In the theory of vector spaces, a set of vectors is said to be linearly independent if there exists no nontrivial linear combination of the vectors that equals the zero vector. If such a linear ...

Topics include systems of linear equations, matrix algebra, elementary matrices, and computational issues. Other areas of the course focus on the real n-space, vector spaces and subspaces, basis and ...

Gillis, N. , & Vavasis, S. A. . (2018). On the Complexity of Robust PCA and l1-Norm Low-Rank Matrix Approximation. Mathematics of Operations Research, 43, 1072-1084.

Abstract: We study the general problem of optimizing a convex function of a matrix-valued variable subject to low-rank constraints. This problem has attracted significant attention; however, existing ...