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A Study Of High Performance Multiple Precision Arithmetic On Graphics Processing Units, Niall Emmart
A Study Of High Performance Multiple Precision Arithmetic On Graphics Processing Units, Niall Emmart
Doctoral Dissertations
Multiple precision (MP) arithmetic is a core building block of a wide variety of algorithms in computational mathematics and computer science. In mathematics MP is used in computational number theory, geometric computation, experimental mathematics, and in some random matrix problems. In computer science, MP arithmetic is primarily used in cryptographic algorithms: securing communications, digital signatures, and code breaking. In most of these application areas, the factor that limits performance is the MP arithmetic. The focus of our research is to build and analyze highly optimized libraries that allow the MP operations to be offloaded from the CPU to the GPU. …