Matching closest values to each other

I have two vectors:

A = [36.1920000000000;36.8920000000000;37.8420000000000;38.4920000000000;39.3420000000000;39.9420000000000;40.7920000000000;41.3420000000000;42.1920000000000;42.7920000000000;43.6920000000000;44.2920000000000;45.1420000000000;45.7420000000000;46.6420000000000;47.3420000000000;48.2920000000000;48.9420000000000;49.8420000000000;50.5420000000000;51.5420000000000;52.1420000000000;53.0920000000000;53.6920000000000;54.6920000000000;55.3920000000000;56.3420000000000;56.9920000000000;57.8920000000000;58.4920000000000;59.3420000000000;59.9420000000000;60.7920000000000;61.3920000000000;62.2420000000000;62.8920000000000;63.7420000000000;64.3920000000000;65.2420000000000;65.8420000000000;66.7420000000000;67.3420000000000;68.1920000000000;68.7920000000000;69.7420000000000;70.3420000000000;71.1920000000000;71.8420000000000;72.7920000000000;73.4420000000000]
B = [39.1670000000000;39.8920000000000;40.5920000000000;41.3000000000000;42.0080000000000;42.7250000000000;43.4920000000000;44.2250000000000;44.9580000000000;45.6920000000000;46.4830000000000;47.2920000000000;48.1250000000000;56.9830000000000;57.7500000000000;58.5080000000000;59.1750000000000;59.9420000000000;60.6670000000000;61.4000000000000;62.1250000000000;62.9000000000000;63.6500000000000;64.3830000000000;65.1170000000000;65.8750000000000;66.6330000000000;75.0170000000000]

I want to match every value of B to the closest value in A, next to it in the second column. How to do this?

Thanks

Answer 1

[Jos (10584)]

For larger vectors, where BSXFUN will require a lot of memory, function NEARESTPOINT might be useful

A = rand(1000000,1) ; B = rand(1000000,1) ; % bsxfun will fail here!
i = nearestpoint(B, A) ;
% check
r = randperm(numel(B), 10) ; % 10 random numbers in B
[~, j] = min(abs(bsxfun(@minus, B(r), A')),[],2) % might be tricky already ...
[i(r) j] % equal :-)

It can be downloaded here: https://uk.mathworks.com/matlabcentral/fileexchange/8939-nearestpoint-x-y-m

See it's speed using

nearestpoint('test')

Answer 2

[Stephen23]

>> [~,idx] = min(abs(bsxfun(@minus,B,A.')),[],2);
>> C = [B,A(idx)]
C =
   39.167   39.342
   39.892   39.942
   40.592   40.792
   41.300   41.342
   42.008   42.192
   42.725   42.792
   43.492   43.692
   44.225   44.292
   44.958   45.142
   45.692   45.742
   46.483   46.642
   47.292   47.342
   48.125   48.292
   56.983   56.992
   57.750   57.892
   58.508   58.492
   59.175   59.342
   59.942   59.942
   60.667   60.792
   61.400   61.392
   62.125   62.242
   62.900   62.892
   63.650   63.742
   64.383   64.392
   65.117   65.242
   65.875   65.842
   66.633   66.742
   75.017   73.442