Polynomial systems of equations frequently arise in many applications such as solid modelling, robotics, computer vision, chemistry, chemical engineering, and mechanical engineering. Locallyâ€¦ (More)

Russel l ' s logical paradox, formula ted in terms of Engl i sh adjectives, is cons]dered as a convenient s t a r t i ng poin t for this discussion of i ncompu tab lh ty . I t is shown to beâ€¦ (More)

Results are reported for a series of experiments involving numerical curve tracking on a shared-memory parallel computer. Several algorithms exist for finding zeros or fixed points of nonlinearâ€¦ (More)

Applications involving large sparse nonsymmetric linear systems encourage parallel implementations of robust iterative solution methods, such as GMRES(k). Two parallel versions of GMRES(k) based onâ€¦ (More)

This paper discusses the problem of partitioning rectilinear regions, with or without holes, into a minimum number of rectangles. An algorithm which solves this partitioning problem in time O(n5/2),â€¦ (More)

The success of probability-one homotopy methods in solving large-scale optimization problems and nonlinear systems of equations on parallel architectures may be significantly enhanced by the accurateâ€¦ (More)