Table 6 Results for Example 5.5 using Algorithm in Corollary 4.2
From: Gradient projection method with a new step size for the split feasibility problem
Choiceness u | Starting points \(x_{0}\) | Number of iterations | CPU (s) | Approximate solution \(x^{*}\) | Approximate of \(q_{1}(x^{*})\) | Approximate of \(q_{2}(x^{*})\) | Approximate of \(\|x^{*}\|_{2}\) |
|---|---|---|---|---|---|---|---|
\((2,0,0)^{T}\) | \((1,1,1)^{T}\) | 1901 | 3.295 | \((1.999999,0.001343,0.001343)^{T}\) | −4.00000 | −4.99865 | 2.00000 |
\((2,0,0)^{T}\) | \((2,2,2)^{T}\) | 2336 | 4.486 | \((1.999998,0.001651,0.001651)^{T}\) | −3.99999 | −4.99834 | 2.00000 |
\((2,0,0)^{T}\) | \((1,2,3)^{T}\) | 2716 | 4.576 | \((1.999998,0.001506,0.002259)^{T}\) | −3.99999 | −4.99773 | 2.00000 |
\((3,0,0)^{T}\) | \((1,1,1)^{T}\) | 2209 | 3.935 | \((2.998244,0.000948,0.000948)^{T}\) | −4.00000 | −9.98852 | 2.99824 |
\((3,0,0)^{T}\) | \((2,2,2)^{T}\) | 2417 | 3.505 | \((2.999133,0.001595,0.001595)^{T}\) | −3.99999 | −9.99320 | 2.99913 |
\((3,0,0)^{T}\) | \((1,2,3)^{T}\) | 2821 | 3.955 | \((2.998563,0.001346,0.002019)^{T}\) | −3.99999 | −9.98936 | 2.99856 |
\((1,2,0)^{T}\) | \((1,1,1)^{T}\) | 1667 | 3.375 | \((1.000131,1.998964,0.001299)^{T}\) | −0.00414 | −1.99896 | 2.23520 |
\((1,2,0)^{T}\) | \((2,2,2)^{T}\) | 2068 | 3.745 | \((1.000919,1.999901,0.001849)^{T}\) | −0.00039 | −1.99999 | 2.23639 |
\((1,2,0)^{T}\) | \((1,2,3)^{T}\) | 2363 | 4.566 | \((0.999977,1.999833,0.002357)^{T}\) | −0.00066 | −1.99760 | 2.23591 |