Vector functionally-oriented processors with "vertical parallelism" for operations on quaternions

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    The paper deals with approaches for creation and algorithmically-structural features of the hardware for direct hardware implementation of operation on hypercomplex numbers (for example, quaternions). The are described basic list of operations on quaternions and features of hardware implementation of these operations by processing elements, that belong to the class of functionally-oriented processors. These processors are optimized for acceleration the multiplication of quaternions and do not depend on digit capacity of component of quaternions. Also, this article has a briefly reviews the main feature of operating resources of SIMD-multiprocessor system for operations on quaternions that uses functionally-oriented processors and implemented on modern programmable logical devices.
Yaroslav Klyatchenko, Vladimir Tarasenko, Julia Boyarinova, Yakov Kalynovskiy Vector functionally-oriented processors with "vertical parallelism" for operations on quaternions / Journal of Qafqaz University. Mathematics and Computer Science - 2013, Vol.1 - N.2 - P.83-90