1 Numerical Range. - 1. 1 Elliptic Range. - 1. 2 Spectral Inclusion. - 1. 3 Numerical Radius. - 1. 4 Normal Operators. - 1. 5 Numerical Boundary. - 1. 6 Other W-Ranges. - Endnotes for Chapter 1. - 2 Mapping Theorems. - 2. 1 Radius Mapping. - 2. 2 Analytic Functions. - 2. 3 Rational Functions. - 2. 4 Operator Products. - 2. 5 Commuting Operators. - 2. 6 Dilation Theory. - Endnotes for Chapter 2. - 3 Operator Trigonometry. - 3. 1 Operator Angles. - 3. 2 Minmax Equality. - 3. 3 Operator Deviations. - 3. 4 Semigroup Generators. - 3. 5 Accretive Products. - 3. 6 Antieigenvalue Theory. - Endnotes for Chapter 3. - 4 Numerical Analysis. - 4. 1 Optimization Algorithms. - 4. 2 Conjugate Gradient. - 4. 3 Discrete Stability. - 4. 4 Fluid Dynamics. - 4. 5 LaxWendroff Scheme. - 4. 6 Pseudo Eigenvalues. - Endnotes for Chapter 4. - 5 Finite Dimensions. - 5. 1 Value Field. - 5. 2 Gersgorin Sets. - 5. 3 Radius Estimates. - 5. 4 Hadamard Product. - 5. 5 Generalized Ranges. - 5. 6 W(A) Computation. - Endnotes for Chapter 5. - 6 Operator Classes. - 6. 1 Resolvent Growth. - 6. 2 Three Classes. - 6. 3 Spectral Sets. - 6. 4 Normality Conditions. - 6. 5 Finite Inclusions. - 6. 6 Beyond Spectraloid. - Endnotes for Chapter 6. Language: English