solving a singular matrix

此生再无相见时 提交于 2019-12-06 13:49:09

Eigen provides an algorithm for SVD decomposition: Jacobi SVD.

The SVD decomposition gives the null-space. Following the notations of the wikipedia article, let M = U D V be the SVD decomposition of M, where D is a diagonal matrix of the singular values. Then, from the Range, null space and rank:

The right-singular vectors [V] corresponding to vanishing singular values of M span the null space of M

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