- A Note Regarding Supplemental Files
- Preface
- I. Preliminaries
- 1. Introduction
- 2. Pointer Manipulation
- 3. Recursion
- 4. Analysis of Algorithms
- II. Data Structures
- 5. Linked Lists
- 5.1. Description of Linked Lists
- 5.2. Interface for Linked Lists
- 5.3. Implementation and Analysis of Linked Lists
- 5.4. Linked List Example: Frame Management
- 5.5. Description of Doubly-Linked Lists
- 5.6. Interface for Doubly-Linked Lists
- 5.7. Implementation and Analysis of Doubly Linked Lists
- 5.8. Description of Circular Lists
- 5.9. Interface for Circular Lists
- 5.10. Implementation and Analysis of Circular Lists
- 5.11. Circular List Example: Second-Chance Page Replacement
- 5.12. Questions and Answers
- 5.13. Related Topics
- 6. Stacks and Queues
- 7. Sets
- 8. Hash Tables
- 8.1. Description of Chained Hash Tables
- 8.2. Interface for Chained Hash Tables
- 8.3. Implementation and Analysis of Chained Hash Tables
- 8.4. Chained Hash Table Example: Symbol Tables
- 8.5. Description of Open-Addressed Hash Tables
- 8.6. Interface for Open-Addressed Hash Tables
- 8.7. Implementation and Analysisof Open Addressed Hash Tables
- 8.8. Questions and Answers
- 8.9. Related Topics
- 9. Trees
- 9.1. Description of Binary Trees
- 9.2. Interface for Binary Trees
- 9.3. Implementation and Analysis of Binary Trees
- 9.4. Binary Tree Example: Expression Processing
- 9.5. Description of Binary Search Trees
- 9.6. Interface for Binary Search Trees
- 9.7. Implementation and Analysis of Binary Search Trees
- 9.8. Questions and Answers
- 9.9. Related Topics
- 10. Heaps and Priority Queues
- 10.1. Description of Heaps
- 10.2. Interface for Heaps
- 10.3. Implementation and Analysis of Heaps
- 10.4. Description of Priority Queues
- 10.5. Interface for Priority Queues
- 10.6. Implementation and Analysis of Priority Queues
- 10.7. Priority Queue Example: Parcel Sorting
- 10.8. Questions and Answers
- 10.9. Related Topics
- 11. Graphs
- 5. Linked Lists
- III. Algorithms
- 12. Sorting and Searching
- 12.1. Description of Insertion Sort
- 12.2. Interface for Insertion Sort
- 12.3. Implementation and Analysis of Insertion Sort
- 12.4. Description of Quicksort
- 12.5. Interface for Quicksort
- 12.6. Implementation and Analysis of Quicksort
- 12.7. Quicksort Example: Directory Listings
- 12.8. Description of Merge Sort
- 12.9. Interface for Merge Sort
- 12.10. Implementation and Analysis of Merge Sort
- 12.11. Description of Counting Sort
- 12.12. Interface for Counting Sort
- 12.13. Implementation and Analysis of Counting Sort
- 12.14. Description of Radix Sort
- 12.15. Interface for Radix Sort
- 12.16. Implementation and Analysis of Radix Sort
- 12.17. Description of Binary Search
- 12.18. Interface for Binary Search
- 12.19. Implementation and Analysis of Binary Search
- 12.20. Binary Search Example: Spell Checking
- 12.21. Questions and Answers
- 12.22. Related Topics
- 13. Numerical Methods
- 13.1. Description of Polynomial Interpolation
- 13.2. Interface for Polynomial Interpolation
- 13.3. Implementation and Analysis of Polynomial Interpolation
- 13.4. Description of Least-Squares Estimation
- 13.5. Interface for Least-Squares Estimation
- 13.6. Implementation and Analysis of Least-Squares Estimation
- 13.7. Description of the Solution of Equations
- 13.8. Interface for the Solution of Equations
- 13.9. Implementation and Analysis of the Solution of Equations
- 13.10. Questions and Answers
- 13.11. Related Topics
- 14. Data Compression
- 14.1. Description of Bit Operations
- 14.2. Interface for Bit Operations
- 14.3. Implementation and Analysis of Bit Operations
- 14.4. Description of Huffman Coding
- 14.5. Interface for Huffman Coding
- 14.6. Implementation and Analysis of Huffman Coding
- 14.7. Huffman Coding Example: Optimized Networking
- 14.8. Description of LZ77
- 14.9. Interface for LZ77
- 14.10. Implementation and Analysis of LZ77
- 14.11. Questions and Answers
- 14.12. Related Topics
- 15. Data Encryption
- 16. Graph Algorithms
- 16.1. Description of Minimum Spanning Trees
- 16.2. Interface for Minimum Spanning Trees
- 16.3. Implementation and Analysis of Minimum Spanning Trees
- 16.4. Description of Shortest Paths
- 16.5. Interface for Shortest Paths
- 16.6. Implementation and Analysis of Shortest Paths
- 16.7. Shortest Paths Example: Routing Tables
- 16.8. Description of the Traveling-Salesman Problem
- 16.9. Interface for the Traveling-Salesman Problem
- 16.10. Implementation and Analysis of the Traveling-Salesman Problem
- 16.11. Questions and Answers
- 16.12. Related Topics
- 17. Geometric Algorithms
- 17.1. Description of Testing Whether Line Segments Intersect
- 17.2. Interface for Testing Whether Line Segments Intersect
- 17.3. Implementation and Analysis of Testing Whether Line Segments Intersect
- 17.4. Description of Convex Hulls
- 17.5. Interface for Convex Hulls
- 17.6. Implementation and Analysis of Convex Hulls
- 17.7. Description of Arc Length on Spherical Surfaces
- 17.8. Interface for Arc Length on Spherical Surfaces
- 17.9. Implementation and Analysis of Arc Length on Spherical Surfaces
- 17.10. Arc Length Example: Approximating Distances on Earth
- 17.11. Questions and Answers
- 17.12. Related Topics
- 12. Sorting and Searching
- Index
- About the Author
- Colophon
- Copyright
Name
root
Description
Computes the root of f to which
Newton’s method converges given an initial iteration point. This
point is specified in x[0]. The
derivative of f is specified in
g. The argument
n is the maximum number of iterations
to perform. The argument delta is the
difference between successive approximations at which to stop
iterating. Upon return, successive values of
x calculated during the iteration
process are returned in the x array.
Upon return, n contains the number of
values in array x. It is the
responsibility of the caller to manage the storage associated with
x.
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