I.3: Block Relaxation

1. Introduction
2. Definition
3. First Examples
   1. Multiple-Block Least Squares
   2. Two-Block Least Squares
4. Generalized Block Relaxation
   1. Rasch Model
   2. Nonlinear Least Squares
5. Block Order
6. Rate of Convergence
   1. LU Form
   2. Product Form
   3. Block Optimization Methods
   4. Block Newton Methods
   5. Constrained Problems
7. Additional Examples
   1. Canonical Correlation
   2. Singular Value Decomposition
   3. Optimal Scaling with LINEALS
   4. Multinormal Maximum Likelihood
   5. Array Multinormals
   6. Rasch, Once More
8. Counterexamples
   1. Convergence to a Saddle
   2. Convergence to an Incorrect Solution
   3. Nonconvergence and Cycling
   4. Sublinear Convergence