Chapter 2
Inverse problems
Listing 2.1:
Example of the direct problem
Listing 2.2:
Discretizing the direct problem
Listing 2.3:
Solving overdetermined SLAE
Figure 2.16, 17:
Solving underdetermined SLAE
Figure 2.18:
Solving underdetermined SLAE
Mathcad 13+:
Overdetermined SLAE's
Mathcad 13+:
Underdetermined SLAE's
Mathcad 13+:
Undverdetermined SLAE's - 2
Figure 2.19, 20:
Explaining SLAE with rectangular matrix
Figure 2.21, 22:
Explaining ill-conditioned SLAE
Listing 2.4:
Regularization
Figure 2.25, 26:
Regularization
Figure 2.27, 28:
Regularization
Listing 2.5:
Quasi-solution
Listing 2.6:
Choleski decomposition
Listing 2.7:
Triangular SLAE
Listing 2.8:
LU-decomposition
Listing 2.9:
QR-decomposition
Listing 2.9+:
QR-decomposition - 2
Listing 2.9++:
QR-decomposition - 3
Listing 2.9+++:
QR-decomposition - 4
Listing 2.10:
SVD-decomposition
Listing 2.11:
Linear reduction
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