# Trust-region methods

Authors: Wenhe (Wayne) Ye (ChE 345 Spring 2014) Steward: Dajun Yue, Fengqi You Date Presented: Apr. 10, 2014

Authors: Issac Newton, Albert Einstein (ChE 345 Spring 2014)

Steward: Dajun Yue, Fengqi You

Date Presented: Apr. 10, 2014

## Contents |

## Introduction

Content under title 1. Vast amount of non-linear mathematical programming (NLP) methods are based on solving quadratic models that represent the original non-linear problems.

### Subtitle 1.1

Content under subtitle 1.1.

#### Sub-subtitle 1.1.1

Content under 1.1.1

### Subtitle 1.2

Content under subtitle 1.2.

## Algorithm

### Outline of the Trust-Region Algorithm

### Illustrative Example

## Strategies for Improvements

## Improved Search Algorithm

## Optimality

### Global Convergence

### Enhancements

## Performance

## Image

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Figure 1: Crazy science

## Equations

An easy way to do this is to hit the button in the editing toolbar that has a picture of a square root sign on it.

## Conclusion

A brief summary

## References

1. T.F. Edgar, D.M. Himmelblau, L.S. Lasdon, *Optimization of Chemical Processes*, McGraw-Hill, 2001.

2. L.T. Biegler, I.E. Grossmann, A.W. Westerberg, *Systematic Methods of Chemical Process Design*, Prentice-Hall: Upper Saddle River, 1997.