We've had a small amount of debate over the years on how to handle the Hermitian transpose and non-Hermitian transpose that never got fully resolved.
Approach 1) Each (complex) matrix has a full set of transpose and Hermitian transpose operations (MatTranspose(), MatHermitianTranspose(), MatMultTranspose()), MatMultHermitianTranspose(), MatSolveTranspose(), MatSolveHermitianTranspose(), MatMatMultTranspose(), MatMatMultHermitianTranspose(), MatTranposeMatMult(), MatHermitianTransposeMatMult().......) plus there are two vector "inner" products; VecDot() and VecTDot(). Approach 2) Consider a (complex) vector (and hence the associated matrix operators on it) to live in the usual Hermitian inner product space or the non-Hermitian "inner product space". Then one only needs a single VecDot() and MatTranspose(), MatMultTranspose() ... that just "does the right thing" based on what space the user has declared the vectors/matrices to be in. Approach 2) seems nicer since it only requires 1/2 the functions :-) and so long as the two vector "spaces" never interact directly (for example what would be the meaning of the "inner" product of a vector in the usual Hermitian inner product space with a vector from the non-Hermitian "inner product space"?) certain seems simpler. Approach 1) might be simpler for some people who like to always see exactly what they are doing. I personally wish I had started with Approach 2 (but I did not), but there could be some flaw with it I am not seeing. Barry > On Feb 23, 2015, at 6:50 PM, Andrew Spott <[email protected]> wrote: > > I’m definitely willing to submit it as a pull request. > > Also, while I’m at it, I’m going to write a “duplicate” function for > transpose and hermitian_transpose. Just because this seems 1) easy ( > MatHermitianTranspose can return a new copy, as well as MatTranspose), and 2) > necessary to use these for EPS. > > Also, is “transpose” a good enough MatType? Or does a new one need to be > written? > > -Andrew > > > > On Mon, Feb 23, 2015 at 3:12 PM, Jed Brown <[email protected]> wrote: > > <signature.asc> >
