Vector reductions

• Norms

• Dot product

• Result replicated on all processors

• Same syntax as non-distributed

Vector expressions

• Full spectrum of non-distributed vectors

• Same syntax as the latter

Matrix mapping with distributed views

• Scaling from left and right with a scalar value

• Division of a matrix by a scalar

• Conjugate view

• As implemented by means of local mapping, will extend naturally to new local mappings (including user-defined)

Transposition with distributed views

Hermitian of a distributed matrix

• Algorithms can use adjunct linear projection

Distributed matrix vector product

• Source and target vector can be distributed differently

• Special implementation for transposed matrix

• Works also with mapped matrices and Hermitians

Can be used as term in vector expressions

Distributed preconditioning, see above

Serialization of non-distributed containers

• Vector

• Dense matrix

• Compressed matrix

• Can be used with all boost::mpi commands

• Fast serialization for intrinsic MPI types

• Initialization of distributed matrices from files in matrix market format