Sensitivity Analysis of the Matrix Equation from Interpolation Problems

Table 1

Backward error for Example 1 with different values of  𝑗.

𝑗	‖𝑋−𝑋‖𝐹	𝑟	U(r)	B(r)
1	0.2298	0.0633	0.0630	0.0637
3	2.3×10^−3	6.3391×10^−4	6.3387×10^−4	6.3394×10^−4
5	2.2978×10^−5	6.3391×10^−6	6.3391×10^−6	6.3391×10^−6
7	2.2978×10^−7	6.3391×10^−8	6.3391×10^−8	6.3391×10^−8
9	2.2978×10^−9	6.3391×10^−10	6.3391×10^−10	6.3391×10^−10