Course Content (Syllabus)
1. Introduction 2. Canonical Forms (Invariant polynomials, elementary divisors, Smith canonical form, first and second canonical form, Jordan canonical form, applications) 3. Matrix Functions (Interpolatory polynomials, matrix components, matrix sequences and series, relations between matrix functions, applications) 4. Matrix Norms 5. Generalized Inverses (Hermite canonical form, Moore-Penrose generalized inverse, solving linear systems using generalized inverses, best approximate solution, least square generalized inverse, applications)
Keywords
Canonical Forms, Matrix Functions, Matrix Norms, Generalized Inverses