Greetings,

I have a 2x2 linear algebraic system to be solved at each step of an 
iterative process. Julia code profiling shows that

linalg/dense.jl; \; line: 448

takes the most run time (from my A\b call), probably calling LU 
decomposition from lapack. Is there any way to speed up the calculation 
specifically due to such a small system size? I could of course use exact 
solution (also saving memory allocation by not forming arrays) but 
numerical issues matter for a few ways to write it (potential instability). 
There is no a priori knowledge about specifics of the matrix (could 
sometimes be close to singular). Any suggestions for performance 
enhancements?

Thanks,
Pavel



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