Computing the inverse of a matrix is one of the most important operations in machine learning. If some matrix A has shape n-by-n, then its inverse matrix Ai is n-by-n and the matrix product of Ai * A ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

Let $B \in M_{n}(C)$ be a row diagonally dominant matrix, i.e., $\sigma_i \left\vert b_{ii}\right\vert = \sum\limits_{{j=i} \atop {j\not=i}}^n} \left\vert b_{ij ...

This is a preview. Log in through your library . Abstract It is shown that a bounded bi-infinite banded totally positive matrix $A$ is boundedly invertible iff there ...

Download PDF More Formats on IMF eLibrary Order a Print Copy Create Citation This paper proposes a novel shrinkage estimator for high-dimensional covariance matrices by extending the Oracle ...

The estimated covariance matrix of the parameter estimates is computed as the inverse Hessian matrix, and for unconstrained problems it should be positive definite. If the final parameter estimates ...