Gäller från och med: Autumn 2019
Beslutad av: FN1/Anders Gustafsson
Datum för fastställande: 2014-04-22
Avdelning: Mathematics
Kurstyp: Ren forskarutbildningskurs
Undervisningsspråk: 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.
Kunskap och förståelse
För godkänd kurs skall doktoranden
Färdighet och förmåga
För godkänd kurs skall doktoranden
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.
Undervisningsformer: Föreläsningar, övningar
Examinationsformer: Skriftlig tentamen, muntlig tentamen, inlämningsuppgifter.
The assignments are two minor programming exercises in Matlab and Maple, respectively.
Betygsskala: Underkänd, godkänd
Examinator:
The tertiary course coincides with the secondary course FMA120/FMAN70 Matrix theory except that the tertiary course also encompasses three subjects which the doctoral student may choose from five alternatives. Replaces FMA120F.
Kursansvariga: