Homework 4 |

You can either write your answers to theoretical questions on paper or
(preferably) edit them in the file `hw4/paper.tex`. Please show all the
mathematical derivations that you perform.

- The conjugate gradient algorithm is applied to iteratively optimizing
for
starting with
. Prove that, after
-th iteration, the solution is given by
, where

and is the model step at -th iteration. - If the model shaping operator
admits a
symmetric splitting
with square and invertable
, the model shaping equation can be rewritten in a symmetric form

- Prove equation (10).
- Assuming a symmetric splitting for the data shaping operator
, find a symmetric form of the data shaping equation

Homework 4 |

2014-10-21