equations:$$a = x + z\qquad (1)b = y + \frac{z}{2}\qquad (2) z = k_0x\sqrt{y}\qquad (3)$$Where a, b \in \mathbb{R} and k_0 > 0. The values of a ... 1answer 73 views ### Solving a pair of high-degree polynomials in two variables with Maple I have two algebraic equations I am trying to solve in Maple. They are: 14\,{a}^{26}{b}^{2}-91\,{a}^{24}{b}^{4}-364\,{a}^{22}{b}^{6}-1001\,{a} ^{20}{b}^{8}-2002\,{a}^{18}{b}^{10}-3003\,{a}^{16}{b}^{... 2answers 117 views ### Solving a system of polynomial equations with multiple variables I have a system of equations of the form:$$ l_i^T l_j \cdot m_i^T m_j - m_i^T R l_j \cdot l_i R^T m_j = 0$$where R \in \mathbb{R}^{3\times3} is an unknown rotation matrix. l_i, l_j, m_i, m_j \in ... 1answer 785 views ### System of nonlinear equations in MATLAB I've got some problems solving (numerically) this system of equations. \begin{array}{l} 40 \cdot \cos (2t) + 105 \cdot \cos ({\theta _3}) - 75 \cdot \cos ({\theta _4}) - 91.924 \cdot \cos ({337.62}) =... 0answers 62 views ### Estimating eigenvalues from time-dependent non-linear operator I have a very sparse non-linear system N(u) = 0 that can be solved as a time-dependent ODE, \frac{du}{dt} = N(u), and explicitly integrated until \frac{du}{dt} = N(u) = 0, e.g. by forward euler, ... 1answer 5k views ### How do I extrapolate data from a NON-LINEAR (logarithmic) standard curve in Excel? I have made a standard curve. The X-axis is logarithmic. The y-axis is linear. I have added a logarithmic trendline (y = -1.546ln(x) + 39.254; R² = 0.9906). How can I re-arrange the equation to ... 1answer 78 views ### How to pick a basis for the result of a non-linear function given a basis for its argument I am trying to represent the result of a non-linear function in a small basis, given another small basis that does a good job a representing the argument of the function. More specifically, there ... 3answers 955 views ### Convergence of fixed point iterations of a non-linear matrix system I'm working on modeling two phase immiscible flow in a porous medium. When I setup the system of equations, I obtain a non-linear system of equations that can be expressed in the form: A(x)x=b ... 2answers 2k views ### Solution of quartic equation Is there a open C-implementation for the solution of quartic equations:$$ax⁴+bx³+cx²+dx+e=0 I am thinking of an implementation of Ferrari's solution. On Wikipedia I read that the solution is ...
I appologize in advance if this question is silly. I need to compute the root of $$u -f(u) =0$$ Where $u$ is a real vector and $f(u)$ is a real-vector valued function. ...