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Evaluates the High Performance Fortran (HPF) language for the compact expression and efficient implementation of conjugate-gradient iterative matrix-solvers on high-performance computing and communications (HPCC) platforms. We discuss the use of intrinsic functions, data distribution directives and explicitly parallel constructs to optimize performance by minimizing communications requirements in a portable manner. We focus on implementations using the existing HPF definitions but also discuss issues arising that may influence a revised definition for HPF-2. Some of the codes discussed are available on the World Wide Web at http://www.npac.syr.edu/hpfa/, along with other educational and discussion material related to applications in HPF.