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Mathematical Background
Numerical Examples
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RISOLV is a Robust Iterative SOLVer for large scale linear systems.
The algorithm is based on polynomial approximation in the complex plane.
RISOLV DOES NOT STAGNATE OR BREAKDOWN. Whenever a theoretical polynomial
algorithm can reach a solution, so does RISOLV with number of iterations close to optimal.
Compared to leading iterative methods(e.g. GMRES ), RISOLV reduces the computation time of
large industrial problems by orders of magnitude. Its main advantages:
1. Robustness
2. Fast convergence.
3. Krylov space of low dimension.
4. Small amount of inner-products ( very attractive for parallel computing ).
5. Solving a system more then once ( with different right hand side), the number of inner-products is
negligible( very attractive for parallel computing ).
Risolv is a result of 10 years of research and is based on advanced mathematical theorems related to general polynomial approximation in the complex plane.
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