Hi Jose,

>> Since I just stumbled over VecMDot_SeqCUSP() when interfacing ViennaCL: Do 
>> you know what was the reason why the 'old' version was replaced by this 
>> expensive call to gemv() including the creation of temporaries, etc.? Just 
>> writing a custom kernel with one work group per dot-product should do the 
>> job perfectly, shouldn't it?
>
> My fault: 
> https://bitbucket.org/petsc/petsc-hg/commits/ec7a7de2acd477e5edd24cc5a3af441ce7a68a36
>
> The motivation was that the previous version was even worse for me (VecMDot 
> is used a lot in SLEPc and GPU performance was really bad). At that time I 
> did not have the time to write a custom kernel. If you write one, I could 
> help in testing and measuring performance.

Thanks for providing the context. It makes sense to me now, because for 
eigenvalue computations you typically have a lot more vectors taking 
part in mdot as compared to GMRES. This looks like an archetypal example 
for using two different kernels: The first is suitable for 'small' 
numbers of vectors (GMRES), while the second is more gemv-like and good 
for larger vector counts (SLEPc). I'll let you know as soon as it's 
ready for testing.

Thanks and best regards,
Karli

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