Parallel interval multisplittings

Summary We introduce interval multisplittings to enclose the setS={A^–1b|AA], bb]}, where A] denotes an interval matrix and b] an interval vector. The resulting iterative multisplitting methods have a natural parallelism. We investigate these methods with respect to convergence, speed of convergence and quality of the resulting enclosure forS.Dedicated to the memory of Peter Henrici