Chapter 09 How is the Norm Related to the Conditioning of a System of Equations Part 1 of 2

Adequacy of Solutions (CHAPTER 9)

Topic

How is the norm related to the conditioning of a system of equations: Part 1 of 2

Summary

Learn how the norm is related to the conditioning of a system of equations.

Learning Objective

This video teaches you how the norm is related to the conditioning of a system of equations.

Transcript

Read the transcript

All Videos for this Topic

- - Ill-conditioned and well-conditioned system of equations [YOUTUBE 10:12]

- - Row sum norm of a matrix Theory [YOUTUBE 2:34]
  - Row sum norm of a matrix Example [YOUTUBE 3:06]
  - How is the norm related to the conditioning of a system of equations Part 1 of 2 [YOUTUBE 8:55]
  - How is the norm related to the conditioning of a system of equations Part 2 of 2 [YOUTUBE 5:58]
  - Properties of norms [YOUTUBE 3:37]

- - Relating changes in coefficient matrix to changes in solution vector [YOUTUBE 4:18]
  - Relating changes in coefficient matrix to changes in solution vector Proof [YOUTUBE 8:46]
  - Relating changes in right hand side vector to changes in solution vector [YOUTUBE 3:12]

- - Number of significant digits correct in my solution vector Theory [YOUTUBE 4:00]
  - Number of significant digits correct in my solution vector Example 1 [YOUTUBE 3:57]
  - Number of significant digits correct in my solution vector Example 2 [YOUTUBE 4:26]

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