Solve a matrix that has nonlinear coefficients
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I am trying to solve a matrix that has the following form,
f(T_n) * T_(n-1) - T_n + f(T_n) * T(n+1) = f(T_n)
How this should be handled?
采纳的回答
If the coefficients contain the unknowns, a matrix representation of your system of equations leads you nowhere.
Write your system of equations in the unknowns T_n as a system of algebraic equations G(T) = 0 and use "fsolve" to solve.
2 个评论
Ali Aykut
2023-10-9
Thank you, I thought there was a way to solve with matrix representation.
The matrix representation of the equations is only useful if the matrix coefficients and the right-hand side are constant.
Sometimes it's necessary to use fixedpoint iteration
T^(i+1) = A(T^i)*T^i + b(T_i) (i: iteration index)
with T = (T(1),...,T(n)) if n is large, but if possible solve A(T)*T + b(T) - T = 0 using "fsolve". This will be much more efficient.
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