cell array multiplication vectorization

I have J and K a cell array of matrices inside. I want to obtain L

    J = 
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]

    K = 
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]
        [18x18 double]

    M = magic(18);

In for loop:

    L = cell(8,1);
    for ii = 1:8
        L{ii} = M*J{ii}'*K{ii};
    end

How can I do this in a vectorized form (cell)?

Answer 1

[the cyclist]

This is a bit obfuscated, and I am not sure if it is an faster than a more straightforward version.

% Create some pretend data to mimic yours
M = magic(18);
for ii = 1:8
    J{ii} = rand(18);
    K{ii} = rand(18);
end

% Vectorized multiplication
C = cellfun(@(a,b,c)(a*b'*c),repmat({M},1,8),J,K,'UniformOutput',false);