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Questions tagged [equation-solving]

763 questions
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Solving matrix equation A B = C. with B(n* 1) and C(n *1)

I am trying to solve a matrix equation such as A.B = C. The A is the unknown matrix and i must find it. I have B(n*1) and C(n*1), so A must be n*n. I used the BT* A.T =C.T method (numpy.linalg.solve(B.T, C.T)). But it produces an…
Rabih Assaf
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How Can solve a n order Differential Equations

How can I solve the following equation? what is the h(z) (z^n+1).|h'(z)|^n=const Is it possible to use MATLAB?
Mohammad Ali Nematollahi
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Obtain only a single solution for System of Polynomials in Sage

I am trying to solve a system of polynomial equations obtained by comparing coefficients of different polynomials. # Statement of Problem: # We are attempting to find complex numbers a, b, c, d, e, J, u, v, r, s where # ((a*x + c)^2)*(x^3 + (3K)*x +…
Ivan G.
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What is the best method of solving a large system of constrained linear and non linear equations in matlab?

Solving system of constrained linear and non-linear equations in MATLAB I'm solving a FEM problem in MATLAB with use of the direct stiffness method. The problem is now formulated as a system of non linear equations: KU=F or CF=U with C =…
JPlanken
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Solving equations with more unknowns than equations

I am trying to find the unknowns of several equations but there are more unknowns than the number of equations. The code is something like this: syms x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 x17 eqn1 = 0.04*x1 + 0.04*x2 + 0.2*x3 +…
TYL
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Linear programming maximization code in MATLAB

How to solve the linear programming maximization problem that contains both <= and >= equations? For example here's a case: Maximize: z = c1x1 + c2x2 + c3x3 Subject to: a1x1 + a2x2 + a3x3 <= b1 a4x1 + a5x2 + a6x3 <= b2 x1 >= d1 x2 >= d2 x3 >=…
Tiash
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Set derivatives of a function to 0 in Python

I am trying to simultaneously solve a system of equations. The equations themselves are found by calculating the gradient of a function with some variables. I am using sympy and here is the code: from sympy import * m = Matrix(symbols('a b c',…
user1434997
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Solving linera equation AX=B in matlab

I have to solve following linear equation in Matlab AX=B for X, where A - symetric positive definite upper triangular matrix (nxn), and B is matrix (mxn). So far I have got code for solving such eqation where B is a vector. I have to change the…
hegendroffer
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how to solve simultaneous equations with solve and with result without roots

Here is the code: syms G1 G2 G3 M1 M2 M3 P1 P2 P3 D1 D2 D3 S = solve(0 == 0.9 * (20 - G1) - 0.012 * D3 * G1, ... 0 == 0.9 * (20 - G2) - 0.012 * D1 * G2, ... 0 == 0.9 * (20 - G3) - 0.012 * D2 * G3, ... 0 == -0.0033 * M1 + 0.002 *…
uNxe
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Solving symbolic system of equations in Matlab using the solve() function

I know there have been very similar questions to this on this forum and I have already gone through them and unfortunately I am not yet convinced of the result that I have achieved. I am trying to solve a system of three simultaneous equations, but…
Jamy codes
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how to find all integer solutions to sum(xi) =b, with linear constraints

Suppose sum(xi) = 10, 0<= xi <= 2, i = 1, 2, ..., 10. How to find all integer solutions for xi. thank you. I have read about Euclidean algorithm, but it looks like just for two unknown variables. What algorithms can be used here.
daydayup
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Scipy - Solving Systems of Non-linear Equations Containing CDF

I have the following system of equations (simplified version). y = x*scipy.special.gdtr(a, b, f(x,y)) x = y*scipy.speical.gdtr(c, d, f(x,y)) Here scipy.special.gdtr refers to the CDF of gamma distribution, and a, b are the corresponding two…
P.Tao
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How to use pcg with a function in MATLAB

I am going to solve an inverse problem, AX=b, using conjugate gradient method in MATLAB. I want to use pcg function in MATLAB and as I know instead of matrix A I can use a function. I have a function for example afun which has some entries. In the…
user2983136
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MATLAB solve() returns array for linear equation

I have the following equation in MATLAB: eqn1 = (1-t)*x1 + t*x2 == x; where x1,y1 = I am solving the equation as: t1 = double(solve(subs(eqn1,x,min(x_arr(i,:))),t)); and doing a comparison as: if(t1 >= 0 & t1 <= 1) …
Kanishka Ganguly
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Interpretation of these root objects

I have solved this system of equations (see below) in Mathematica for real x where the coefficients of the equations are functions of real parameters a,b and c. Mathematica then displays real solutions x with constraints on a,b and c. The…
Cavents
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