On the Use of the Conjugate Gradient Method for the Numerical Solution of First-Kind Integral Equations in Two Variables

B Bertram, H Cheng - Integral Methods in Science and Engineering, 2002 - Springer
B Bertram, H Cheng
Integral Methods in Science and Engineering, 2002Springer
… 8.2 The Methods We will use the conjugate gradient technique with two different methods
of solving the integral equation: a one-pass method where we map two dimensions to one
and a two-pass method where we solve in each direction separately. … Employing the
conjugate gradient method to solve the system inherent in both of the preceding methods,
we used the number of iterations as a regularization method. This presented several
possibilities. Those considered were some pre-set tolerance for the residual, the first …
In this chapter we study the use of the conjugate gradient method for solving Fredholm integral equations of the first kind of the form
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