Math 5610 Fundamentals of Computational Mathematics: Homework 2 Problems

  1. Task: Email the link to your repository and table of contents for your completed homework tasks. I understand that this is a very easy task. Make sure that the link is an absolute link. The link should be to the username.github.io repository for the css formatted version.
  2. Task: Implement a method/routine that computes and returns the absolute error in the approximation of a number $x$ by another number $y$. Also create an entry for the method in your software manual.
  3. Task: Implement a method/routine that computes and returns the relative error in the approximation of a number $x$ by another number $y$. Also create an entry for the method in your software manual.
  4. Task: Implement a method that will add two vectors of the same length. Also create an entry for the method in your software manual.
  5. Task: Implement a method that will return a scalar multiple of a given vector. The method should require a vector and number for the operation. Add an entry to your software manual for this method.
  6. Task: Implement a method that will compute the 2-norm of an arbitrary vector will real number entries. Add an entry to your for the method you create
  7. Task: Implement a method that will compute the 1-norm of an arbitrary vector will real number entries. Add an entry to your for the method you create
  8. Task:Implement a method that will compute the $\infty$-norm of an arbitrary vector will real number entries. Add an entry to your for the method you create
  9. Task: Write a routine that will generate a symmetric matrix that has real values in all entries of the matrix. Add an entry to your for the method you create
  10. Task: Search the internet for sites that discuss matrix norms. Look for sites that explain induced matrix norms. Write a brief summary of what you find. Limit the discussion to no more than two or three paragraphs and include links to the sites you cite.