Table 1.

T-optimal designs for Cases (1)–(7) and their characteristics.

Case	k	T-optimal design	θk,o	optimum value	CPU (s)
1	2	$\left(\begin{array}{cc}-0.5000& 1.0000\\ 0.5003& 0.4997\end{array}\right)$	{1.8742}	−1.265625	7.526
2	3	$\left(\begin{array}{ccc}-1.0000& 0.0000& 1.0000\\ 0.2500& 0.5000& 0.2500\end{array}\right)$	{1.5000, 1.0000}	−0.250000	207.324
3	5	$\left(\begin{array}{ccccc}-1.0000& -0.5432& 0.1803& 0.7731& 1.0000\\ 0.0555& 0.1594& 0.2580& 0.3408& 0.1864\end{array}\right)$	{0.8936, 0.5416, 1.9550, 2.4591}	−0.022747	361.575
4	5	$\left(\begin{array}{ccccc}-1.0000& -0.8090& -0.3090& 0.3090& 0.8090\\ 0.2004& 0.3586& 0.2642& 0.1376& 0.0391\end{array}\right)$	{0.9997, 0.6882, 0.9989, 2.2480}	−0.003906	335.324
5	3	$\left(\begin{array}{ccc}0.9808& 3.6603& 5.0000\\ 0.4548& 0.3665& 0.1787\end{array}\right)$	{2.0837, 2.8740}	−0.231310	252.643
6	4	$\left(\begin{array}{cccc}3.0580& 5.4390& 30.0000& 30.0000\\ 0.0000& 11.6506& 22.7304& 0.0000\\ 0.2498& 0.4415& 0.2496& 0.0590\end{array}\right)$	{11.8718, 7.6432, 12.7019}	−0.533095	187.869
7	4	$\left(\begin{array}{cccc}1.8152& 4.0914& 30.0000& 30.0000\\ 0.0000& 4.1462& 0.0000& 10.1666\\ 0.0461& 0.5498& 0.0666& 0.3375\end{array}\right)$	{8.3470, 2.1013, 0.6554}	−0.867212	222.576

k – number of support points.