Front Cover; Information Linkage between Applied Mathematics and Industry II; Copyright Page; Table of Contents; Contributors; Preface; PART I: INVITED PAPERS; CHAPTER 1. CONSTRAINED INTERVAL ESTIMATION FOR LINEAR MODELS WITH ILL-CONDITIONED EQUATIONS; I. INTRODUCTION; II. THE ERRORS IN THE RIGHT-HAND SIDE; III. THE AUXILIARY CONSTRAINTS; IV. CASE OF FULL RANK; V. THE GENERAL CASE; VI. BIAS BOUNDING; VII. ITERATIVE IMPROVEMENT; VIII. REGULARITY CONDITIONS; IX. ERRORS IN THE MATRIX; X. AN EXAMPLE PROBLEM; REFERENCES; CHAPTER 2. ROBUST STABILITY OF LINEAR SYSTEMS: ENGINEERING MOTIVATION

1. INTRODUCTION2. THE CONTROL SYSTEM DESIGN PROCESS; 3. MODELING; 4. STABILITY OF FEEDBACK SYSTEMS AND ITS ROBUSTNESS; 5. ANALYSIS, COMPUTATIONS, AND SYNTHESIS; 6. CONCLUSION; REFERENCES; CHAPTER 3. ROBUST STABILITY OF LINEAR SYSTEMS -- SOME COMPUTATIONAL CONSIDERATIONS; 1. INTRODUCTION; 2. THE LINEAR SYSTEMS SETTING; 3. BASIC STABILITY RESULTS AND RELATED TOPICS; 4. COMPUTATIONAL PROBLEMS; 5. CONCLUSIONS; ACKNOWLEDMENTS; REFERENCES; CHAPTER 4. ELLIPTIC EQUATIONS IN METEOROLOGY; I. INTRODUCTION; II. GLOBAL MODEL INITIALIZATION; III. THREE-DIMENSIONAL CLOUD MODEL

IV. SHALLOW WATER PRIMITIVE EQUATION MODELV. SUMMARY; REFERENCES; CHAPTER 5. SOFTWARE FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS; 1. INTRODUCTION; 2. THE HELMHOLTZ EQUATION; 3. EXISTING SOFTWARE; 4. CONCLUSION; REFERENCES; PART II: CONTRIBUTED PAPERS AND ABSTRACTS OF CONTRIBUTED PAPERS; Section 1: Theory and Computation of Linear Systems; CHAPTER 6. BLOCK DIAGONALIZATION OF ILL-CONDITIONED MATRICES; CHAPTER 7. APPLICATIONS OF EXACT INVERSION OF ARBITRARILY ILL-CONDITIONED MATRICES; CHAPTER 8. OUT OF CORE GRAM-SCHMIDT ORTHOGONALIZATION FOR COMPUTERS WITH LIMITED CAPACITY; I. INTRODUCTION

II. THE FORTRAN IV ALGORITHM COMMENT CARDSIII. CONCLUDING REMARKS; REFERENCES; CHAPTER 9. MATRIX EVALUATION OF PRODUCT-TYPE QUADRATURE COEFFICIENTS; 1. INTRODUCTION; 2. EVALUATION OF THE COEFFICIENTS; 3. EXTENSION AND LIMITATIONS OF THE PRECISION; 4. APPLICATIONS; REFERENCES; CHAPTER 10. SOLVING EQUATIONS EXACTLY ON ILLIAC IV; CHAPTER 11. AN IMPROVED DETERMINATION OF THE CHARACTERISTIC POLYNOMIAL FOR THE STANDARD EIGENVALUE PROBLEM; Section 2: Least Squares, Regression, and Systems Identification; CHAPTER 12. AEROMAGNETIC COMPENSATION AS A LINEAR REGRESSION PROBLEM

1. MODELLING FOR AEROMAGNETIC COMPENSATION2. COEFFICIENT SENSITIVITY AND MULTICOLLINEARITES; 3. GRADIENT INTERFERENCE MEASUREMENT AND COMPENSATION; 4. ADVANCED REGRESSION TECHNIQUES FOR IMPROVED PREDICTION; 5. CONCLUSIONS; ACKNOWLEDGMENTS; REFERENCES; CHAPTER 13. CALCULATION OF RESPONSE CORRELATION MATRICES FOR AIRCRAFT SUBJECT TO THREE-DIMENSIONAL TURBULENCE; I. INTRODUCTION; II. AIRCRAFT DYNAMIC MODEL DESCRIPTION; III. TURBULENCE MODEL; IV. FORMULATION OF THE RESPONSE CORRELATION MATRIX; V. NUMERICAL EXAMPLE; VI. CONCLUSION; REFERENCES