For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex problems in logistics, finance, computer vision, and even pure math. This simple ...

Iterative regularization methods for nonlinear ill-posed equations of the form F(x) = y, where F : D(F) ⊂ X → Y is an operator between Hilbert spaces X and Y, usually involve calculation of the ...

Newton's iteration is modified for the computation of the group inverses of singular Toeplitz matrices. At each iteration, the iteration matrix is approximated by a matrix with a low displacement rank ...