| I MATRICES AND RELATED TOPICS 1 Determinants 2 Matrices and Matrix Operations 3 Eigenvalues and Eigenvectors 4 Matrix Transformations 5 Matrix Functions 6 Moore-Penrose Pseudoinverse 7 Hermitian and Quadratic Forms 8 Linear Matrix Equations 9 Stable Matrices and Polynomials 10 Algebraic Riccati Equation 11 Linear Matrix Inequalities 12 Miscellaneous II ANALYSIS 13 The Real and Complex Number Systems 14 Sets, Functions and Metric Spaces 15 Integration 16 Selected Topics of Real Analysis 17 Complex Analysis 18 Topics of Functional Analysis III DIFFERENTIAL EQUATIONS AND OPTIMIZATION 19 Ordinary Differential Equations 20 Elements of Stability Theory 21 Finite-Dimensional Optimization 22 Variational Calculus and Optimal Control 23 H2 and H∞ Optimization 811 |
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