How to use a solver function to solve matrix?

1 次查看（过去 30 天）
zephyr21
zephyr21 2016-6-12
回答： Ayush 2024-10-3
So I have an equation that goes something like N.*P + S.*P + E.*P + W.*P = Q N S E and W are coefficients, P is pressure changing with time. In terms of [A]*[x]=[b] its supposedly [coefficients]*[Pressure]=[Q]. How would I use a solver to translate the equation into these matrix terms?
  1 个评论
zephyr21
zephyr21 2016-6-12
Another way to phrase my question, how would I populate the A,x, and b matrices?

请先登录，再进行评论。

请先登录，再回答此问题。

回答（1 个）

Ayush
Ayush 2024-10-3
Hi @zephyr21
The matrix form [A]*[x]=[b] translates to:
  • [A] is the matrix of coefficients.
  • [x] is the vector of unknowns (in your case, the pressure P).
  • [b] is the vector of constants (in your case, Q).
Assuming you have multiple such equations, you would set them up as follows:
  1. Define the coefficients matrix [A]: Each row represents the coefficients of a single equation.
  2. Define the vector [b]: Each element represents the right-hand side of an equation.
  3. Solve for [x]: Use MATLAB's matrix division or other solvers to find [x].
% Define the coefficients matrix [A]
% Each row corresponds to one equation
A = [
N1 + S1 + E1 + W1;
N2 + S2 + E2 + W2;
N3 + S3 + E3 + W3;
% Add more equations as needed
];
% Define the vector [b]
% Each element corresponds to the Q value of an equation
b = [
Q1;
Q2;
Q3;
% Add more Q values as needed
];
% Solve for [x] using the backslash operator
% This finds the vector of pressures [P]
x = A \ b;
% Display the result
disp('The pressures P are:');
disp(x);
I hope it helps!

类别

在 Help Center 和 File Exchange 中查找有关 Programming 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by