Stable Solution of Inverse Problems

Inhaltsverzeichnis

• I Basic Concepts.
• 1 Introduction.
• 2 Ill-posed problems.
• 3 Regularization.
• II Regularization Methods.
• 4 The singular value decomposition.
• 5 Applications of the singular value decomposition.
• 6 The method of Tikhonov.
• 7 Regularization by discretization.
• III Least Squares Solutions of Systems of Linear Equations.
• 8 Least squares problems.
• 9 Numerical aspects of least squares problems.
• IV Specific Topics.
• 10 Convolution equations.
• 11 The final value problem.
• 12 Parameter identification.
• References.
• Notations.