Visual Studio Magazine

Matrix Inverse Using Cayley-Hamilton with C#

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 ...
Visual Studio Magazine

Matrix Inverse Using Newton Iteration with C#

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 ...
JSTOR Daily

ON THE STRUCTURE OF THE INVERSE TO TOEPLITZ-BLOCK TOEPLITZ MATRICES AND OF THE CORRESPONDING POLYNOMIAL REFLECTION COEFFICIENTS

The results on the inversion of convolution operators as well as Toeplitz (and block Toeplitz) matrices in the 1-D (one-dimensional) case are classical and have numerous applications. We consider the ...
JSTOR Daily

On the Inverse of Some Covariance Matrices of Toeplitz Type

A matrix is said to be of Toeplitz type if it has equal elements along diagonals. These matrices, with the additional property of symmetry, arise frequently in statistical work, as covariance matrices ...