Daily Log

Daily topics and PDFs (handouts and worksheets) will appear here as they occur. Note that our textbook by Trefethen and Bau (=T&B) is organized by Lectures. See also the Schedule. You do not have to turn-in any handout or worksheet!

• Friday 31 October:
  machine epsilon meaning
  worksheet: floating-point practice (PDF)
• Wednesday 29 October:
  axioms for floating point
  handout: summary of the IEEE 754 floating-point standard (PDF)
• Monday 27 October:
  floating point (Lecture 13 in T&B)
  worksheet: condition numbers practice (PDF)
• Friday 24 October:
  computing condition numbers
• Wednesday 22 October:
  cont.
• Monday 20 October:
  defining conditioning (Lecture 12 in T&B)
  is the stuff we are learning relevant to modern AI? oh yes!
• Friday 17 October:
  algorithms for linear least squares
• Wednesday 15 October:
  linear least squares (Lecture 11 in T&B)
• Monday 13 October:
  cont.
• Friday 10 October:
  Householder reflections for QR (Lecture 10 in T&B)
  handout: the 4-page paper by Householder in 1958 (PDF)
• Wednesday 8 October:
  Midterm Quiz 1
• Monday 6 October:
  review-by-worksheet, more MGS
  worksheet: recalling and using matrix factorizations (PDF)
• Friday 3 October:
  modified Gram-Schmidt (Lecture 8 in T&B)
• Wednesday 1 October:
  cont.
• Monday 29 September:
  classical Gram-Schmidt as QR (Lecture 7 in T&B)
• Friday 26 September:
  orthogonal projectors
• Wednesday 24 September:
  projectors (Lecture 6 in T&B)
• Monday 22 September:
  applications of SVD
• Friday 19 September:
  existence of SVD
• Wednesday 17 September:
  computing SVD by hand and code (Lecture 5 in T&B)
• Monday 15 September:
  singular value decomposition (SVD)! (Lecture 4 in T&B)
• Friday 12 September:
  class cancelled
• Wednesday 10 September:
  induced matrix norms
  handout: matrix norm essentials (PDF)
  article in Danish on Piet Hein, including Sergels plaza in Stockholm
• Monday 8 September:
  vector norms (Lecture 3 in T&B)
• Friday 5 September:
  unitary matrices
• Wednesday 3 September:
  inner products, orthogonality, adjoints (Lecture 2 in T&B)
• Friday 29 Aug:
  matrix multiplication, invertible matrices, Matlab intro
• Wednesday 27 Aug:
  thinking matrix multiplication (Lecture 1 in T&B)
  example Matlab/Octave, Python, Julia codes, and PDF documentation (in .zip)
• Monday 25 Aug:
  getting started
  worksheet: visualize vectors and matrices (PDF)