A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
SIAM Journal on Scientific Computing
An implementation of the QMR method based on coupled two-term recurrences
SIAM Journal on Scientific Computing
Using MPI: portable parallel programming with the message-passing interface
Using MPI: portable parallel programming with the message-passing interface
Applied Numerical Mathematics - Special issue on massively parallel computing and applications
QMRPACK: a package of QMR algorithms
ACM Transactions on Mathematical Software (TOMS)
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
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HUTI is a framework for development of libraries of iterative methods, especially the Krylov methods. For every algorithm the same implementation is used for all memory models and architectures, including the parallel systems. This leads to significant benefits in maintenance and debugging. The callback function approach has been employed extensively. This makes it possible to parallelize HUTI-based algorithms simply by rewriting the necessary callbacks. This flexibility comes with a price, however, for the responsibility for selecting the appropriate matrix data structures has been delegated to the user. Thus, HUTI itself cannot be used to solve any systems directly but it can easily be embedded into domain-specific solvers.