Homework

Graded Homework Solution Submission:

Expected results comprise

• A PDF document with your solutions to any written problems in the assignment. This file should be kept separate from the files containing the solution for the programming problem.
• A PDF document describing your solutions as prescribed in the notes on writing up a programming solution posted on the class website.
• The source code should be sumbmitted. You may be asked to demonstrate your code on problems chosen by Yue. You will use these submitted routines and files to do so.
• Code documentation should be included in each routine.
• All text files that do not contain code or other supporting files for the code must be PDF files. Do not send Microsoft word files of any type or any other text processing input/wysiwyg files.

The files should be placed in a zip file or other standard compressed format. You should organize the files appropriately, e.g., in directories: one for the written solutions and any supporting figures or documents; one for the programming solution document and any supporting figures if not included in the PDF; one for code and supporting files;Do not submit large amounts of essentially raw data. Part of the assignment is to effectively write a document so the reader does not have to analyze your data to assess your claims.

Graded Homeworks:

• Program Assignment 3 (pdf)
• Written Problems Homework 3 (pdf)
• Clarification on Program 2: Empirical Task 1 has several examples of matrix families with structure. This structure has implications for the structure of the LU factors and the behavior of factorization codes using the various pivoting options. You should analyze them and predict the structure and behavior of the your codes. You should then verify your predictions by running and examining the results of your codes. Your solutions should include the answers to the questions posed in the task specification and evidence supporting your validation of the predictions with your codes.
• Program Assignment 2 (pdf)
• Matlab Example Driver Code for Program 2
• Test Driver for LU factorization routine
• Matlab Example Codes for Triangular System Solves
• These will be useful for the Program 2 on LU factorization.
• Test Driver for solver subroutines
• Uv solver column oriented
• Uv solver row oriented
• Lv solver column oriented with unit lower triangular L
• Lv solver row oriented with unit lower triangular L
• Written Problems Homework 1 (pdf)
• Program Assignment 1 (pdf)
• Matlab Example Codes for Program 1
• Test Driver for multiplication subroutines
• Uv multiplication column oriented
• Uv multiplication row oriented

Study Questions

You are not expected to turn in the solutions to these problem sets. The solutions are posted shortly after the sets are posted but you are encouraged to attempt them before consulting the solutions. The problems have a considerable range in difficulty and the solutions for the difficult problems are written in a tutorial style. They include problems of the level of difficulty that may be found on the exams, in the graded homeworks, and difficult ones that are meant to provide background and fundamental results (similar to those results that may be the subject of explanatory documents or papers posted on the class website). If you have any doubt about which are which consult me.

• Study Questions Set 5 (pdf)
• Study Questions Set 4 (pdf)
• Study Questions Set 3 (pdf)
• Study Questions Set 2 (pdf)
• Study Questions Set 1 (pdf)