Abstract
A novel optimal order optimal resource parallel multibody algorithm with general system applicability is derived directly from the sequential recursive \(\mathcal{O}(n)\) methods and the most recent developments in recursive constraint treatments. This new Recursive Coordinate Reduction Parallelism (RCRP) is the first optimal order \({\text{(}}\mathcal{O}(\log _2 n))\) parallel direct method with a sequential implementation that is exactly the efficient \({\text{(}}\mathcal{O}{\text{(}}n)\) algorithm. Consequently, the RCRP sets new benchmarks for performance over a wide range of problem size and parallel resources. Comparisons to existing methods also demonstrate that the RCRP is presently the best general parallel method.
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