Intro; Preface; Contents; Part I Advances in Mathematical and Statistical Modelling; Reuse Method for Quantum Circuit Synthesis; 1 Introduction; 2 The Reuse Method; 3 Characterization of Candidate Groups G; 4 Study of the Candidates; 4.1 The Projective Pauli Group; 4.2 The Dihedral Group; 4.3 Factorization for Two Qubits; 5 Conclusion; References; Robust Reliable Hinfty Control and Input-to-State Stabilization for Uncertain Hybrid Systems; 1 Introduction; 2 Problem Formulation and Preliminaries; 3 Main Results; 4 Numerical Example; 5 Conclusion; References; Exact Coloring of Sparse Matrices

1 Introduction2 Data Structures and Algorithm; 2.1 Column Selection and Tie-breaking Strategies; 3 Numerical Experiments; 4 Concluding Remarks; References; A General Method for Selection Function Optimization in Genetic Algorithms; 1 Introduction; 2 Optimization Setup; 2.1 Creatures; 2.2 Evaluating Fitness; 3 Algorithm; 3.1 Genetic Algorithm; 3.2 Genetic Operators; 4 Methods; 4.1 Overview; 4.2 Estimating Impact; 4.3 Model; 4.4 Selection Function Optimization; 5 Results; 6 Discussion and Conclusion; References; Exploring the Method of Colour Stealing for Contractive Iterated Function Systems

1 Introduction2 The Chaos Game; 3 Colour Stealing; 4 Discussion; 5 Conclusion; 6 Appendix; References; Infinite Products Involving Binary Digit Sums; 1 Introduction; 2 General Properties of f and a New Function h; 3 Analytical Properties of h; 4 Infinite Products; 5 Concluding Remarks; References; Part II Analytical and Computational Methods in Inverse Problems; Image-Driven Two-Point Boundary Value Inverse Problems: A Case Study; 1 Introduction; 1.1 The Collage Method for Two-Point BVPs; 1.2 A Case Study of the Inverse Problem; 1.3 Conclusion; References; Circle Inversion IFS

1 Introduction2 Contractivity of Compositions of Circle Inversion Maps; 3 Infinite IFS and the Chaos Game with Circle Inversion Maps; 4 Conclusions; References; Inverse Problems and Total Variation Minimization for Iterated Function Systems on Maps; 1 Introduction; 2 Iterated Function Systems on Maps; 3 Iterated Function Systems on Functions of Bounded Variation; 4 Total Variation Minimization; 4.1 Conclusions; References; Using the Collage Method to Solve Inverse Problems for Vector-Valued Variational Problems on a Perforated Domain in Reflexive Banach Spaces; 1 Introduction

2 Inverse Boundary Value Problems in Reflexive Banach Spaces3 Inverse Problems on Perforated Domains: An Example; 4 Conclusions; References; Inverse Problems Using Iterated Function Systems with Place-Dependent Probabilities; 1 Introduction; 2 IFS with Constant Probabilities; 3 IFS with Place-Dependent Probabilities; 4 Inverse Problem of Measure Approximation Using IFSPDP; 5 Conclusion; References; Solving Inverse Problems for Fractional ODEs via the Collage Theorem; 1 Introduction; 2 Mathematical Preliminaries and Scope; 3 Inverse Problems via Collage Coding; 4 Examples; 5 Conclusions