New algorithm computes holonomic submodule of partial Weyl closure via non-commutative Rabinowitsch trick, implemented in Julia with reported speedups over Singular and Macaulay2.
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An algorithm computes exact volumes of semi-algebraic convex bodies to arbitrary precision via periods represented by linear DEs, with convexity reducing creative telescoping steps exponentially.
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Computing a holonomic submodule of the partial Weyl closure
New algorithm computes holonomic submodule of partial Weyl closure via non-commutative Rabinowitsch trick, implemented in Julia with reported speedups over Singular and Macaulay2.
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Exact Volumes of Semi-Algebraic Convex Bodies
An algorithm computes exact volumes of semi-algebraic convex bodies to arbitrary precision via periods represented by linear DEs, with convexity reducing creative telescoping steps exponentially.