Algebraic solution of the triangular interval linear systems

Generalized intervals (intervals whose bounds are not constrained to be increasingly ordered) extendclassical intervals and present algebraic completion of conventional interval arithmetic, allowing e cientsolution for interval linear systems. In this work, using the helpful properties of the generalized intervals,we obtain the exact solution of a triangular interval linear system namely algebraic solution, whereas inclassical interval arithmetic just an inner or outer approximation of the solution set can be obtained.

کلیدواژه ها:

Kaucher arithmetic ، Cholesky decomposition ، Interval linear systems