by **m_labbaf** » Thu Aug 13, 2015 6:56 am

Thanks for your advice,

I want to create a real-time circuit simulator using Epiphany, so I have a linear circuit that should solved in many steps and find the output.

for each circuit I write nodal equation (the size of nodal matrix is dependent to circuit topology) and solve it in every time-step. It's important to has low time-step(below 1us).

So in every time-step nodal matrix and input vector are updated and based on their values output (x vector) calculated.

A matrix and b vector is completely related to x result from previous step, so each step should solve independently.

I was thought about writing 8 equation with 52 variable that variables updated in each step, but it seems has some problem. First, it doesn't seems that equation has good forms for implementation. Second, it is limited to 8x8 matrix that could change for other application(changing circuit topology).

In this matrix all element are real number and I don't has any complex number. I don't know if projective space can help or not.