Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

Mathematics of Operations Research, Vol. 12, No. 4 (Nov., 1987), pp. 678-699 (22 pages) We consider generalizations of the steepest descent algorithm for solving asymmetric systems of equations. We ...

An intermediate level course in the analytical and numerical study of ordinary differential equations, with an emphasis on their applications to the real world. Exact solution methods for ordinary ...