Create logarithmically spaced vector with points spaced more closely at far end of vector

Is it possible to use logspace (or some other approach) to create a logrithmically spaced vector where the points are more closely spaced at the far end of the vector? For example, for the vector x = logspace(1, 2, 100), I would like to have the points spaced more closely toward the 10^2 = 100 end of the vector. I can't be the first person to want to do this...Thanks in advance for anyone's help!

Answer 1

[Akira Agata]

Like this?

% Normal log-spaced vector
x1 = logspace(1, 2, 10);

% Create inverse log space
delta = diff(x1);
delta = fliplr(delta);

% Inversely log-spaced vector
x2 = [10, 10+cumsum(delta)];

% Check!
figure
plot(x1, 'o')
hold on
plot(x2, 'v')
legend({'x1', 'x2'}, 'Location', 'best')

[Eric Roden]

Dear Akira:

Thanks for your reply. However this is not what I have in mind. Rather I would like to create a vector with exponentially increasing values, but where the spacing between the values decreases as the values increase. There must be a way to map the vector generated with logspace onto such a modified vector, but I'm not smart enough to figure out how to do it...

Kind regards, Eric

[Akira Agata]

Hi @Eric Roden,

Thank you for your comment. Unfortunately, it's not clear for me what the expected result looks like. Could you give us a small example?

[Eric Roden]

Actually, your solution worked fine for what I needed. Many thanks!