Measuring the performance for parallel matrix multiplication algorithm.

Aldea, Costel

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M. D. Ugarte (2008)

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On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm

Takao Komatsu (1998)

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We obtain the values concerning $(θ, ϕ) = l i m i n f_{| q | \to \infty} | q | ‖ q θ - ϕ ‖$ using the algorithm by Nishioka, Shiokawa and Tamura. In application, we give the values (θ,1/2), (θ,1/a), (θ,1/√(ab(ab+4))) and so on when θ = (√(ab(ab+4)) - ab)/(2a) = [0;a,b,a,b,...].