Geophysical Inversion Theory and Global Optimization Methods
Caiyun Liu, Jie Xiong
(2018)
Geophysical Inversion Theory and Global Optimization Methods: pp.
37-44.
Chapter 4 Iterative linear inverse methods
The following sections are included:
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4.1. Iterative method for linear equations
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4.1.1. Linear inverse problems and the Euler equation
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4.1.2. The minimal residual method
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4.1.3. Using MRM solve the Linear inverse problem
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4.2. A generalized minimal residual method
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4.2.1. The Krylov-subspace method
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4.2.2. The Lanczos minimal residual method
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4.2.3. The generalized minimal residual method
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4.2.4. Solving a linear inverse problem with generalized MRM
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4.3. The regularization method in linear inversion
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4.3.1. The Euler equation for the Tikhonov parameteric functional
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4.3.2. Generalized MRM solution of the linear regularization inversion
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References