| D.M. Gay. Solving interval linear equations. SIAM Journal on Numerical Analysis, 19(4):858--870, 1982. |
....decomposition procedure is shown in algorithm 4. To improve the efficiency of linear constraint solving, we pass the linear constraint T 0 = P j k=1 (s k Theta T k ) to the non linear solver instead of the linear solver. Interval linear constraint solving usually involves variable elimination [20, 23, 43], which is a time consuming process. If we deliver the constraint T 0 = P j k=1 (s k Theta T k ) to the linear solver, the temporary variables T k , for k = 1; 2; j, are unique there and they can never be eliminated. Thus, such a delivery does not help to give sharper results, but only ....
D.M. Gay. Solving interval linear equations. SIAM Journal on Numerical Analysis, 19(4):858--870, 1982.
....procedure is shown in algorithm 4.1. To improve the efficiency of linear constraint solving, we pass the linear constraint T 0 = P j k=1 (s k Theta T k ) to the non linear solver instead of the linear solver. Interval linear constraint solving usually involves variable elimination [20, 25, 48], which is a time consuming symbolic algorithm. If we deliver the constraint T 0 = P j k=1 (s k Theta T k ) to the linear solver, the temporary variables T k , for k = 1; 2; j, are unique there and they can never be eliminated. Thus, such a delivery does not help to give sharper ....
D.M. Gay. Solving interval linear equations. SIAM Journal on Numerical Analysis, 19(4):858--870, 1982.
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