GLOBAL OPTIMIZATION USING INTERVAL ANALYSIS

By H. FISIU

1 INTRODUCTION 2 INTERVAL NUMBERS AND ARITHMETIC 3 FUNCTIONS OF INTERVALS 4 CLOSED INTERVAL SYSTEMS 5 LINEAR EQUATIONS 6 INEQUALITIES 7 TAYLOR SERIES AND SLOPE EXPANSIONS 8 QUADRATIC EQUATIONS AND INEQUALITIES 9 NONLINEAR EQUATIONS OF ONE VARIABLE 10 CONSISTENCIES 11 SYSTEMS OF NONLINEAR EQUATIONS 12 UNCONSTRAINED OPTIMIZATION 13 CONSTRAINED OPTIMIZATION 14 INEQUALITY CONSTRAINED OPTIMIZATION 15 EQUALITY CONSTRAINED OPTIMIZATION 16 THE FULL MONTY 17 PERTURBED PROBLEMS AND SENSITIVITY ANALYSIS 18 MISCELLANY REFERENCES