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Articles

On the choice of Lagrange multipliers in the iterated Tikhonov method for linear ill-posed equations in Banach spaces

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Pages 796-826 | Received 21 Feb 2019, Accepted 15 Aug 2019, Published online: 09 Sep 2019

Figures & data

Figure 1. Deconvolution problem: Numerical experiments.

Figure 1. Deconvolution problem: Numerical experiments.

Figure 2. Image deblurring problem: (LEFT) Point Spread Function; (CENTER) Exact image; (RIGHT) Blurred image.

Figure 2. Image deblurring problem: (LEFT) Point Spread Function; (CENTER) Exact image; (RIGHT) Blurred image.

Figure 3. Image deblurring problem: Reconstructions (TOP LEFT) L2–Geometric; (TOP RIGHT) L2+TV–Geometric; (BOTTOM LEFT) L2+TV–Secant; (BOTTOM RIGHT) L2+TV–Adaptive.

Figure 3. Image deblurring problem: Reconstructions (TOP LEFT) L2–Geometric; (TOP RIGHT) L2+TV–Geometric; (BOTTOM LEFT) L2+TV–Secant; (BOTTOM RIGHT) L2+TV–Adaptive.

Figure 4. Image deblurring problem: Numerical experiments.

Figure 4. Image deblurring problem: Numerical experiments.

Figure 5. Inverse Potential problem: Numerical experiments.

Figure 5. Inverse Potential problem: Numerical experiments.

Figure 6. Inverse Potential problem: (TOP LEFT) Exact solution x. Reconstructions (TOP RIGHT) L1–Geometric; (BOTTOM LEFT) L1–Newton; (BOTTOM RIGHT) L1–Adaptive.

Figure 6. Inverse Potential problem: (TOP LEFT) Exact solution x⋆. Reconstructions (TOP RIGHT) L1–Geometric; (BOTTOM LEFT) L1–Newton; (BOTTOM RIGHT) L1–Adaptive.

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