MATH 2601: WEEK 5

Topics for this week are:

• Review of Gram-Schmidt and QR-decomposition
• Review orthogonal projections
• Review least squares

Text coverage:

    Sub-sections 6.1-6.4 from Section 6 of the [Notes:Th].

Online resources:

• Online notes
  • [Notes:Th] Section 6 Gram-Schmidt procedure. QR factorization. Orthogonal projection. Least squares
• Answers to selected problems
• Online notes
  • For more extensive review, consider the following notes written for 1502:
    • Notes on the Gram-Schmidt Orthogonalization Process (by Eric Carlen)
    • Notes on Orthogonal Projections and Orthogonal Complements (by Eric Carlen)
    • Notes Least Squares Solutions (by Eric Carlen)
• Maple Worksheets
  • Maple Tutorial: Introduction to Maple Worksheets from Math1502 (by Eric Carlen)

Assignment for this week:

• Problems:
  • Problem set #5
• Challenge Problem: Hermite orthogonal polynomials

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Last Modified: . School of Mathematics, Georgia Institute of Technology.