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cs.SC2010★ 1 cited
Computing Differential Equations for Integrals Associated to Smooth Fano Polytopes
Hiromasa Nakayama, Nobuki Takayama
We give an approximate algorithm of computing holonomic systems of linear differential equations for definite integrals with parameters. We show that this algorithm gives a correct…
cs.SC2010
Holonomic Gradient Descent and its Application to Fisher-Bingham Integral
Tomonari Sei, Nobuki Takayama, Akimichi Takemura +4
We give a new algorithm to find local maximum and minimum of a holonomic function and apply it for the Fisher-Bingham integral on the sphere , which is used in the directional…