MATLAB: Implementation of a matrix

matrix

Hello!

I want to implement a function, which has n as an input an outputs the following matrix:

Can someone help me please?

Best Answer

You haven't told us what x and e are, but assuming x is a vector and e is a scalar, simply this:

result = cos( (1:n) .* x(:) * e )

Related Solutions

MATLAB: GA algorithm toolbox (define constraint)

This kind of system can be programmed by introducing up to 4 new integer variables, with the logical conditions

x1 == x6 * x4
x1 == x7 * x5
x2 == x8 * x4
x2 == x9 * x5

You would then follow that by reducing the original equations, replacing each x1 by x6 * x4 and each x2 by x8 * x4 everywhere the equations,

Then you would add the nonlinear equality constraints

x6 * x4 - x7 * x5
x8 * x4 - x9 * x5

The list of variables would be x3, x4, x5, x6, x7, x8, x9 with x4 through x9 all integer variables (so x3 is the only non-integer variable.)

I know your original list did not require x5 to be integer, but your integer constraints on the other variables require that x5 be integer, I figure.

MATLAB: FSOLVE requires all values returned by functions to be of data type double.

If you want to solve a system of equations symbolically or using symbolic variables, use the solve function instead of fsolve. The fsolve function requires that the output of the function you specify as the first input be double precision numbers, not symbolic expressions.

If you must use fsolve with symbolic variables inside the function, you must convert those symbolic expressions into numbers using double before returning the numbers (not the symbolic expressions) from the function.

As a very simple example, put all this code into a function example373677.m and run it:

function y = example373677
y = fsolve(@mysubfun, 3);
 
function z = mysubfun(q)
x = sym('x');
r = x.^3-2*x-5;
z = double(subs(r, q));

Of course, with solve this is easier.

syms x
y = solve(x.^3-2*x-5)

You may need to use vpa to approximate y numerically.

vpa(y)

One of the solutions returned in y should match the result you received from running the function.

Best Answer

Related Solutions

MATLAB: GA algorithm toolbox (define constraint)

MATLAB: FSOLVE requires all values returned by functions to be of data type double.

Related Question