Data processing in a hybrid computing environment that includes a host computer, a plurality of accelerators, the host computer and the accelerators adapted to one another for data communications by a system level message passing module, the host computer having local memory shared remotely with the accelerators, the accelerators having local memory for the plurality of accelerators shared remotely with the host computer, where data processing according to embodiments of the present invention includes performing, by the plurality of accelerators, a local reduction operation with the local shared memory for the accelerators; writing remotely, by one of the plurality of accelerators to the shared memory local to the host computer, a result of the local reduction operation; and reading, by the host computer from shared memory local to the host computer, the result of the local reduction operation.