MATLAB: Two identical commands take different times to run

advanced programmingmemoryspeed

I am running this function inside a bigger script:

K11 and K12 are just the same Matrix at start. I have two questions now:

Why is line 11 taking much more than 9? It is the exact same command
Why removing columns is much easier than removing rows?

Best Answer

Good questions!

K11 and K12 are just references to K, they have not been copied in memory. When you change it, the reference needs to be severed and the memory copy needs to happen. That's why 9 and 11 are slower because you're also timing the memory copy.
As for columns v. rows, MATLAB is column major; i.e. arrays are stored columnwise in memory. Thus there are fewer operations required to operate on columns because columns are contiguous in memory whereas rows are separate elements.

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MATLAB: Random matrix with maximum values.

You could do this:

w = floor(sqrt(30))
rows = 1 : w
counter = 1;
for k = 1 : length(rows)
	columns(k) = floor(30/rows(k));
	for col = 1 : columns(k)
		fprintf('For %d rows, and %d columns, there are %d elements.\n',...
			rows(k), col, rows(k) * col);
		allMatrices{counter} = rand(rows(k), col);
		counter = counter + 1;
	end
end

You'll get every possible matrix size with 30 or fewer elements in it. And each one will be a cell in the allMatrices cell array. It has to be a cell array rather than a 3-D matrix because the matrices are not all the same size. You'll see in the command window:

w =

rows =

1 2 3 4 5

For 1 rows, and 1 columns, there are 1 elements.

For 1 rows, and 2 columns, there are 2 elements.

For 1 rows, and 3 columns, there are 3 elements.

For 1 rows, and 4 columns, there are 4 elements.

For 1 rows, and 5 columns, there are 5 elements.

For 1 rows, and 6 columns, there are 6 elements.

For 1 rows, and 7 columns, there are 7 elements.

For 1 rows, and 8 columns, there are 8 elements.

For 1 rows, and 9 columns, there are 9 elements.

For 1 rows, and 10 columns, there are 10 elements.

For 1 rows, and 11 columns, there are 11 elements.

For 1 rows, and 12 columns, there are 12 elements.

For 1 rows, and 13 columns, there are 13 elements.

For 1 rows, and 14 columns, there are 14 elements.

For 1 rows, and 15 columns, there are 15 elements.

For 1 rows, and 16 columns, there are 16 elements.

For 1 rows, and 17 columns, there are 17 elements.

For 1 rows, and 18 columns, there are 18 elements.

For 1 rows, and 19 columns, there are 19 elements.

For 1 rows, and 20 columns, there are 20 elements.

For 1 rows, and 21 columns, there are 21 elements.

For 1 rows, and 22 columns, there are 22 elements.

For 1 rows, and 23 columns, there are 23 elements.

For 1 rows, and 24 columns, there are 24 elements.

For 1 rows, and 25 columns, there are 25 elements.

For 1 rows, and 26 columns, there are 26 elements.

For 1 rows, and 27 columns, there are 27 elements.

For 1 rows, and 28 columns, there are 28 elements.

For 1 rows, and 29 columns, there are 29 elements.

For 1 rows, and 30 columns, there are 30 elements.

For 2 rows, and 1 columns, there are 2 elements.

For 2 rows, and 2 columns, there are 4 elements.

For 2 rows, and 3 columns, there are 6 elements.

For 2 rows, and 4 columns, there are 8 elements.

For 2 rows, and 5 columns, there are 10 elements.

For 2 rows, and 6 columns, there are 12 elements.

For 2 rows, and 7 columns, there are 14 elements.

For 2 rows, and 8 columns, there are 16 elements.

For 2 rows, and 9 columns, there are 18 elements.

For 2 rows, and 10 columns, there are 20 elements.

For 2 rows, and 11 columns, there are 22 elements.

For 2 rows, and 12 columns, there are 24 elements.

For 2 rows, and 13 columns, there are 26 elements.

For 2 rows, and 14 columns, there are 28 elements.

For 2 rows, and 15 columns, there are 30 elements.

For 3 rows, and 1 columns, there are 3 elements.

For 3 rows, and 2 columns, there are 6 elements.

For 3 rows, and 3 columns, there are 9 elements.

For 3 rows, and 4 columns, there are 12 elements.

For 3 rows, and 5 columns, there are 15 elements.

For 3 rows, and 6 columns, there are 18 elements.

For 3 rows, and 7 columns, there are 21 elements.

For 3 rows, and 8 columns, there are 24 elements.

For 3 rows, and 9 columns, there are 27 elements.

For 3 rows, and 10 columns, there are 30 elements.

For 4 rows, and 1 columns, there are 4 elements.

For 4 rows, and 2 columns, there are 8 elements.

For 4 rows, and 3 columns, there are 12 elements.

For 4 rows, and 4 columns, there are 16 elements.

For 4 rows, and 5 columns, there are 20 elements.

For 4 rows, and 6 columns, there are 24 elements.

For 4 rows, and 7 columns, there are 28 elements.

For 5 rows, and 1 columns, there are 5 elements.

For 5 rows, and 2 columns, there are 10 elements.

For 5 rows, and 3 columns, there are 15 elements.

For 5 rows, and 4 columns, there are 20 elements.

For 5 rows, and 5 columns, there are 25 elements.

For 5 rows, and 6 columns, there are 30 elements.

MATLAB: Fprintf \n not working properly

You are printing a 5 column row:

'%12.8f %12.8f %12.8f %12.8f %12.8f \n'

but supplying 6 datatpoints:

Data(row_index,1),Data(row_index,2),Data(row_index,3),Data(row_index,4),Data(row_index,5),Data(row_index,6)

which you can write as

Data(row_index,1:6)

Best Answer

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MATLAB: Random matrix with maximum values.

MATLAB: Fprintf \n not working properly

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