Dr. James McCaffrey presents a complete end-to-end demonstration of computing the determinant of a matrix using the C# language. In machine learning scenarios, computing the determinant of a matrix is ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

Abstract. In this paper, Let the matrix 𝐴 ∈ 𝐶𝑛×𝑛 with Ind (𝐴) = 𝑘, we first construct two bordered matrices based on [32], which gave a method for computing the null space of 𝐴𝑘 by applying ...

In this paper a new algorithm for reducing an arbitrary real square matrix to tri-diagonal form using real similarity transformations is described. The method is essentially a generalization of a ...