Taiwanese Journal of Mathematics, Vol. 10, No. 5 (September 2006), pp. 1329-1344 (16 pages) Consider the nonlinear matrix equation X + A* X⁻² A = I, where A is an n × n complex matrix, I the identity ...
Linear algebra is the hidden language of artificial intelligence, powering everything from neural networks to dimensionality reduction. Mastering concepts like vectors, matrices, eigenvalues, and ...
Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...
In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...