Valid from: Autumn 2013
Decided by: FN1/Anders Gustafsson
Date of establishment: 2014-04-22
Division: Mathematics
Course type: Third-cycle course
Teaching language: English
The aim of the course is to give knowledge about the structure of finite dimensional linear maps, and their representing matrices, which is necessary for research in mathematics and, e.g., control theory.
Knowledge and Understanding
For a passing grade the doctoral student must
Competences and Skills
For a passing grade the doctoral student must
Matrices and determinants. Linear spaces. Spectral theory.The Jordan normal form. Matrix factorizations. Matrix polynomials and matrix functions. Norms. Scalar products. Singular values. Normal matrices. Quadratic and Hermitian forms. The Least Squares method and pseudo inverses. Direct products of Matrices. Matrices with polynomial elements. Non-negative matrices.
The book covers the part of the course which coincides with the second cycle course. For postgraduate students additional material will be provided. Both editions work.
Types of instruction: Lectures, exercises
Examination formats: Written exam, oral exam, written assignments.
The assignments are two minor programming exercises in Matlab and Maple, respectively.
Grading scale: Failed, pass
Examiner:
The tertiary course coincides with the secondary course FMA120 Matrix theory except that the tertiary course also encompasses three subjects which the doctoral student may choose from five alternatives.
Course coordinators: