Conclusion: Understanding how to calculate the inverse of a matrix is essential in multiple domains, as it facilitates solving linear equations and performing manipulations on data. Although there are ...

Matrix calculations are an essential part of various mathematical, scientific, and engineering applications. In this article, we will walk you through the process of calculating a matrix, including ...

Low-rank matrix decomposition-based methods often require a prespecified rank, which is difficult to determine in practice. In this paper, we propose a novel low-rank decomposition-based matrix ...

As a paradigm to recover unknown entries of a matrix from partial observations, low-rank matrix completion (LRMC) has generated a great deal of interest. Over the years, there have been lots of works ...

In this paper we consider estimating the rank of an unknown symmetric matrix based on a symmetric, asymptotically normal estimator of the matrix. The related positive definite limit covariance matrix ...