The Premium Solver Platform's Interval
Global Solver is a truly pioneering Solver engine. It uses the
Moore-Skelboe Interval Branch
and Bound algorithm to systematically and efficiently search the
region enclosed by the bounds on the variables for all
locally optimal solutions, or all real solutions of a system
of equations. It
employs a variety of methods to tighten bounds on regions or reduce
the size of "boxes," including the mean value form and the Interval
Newton method with the Krawczyk operator, the linear enclosure form
and the Simplex method for linear enclosures of constraints, and
interval constraint propagation using both hull consistency and box
consistency methods.
New Solutions Report
The Premium Solver Platform also includes a new Solutions
Report for problems solved with the Interval Global Solver. (Click
on the worksheet to see it full size.)
For a system of nonlinear equations, the Answer
Report shows only a single solution, but the Solutions Report shows
you all real solutions. For a system of inequalities, the
Answer Report again shows you only a single feasible point, but the
Solutions Report shows you an "inner solution" -- a region
or set of points where all of the constraints are satisfied.
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