Tpetra: Add symbolic & numeric analysis phases to KokkosSparse::CrsMatrix

[mhoemmen]

This would let us use TPLs like the MKL inspector-executor interface, that have separate analysis and apply phases.

[mhoemmen]

#147 needs this for a clean implementation. My initial experiments just hack things into Tpetra::CrsMatrix, but the point is to put this in KokkosKernels.

[srajama1]

What is symbolic and numeric phase for a matrix ?

[mhoemmen]

What is symbolic and numeric phase for a matrix ?

"Symbolic" here means "setup that does not depend on the values in the matrix," and "numeric" means "setup that does depend on the values." This is mainly relevant to kernels that have an "apply" method, like sparse mat-vec and sparse triangular solve (MKL inspector-executor interface supports both).

The point of having "symbolic" and "numeric" setup live in KokkosKernels, is to let TPL handles and code setting up those handles live entirely in KokkosKernels. KokkosKernels users should be able to access TPL kernels without using Tpetra.

[srajama1]

Still confusing. What does setup here mean ? Sorry if this was something obvious.

[mhoemmen]

What does setup here mean ?

https://software.intel.com/en-us/node/590017

[mhoemmen]

Discussion of KokkosKernels handles shows that this properly belongs in the "handle," not in KokkosSparse::CrsMatrix.