Abstract: Constructing linear combinations of idempotent matrices is one of important issues. This paper firstly proposes the definition of n - by - n idempotent matrix of k. Then, the conditions that ...

We met the idea of a linear combination of matrices in chapter 3. We will now expand the definition so that we can talk about linear combinations of elements of any vector space. A sequence which is ...

Abstract: This paper studies the problem whether the smallest eigenvalue of constrained linear combinations of symmetric matrices can reach a desirable value, which actually extends the mathematical ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...