
Next Generation Newton-Type Methods
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Content
- Intro
- NEXT GENERATIONNEWTON-TYPE METHODS
- NEXT GENERATIONNEWTON-TYPE METHODS
- Contents
- Preface
- Chapter 1Next Generation Newton - TypeMethods
- Abstract
- 1. NGNT Methods
- 1.1. Newton'sMethods
- 1.2. NGNT Method (2)
- 1.3. Quadratic Convergence Analysis for (2)
- 2. NGNT Quasi-Methods
- 3. NGNT Method (17)
- 4. Quadratic Convergence Analysis for (17)
- 5. Higher-Order NGNT -Methods
- 6. General Remarks
- References
- Chapter 2NGNT Method I
- Abstract
- 1. Cubic Convergence Analysis
- 2. Some Examples
- 3. General Remarks
- References
- Chapter 3Next Generation Newton - TypeMethod II
- Abstract
- 1. NGNT Method II
- 2. Cubic Convergence
- 3. General Remarks
- References
- Chapter 4Next Generation Newton-TypeMethod III with CubicConvergence
- Abstract
- 1. Next Generation Newton-Type Method III
- 2. Cubic Convergence Analysis
- 3. Some Examples
- 4. General Remarks
- References
- Chapter 5NGNT Method I and LocalConvergence
- Abstract
- 1. Next Generation Newton-Type Methods
- 2. Local Convergence Analysis
- 3. Some Observations
- 4. Some Numerical Examples
- 5. Local Convergence Ball Analysis
- References
- Chapter 6Next Generation Newton-TypeMethod II and LocalConvergence Analysis
- Abstract
- 1. Next Generation Newton-Type Method II
- 2. Cubic Convergence Analysis
- 3. Local Convergence Analysis for (1)
- 4. Majorizing Sequences
- 5. Semi-Local Convergence
- 6. Some Examples
- 7. General Remarks
- References
- Chapter 7Next Generation Newton-TypeMethod III
- Abstract
- 1. Cubic Convergence
- 2. Local Convergence
- 3. Majorizing Sequences
- 4. Semi-Local Convergence
- 5. Numerical Examples
- References
- General References
- About the Author
- Index
- Blank Page
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