Next Generation Newton-Type Methods
Published on 12. August 2019
220 pages
978-1-5361-5457-3 (ISBN)
Description
This monograph is aimed at presenting "Next Generation Newton-Type Methods," which outperform most of the iterative methods and offer great research potential for new advanced research on iterative computational methods. This monograph provides readers with a unique presentation on the subject that can be used for interdisciplinary research for the world scientific community at large. The methods presented therein are of great importance and significance since these can be extended, generalized and applied to solving equations defined not only on the real line but on abstract spaces as well. This monograph is a must-read for undergraduate students, graduate students, professors, researchers, and research scientists at all universities and colleges.
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Ram U. Verma
Next Generation Newton-Type Methods
Book
08/2019
Nova Science Publishers Inc
€210.94
Shipment within 15-20 days
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
