CIS 515, Spring 2012

Some Course Notes and Slides

Notes

  • ** Basics of Algebra and Analysis (manuscript) (html)
  • ** Fundamentals of Linear Algebra and Optimization; Some Notes (pdf)

    Slides

  • ** Problems, Questions and Motivations; Basics of Linear Algebra   (slides, pdf)
  • ** Gaussian, LU, and Choleski Decompositions   (slides, pdf)
  • ** Determinants and Applications   (slides, pdf)
  • ** Normed spaces and matrix norms; condition number of a matrix   (slides, pdf)
  • ** Iterative Methods for Solving Linear Systems   (slides, pdf)
  • ** Euclidean Spaces   (slides, pdf)
  • ** QR-Decomposition for Arbitrary Matrices   (slides, pdf)
  • ** Basics of Hermitian Geometry   (slides, pdf)
  • ** Eigenvectors and Eigenvalues   (slides, pdf)
  • ** Spectral Theorems in Euclidean and Hermitian Spaces   (slides, pdf)
  • ** Introduction to the Finite Elements Method   (slides, pdf)
  • ** Singular Value Decomposition (SVD) and Polar Form   (slides, pdf)
  • ** Applications of SVD and Pseudo-Inverses   (slides, pdf)
  • ** Quadratic Optimization Problems   (slides, pdf)

    Back to Gallier Homepage

    published by:

    Jean Gallier