CODEWITHSUNDEEP
matlabfunction
Train Heartnet
Train Heartnet

Reputation: 815

How do I integrate a matrix function in Matlab?

Let's say I have a function which takes a real number x and returns a matrix M(x). How do I evaluate the following?

enter image description here

As an example, the function I'm trying to integrate is given by:-

enter image description here

Here, k is a constant and A is a matrix.

I tried using the int function, but it seems to work only for scalar functions. I'm new to Matlab. Could someone help me out?

Upvotes: 2

Views: 2164

Answers (1)

Nikos M.
Nikos M.

Reputation: 8325

Matlab (latest, 2015) provides the integral function to numericaly compute integrals of functions

For functions that have a multi-dimensional domain (e.g matrix-valued functions) you can use the 'ArrayValued',true option

Vector-Valued Function

Create the vector-valued function

f(x) = [sin x, sin 2x, sin 3x, sin 4x, sin 5x]

and integrate from x=0 to x=1. Specify 'ArrayValued',true to evaluate the integral of an array-valued or vector-valued function.

fun = @(x)sin((1:5)*x);
q = integral(fun,0,1,'ArrayValued',true)

q =

0.4597    0.7081    0.6633    0.4134    0.1433

Alternatively, you can integrate the matrix-valued function element-wise, i.e per-element using loops, plus, one can also try to vectorize the operation to one without-loops (for example see here)

related question on scicomp.se

Upvotes: 1

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