In this paper, the unitarily invariant norm ∥·∥ on 𝕔m×n is used. We first discuss the problem under what case, a rectangular matrix A has minimum condition number K (A) = ∥A∥ ∥A⁺∥, where A⁺ ...

In this paper, we investigate the condition numbers for the generalized matrix inversion and the rank deficient linear least squares problem: minx ∥Ax-b∥₂, where A is an m-by-n (m ≥ n) rank deficient ...

The Data Science Lab Matrix Inverse from Scratch Using QR Decomposition with C# Dr. James McCaffrey of Microsoft Research guides you through a full-code, step-by-step tutorial on "one of the most ...

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 ...