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<!--l. 1--><div class="crosslinks"><p class="noindent"><span
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class="cmr-12">[</span><a
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<h3 class="likesectionHead"><a
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id="x2-1000"></a><span
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class="cmr-12">Abstract</span></h3>
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id="Q1-2-2"></a>
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<!--l. 5--><p class="noindent" ><span
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class="cmcsc-10x-x-120">AMG4PSBLAS (A<span
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<span
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class="cmcsc-10x-x-120">PSBLAS</span><span
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class="cmr-12">) is a package of parallel algebraic multilevel preconditioners included in the</span>
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<span
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class="cmr-12">PSCToolkit (Parallel Sparse Computation Toolkit) software framework. It is a progress</span>
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<span
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class="cmr-12">of a software development project started in 2007, named MLD2P4, which originally</span>
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<span
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class="cmr-12">implemented a multilevel version of some domain decomposition preconditioners of</span>
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<span
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class="cmr-12">additive-Schwarz type and was based on a parallel decoupled version of the well known</span>
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<span
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class="cmr-12">smoothed aggregation method to generate the multilevel hierarchy of coarser</span>
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<span
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class="cmr-12">matrices. In the last years, within the context of the EU-H2020 EoCoE project</span>
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<span
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class="cmr-12">(Energy Oriented Center of Excellence), the package is being extended for</span>
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<span
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class="cmr-12">including new algorithms and functionalities to setup and apply new AMG</span>
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<span
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class="cmr-12">preconditioners with the final aims of improving efficiency and scalability when tens of</span>
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<span
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class="cmr-12">thousands cores are used and of boosting reliability in dealing with general</span>
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<span
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class="cmr-12">symmetric positive definite linear systems. Due to the significant number</span>
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<span
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class="cmr-12">of changes and the increase in scope, we decided to rename the package as</span>
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<span
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class="cmr-12">AMG4PSBLAS.</span>
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<!--l. 14--><p class="indent" > <span
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class="cmr-12">AMG4PSBLAS is designed to provide scalable and easy-to-use preconditioners in</span>
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<span
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class="cmr-12">the context of the PSBLAS (Parallel Sparse Basic Linear Algebra Subprograms)</span>
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<span
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class="cmr-12">computational framework and can be used in conjuction with the Krylov solvers</span>
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<span
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class="cmr-12">available in this framework. Our package is based on a completely algebraic approach</span>
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<span
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class="cmr-12">and users level interfaces assume that the system matrix and preconditioners are</span>
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<span
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class="cmr-12">represented as PSBLAS distributed sparse matrices. AMG4PSBLAS enables the user</span>
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<span
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class="cmr-12">to easily specify different features of an algebraic multilevel preconditioner, thus</span>
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<span
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class="cmr-12">allowing to experiment with different preconditioners for the problem and parallel</span>
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<span
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class="cmr-12">computers at hand.</span>
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<!--l. 25--><p class="indent" > <span
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class="cmr-12">The package employs object-oriented design techniques in Fortran</span><span
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class="cmr-12"> 2003, with</span>
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<span
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class="cmr-12">interfaces to additional third party libraries such as MUMPS, UMFPACK, SuperLU,</span>
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<span
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class="cmr-12">and SuperLU</span><span
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class="cmr-12">_Dist, which can be exploited in building multilevel preconditioners. The</span>
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<span
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class="cmr-12">parallel implementation is based on a Single Program Multiple Data (SPMD)</span>
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<span
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class="cmr-12">paradigm; the inter-process communication is based on MPI and is managed mainly</span>
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<span
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class="cmr-12">through PSBLAS.</span>
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<!--l. 33--><p class="indent" > <span
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class="cmr-12">This guide provides a brief description of the functionalities and the user interface</span>
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<span
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class="cmr-12">of AMG4PSBLAS.</span>
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<!--l. 123--><div class="crosslinks"><p class="noindent"><span
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class="cmr-12">[</span><a
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href="userhtmlli2.html" ><span
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class="cmr-12">next</span></a><span
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class="cmr-12">] [</span><a
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class="cmr-12">front</span></a><span
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class="cmr-12">] [</span><a
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class="cmr-12">] </span></p></div>
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