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arXiv 1911.01596math.STstat.TH
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关于测度、Jacobian和Moore-Penrose逆的几点注记

Some comments about measures, Jacobians and Moore-Penrose inverse

José A. Díaz-García, Francisco J. Caro-Lopera

摘要:

本文讨论了非满秩矩阵雅可比矩阵计算的一些一般性问题。特别是,雅可比矩阵的Moore-Penrose逆推导通过矩阵微分学。然后利用简单而古老的外积理论导出了满秩情况下的雅可比矩阵。

英文摘要:

Some general problems of Jacobian computations in non-full rank matrices are discussed in this work. In particular, the Jacobian of the Moore-Penrose inverse derived via matrix differential calculus is revisited. Then the Jacobian in the full rank case is derived under the simple and old theory of the exterior product.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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