All lectures are open to the public and will be held in Lerner 230

Lecture Schedule

Computing Information

William Symes and Rakesh

Lecture notes and materials

• Symes lectures
• Rakesh lectures

Week 2: Inverse Scattering in the Frequency Domain

John Sylvester, David Colton, Fioralba Cakoni and Tilo Arens

Lecture notes and materials

• Cakoni lectures 1 2 3
• Arens lectures

Week 3: Variational Analysis of Inverse Problems

Jonathan Borwein and Russell Luke

Recommended Texts

• Borwein & Vanderwerff, Convex Functions: Constructions, Characterizations and Counterexamples  (2009).
• Borwein & Lewis, Convex Analysis and Nonlinear Optimization (2006).
• Borwein & Zhu, Techniques of Variational Analysis (2005).
• Boyd & Vandenbergh, Convex Optimization (2004) (available online).
• Byrne, Applied Iterative Methods (2006) (available online)

Schedule of Topics

• Day 1: Motivation and Overview.
• Day 2: Convex Duality and Applications.
• Day 3: Variational Principles and Applcations.
• Day 4: Monotone and Nonexpansive Maps: algorithms and convergence.
• Day 5: Algegbraic Reconstruction Methods and Interactive Geometry.

Materials

• Borwein's links
• Luke's index of materials
• Chris Hamilton's Convex Analysis Toolkit


Paul Eggermont: Noisy Tikhonov Regularization