Syllabus

Vector spaces
Linear mapping and matrix
Linear mapping vector space
Algebraic structure of linear mapping
Matrix and rank
Inverse linear mapping
duality
Linear devices
volume and determinants
Polynomials
Polynomial zeros
Polynomial factorization in mixed and real fields
Eigenvalues and eigenvectors
Fixed subspaces
Eigenvectors and eigenvalues
Linear independent eigenvectors
Special spaces and diagonalization of matrices
Internal multiplicative spaces
Inner multiplication and distance definition
Orthogonal bases
Operators of internal multiplicative spaces
Operators and parsing
Polar decomposition
Analysis of single values
Cholsky analysis
Analysis of LU
QR analysis
Additive operators
Normal operators
Unitary and isometric operators
Positive operators

We will post slides on the course website after each lecture.

• Assignments: 50% (20% Homework Assignments + 30% Programming Exercises)
• Midterm Exam: 25%
• Final Exam: 25%

All communicated/handled on CW.