PETSc

AcronymDefinition
PETScPortable, Extensible Toolkit for Scientific Computation
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7: Iteratively solve the system using either the KSP AGMRES (Algorithm 1) or the PETSc built-in KSP GMRES [41, Algorithm 4].
Parallelism and robustness in GMRES with a Newton basis and deflated restarting
It is worth noting here that, despite all the different optimization strategies, sparse matrix products are still not standard in sparse libraries such as PETSc [2].
A streaming approach for sparse matrix products and its application in Galerkin multigrid methods
SMITH, Making automatic differentiation truly automatic: coupling PETSc with ADIC, Future Generation Computer Systems, 21 (2005), pp.
On the evaluation of finite element sensitivities to nodal coordinates
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