We investigate optimal control problems subject to mixed control-state constraints. The necessary conditions are stated in terms of a local minimum principle. By use of the Fischer...
A probability-one homotopy algorithm for solving nonsmooth equations is described. This algorithm is able to solve problems involving highly nonlinear equations, where the norm of ...
Abstract: The problem of global illumination is virtually synonymouswith solving the rendering equation. Although a great deal of research has been directed toward Monte Carlo and ...
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin [5]. It was shown in [5] that SDC metho...
Andrew J. Christlieb, Benjamin W. Ong, Jing-Mei Qi...
Abstract. CG, SYMMLQ, and MINRES are Krylov subspace methods for solving large symmetric systems of linear equations. CG (the conjugate-gradient method) is reliable on positive-def...
Sou-Cheng T. Choi, Christopher C. Paige, Michael A...