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Theory and Modern Applications

Table 1 Iterative solution for Ex. 4.1

From: The steepest descent of gradient-based iterative method for solving rectangular linear systems with an application to Poisson’s equation

k

\(x_{1}\)

\(x_{2}\)

\(\gamma_{k}\)

1

0.9714

2.3550

0.8597

2

−2.9926

3.9902

0.0025

3

−2.9902

3.9960

0.0021

4

−3.0000

4.0000

0.0000

Solution

−3.0000

4.0000