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!
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Friday 5 December:
computing eigenvalues (Lecture 27 in T&B) -
Wednesday 3 December:
eigenvalue algorithms; Hessenberg matrices (Lecture 25 and 26 in T&B) -
Monday 1 December:
eigenvalue-revealing factorizations -
Monday 24 November:
Cholesky; eigenvalues (Lecture 23 and 24 in T&B) -
Friday 21 November:
(in)stability of Gauss elimination with partial pivoting (Lecture 22 in T&B) -
Wednesday 19 November:
Gauss elimination with partial pivoting (Lecture 21 in T&B)
Matlab documentation for "A\b"; scroll down for flowchart -
Monday 17 November:
Gauss elimination, actually (Lecture 20 in T&B) -
Friday 14 November:
solution by Householder QR is backward stable (Lecture 16 in T&B)
culture only: How History Shaped the Programming Terms We Still Use Today -
Wednesday 12 November:
Midterm Quiz 2 -
Monday 10 November:
back-substitution is backward stable (Lecture 17 in T&B) -
Friday 7 November:
the fundamental theorem of scientific computing (Thm 15.1) -
Wednesday 5 November:
cont. (Lecture 15 in T&B) -
Monday 3 November:
backward stability -
Friday 31 October:
epsilon_machine; algorithms (Lecture 14 in T&B)
worksheet: 12-bit standard (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)