半代数集的Hausdorff边界测度的计算

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

SIAM Journal on Applied Algebra and Geometry Pub Date : 2020-01-01 DOI:10.1137/20M1314392

J. Lasserre, Victor Magron

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引用次数: 3

摘要

给定一个紧致的基本半代数集，我们给出了在该集的边界上任意有限个Hausdorff测度的矩的近似的数值格式。这也允许人们近似有趣的量，如长度，表面，或更一般的积分在边界上，尽可能紧密地从上到下。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Computing the Hausdorff Boundary Measure of Semialgebraic Sets

Given a compact basic semi-algebraic set we provide a numerical scheme to approximate as closely as desired, any finite number of moments of the Hausdorff measure on the boundary of this set. This also allows one to approximate interesting quantities like length, surface, or more general integrals on the boundary, as closely as desired from above and below.

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来源期刊

SIAM Journal on Applied Algebra and Geometry MATHEMATICS, APPLIED-

CiteScore

2.20

自引率

0.00%

发文量