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

In matrix algebra, the inverse of some matrix A is a matrix Ainv if A * Ainv = Ainv * A = I, where * indicates matrix multiplication, and I is the identity matrix (1.0 values on the upper-left to ...

Abstract. Our goal is to investigate and exploit an analogy between the scaled hyperpower family (SHPI family) of iterative methods for computing the matrix inverse and the discretization of Zhang ...

The Sherman--Morrison--Woodbury formulas relate the inverse of a matrix after a small-rank perturbation to the inverse of the original matrix. The history of these formulas is presented and various ...

Over the last few issues, we've been talking about the math entity called a matrix. I've given examples of how matrices are useful and how matrix algebra can simplify complicated problems. A messy ...

Image Matrix Transformations If A is a 3 × 3 matrix then we can apply a linear transformation to each rgb vector via matrix multiplication, where [r, g, b] are the original values and [r ′, g ′, b ′] ...